CN109802820A - 基于序列的信号处理方法及信号处理装置 - Google Patents

基于序列的信号处理方法及信号处理装置 Download PDF

Info

Publication number
CN109802820A
CN109802820A CN201811303070.9A CN201811303070A CN109802820A CN 109802820 A CN109802820 A CN 109802820A CN 201811303070 A CN201811303070 A CN 201811303070A CN 109802820 A CN109802820 A CN 109802820A
Authority
CN
China
Prior art keywords
sequence
arrangement set
signal
signal processing
arrangement
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201811303070.9A
Other languages
English (en)
Other versions
CN109802820B (zh
Inventor
曲秉玉
龚名新
刘建琴
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Huawei Technologies Co Ltd
Original Assignee
Huawei Technologies Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority to CN202311467510.5A priority Critical patent/CN117692118A/zh
Application filed by Huawei Technologies Co Ltd filed Critical Huawei Technologies Co Ltd
Priority to CN202011569373.2A priority patent/CN112532368B/zh
Priority to PCT/CN2018/116011 priority patent/WO2019096268A1/zh
Priority to CN202210038693.8A priority patent/CN114422097A/zh
Priority to EP18879785.6A priority patent/EP3713177B1/en
Priority to JP2020526895A priority patent/JP7221958B2/ja
Priority to CN201880074425.3A priority patent/CN111727591B/zh
Priority to CN202210038358.8A priority patent/CN114422096A/zh
Priority to EP22154713.6A priority patent/EP4099653B1/en
Priority to BR112020009824-8A priority patent/BR112020009824A2/pt
Publication of CN109802820A publication Critical patent/CN109802820A/zh
Priority to US16/874,039 priority patent/US11177992B2/en
Priority to US17/484,833 priority patent/US11606238B2/en
Priority to JP2022172579A priority patent/JP7436605B2/ja
Priority to US18/112,220 priority patent/US20230275795A1/en
Application granted granted Critical
Publication of CN109802820B publication Critical patent/CN109802820B/zh
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/0001Arrangements for dividing the transmission path
    • H04L5/0003Two-dimensional division
    • H04L5/0005Time-frequency
    • H04L5/0007Time-frequency the frequencies being orthogonal, e.g. OFDM(A), DMT
    • H04L5/0008Wavelet-division
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2614Peak power aspects
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2602Signal structure
    • H04L27/261Details of reference signals
    • H04L27/2613Structure of the reference signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2626Arrangements specific to the transmitter only
    • H04L27/2627Modulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2626Arrangements specific to the transmitter only
    • H04L27/2627Modulators
    • H04L27/2628Inverse Fourier transform modulators, e.g. inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2626Arrangements specific to the transmitter only
    • H04L27/2627Modulators
    • H04L27/2634Inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators in combination with other circuits for modulation
    • H04L27/2636Inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators in combination with other circuits for modulation with FFT or DFT modulators, e.g. standard single-carrier frequency-division multiple access [SC-FDMA] transmitter or DFT spread orthogonal frequency division multiplexing [DFT-SOFDM]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2649Demodulators
    • H04L27/265Fourier transform demodulators, e.g. fast Fourier transform [FFT] or discrete Fourier transform [DFT] demodulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2655Synchronisation arrangements
    • H04L27/2689Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation
    • H04L27/2692Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation with preamble design, i.e. with negotiation of the synchronisation sequence with transmitter or sequence linked to the algorithm used at the receiver
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2655Synchronisation arrangements
    • H04L27/2689Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation
    • H04L27/2695Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation with channel estimation, e.g. determination of delay spread, derivative or peak tracking
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/003Arrangements for allocating sub-channels of the transmission path
    • H04L5/0048Allocation of pilot signals, i.e. of signals known to the receiver
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Landscapes

  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Mathematical Physics (AREA)
  • Discrete Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
  • Lubricants (AREA)
  • Cosmetics (AREA)
  • Curing Cements, Concrete, And Artificial Stone (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)
  • Medicines That Contain Protein Lipid Enzymes And Other Medicines (AREA)

Abstract

本申请提供了一种基于序列的信号处理方法及装置,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{xn},xn为所述序列{xn}中的元素,确定的序列{xn}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。

Description

基于序列的信号处理方法及信号处理装置
本申请要求于2017年11月16日提交中国专利局、申请号为201711140831.9、申请名称为“基于序列的信号处理方法及信号处理装置”的中国专利申请的优先权,其全部内容通过引用结合在本申请中。
技术领域
本申请涉及通信技术领域,尤其是,涉及一种基于序列的信号处理方法及信号处理装置。
背景技术
在长期演进(long term evolution,LTE)系统中,物理上行共享信道(physicaluplink shared channel,PUSCH)使用解调参考信号(demodulation reference signal,DMRS)进行信道估计,从而进行信号解调。在LTE系统中,上行DMRS的基序列直接映射到资源元上,不需要任何编码处理。在LTE中,上行DMRS参考序列被定义为基本序列的循环移位,上行DMRS的基序列由Zadoff-Chu序列(ZC序列)循环扩充获得。该ZC序列,是满足恒包络零自相关(constant amplitude zero auto-correlation,CAZAC)序列性质的序列。
在新无线电接入技术(new radio access technology,NR)中支持上行离散傅里叶变换扩频的正交频分复用多址接入(Discrete Fourier Transform spread OFDM,DFT-s-OFDM)波形使用π/2BPSK调制方法,并且支持π/2BPSK调制时使用滤波。在上行DFT-s-OFDMDMRS波形使用π/2BPSK调制时,该上行DMRS可以使用基于Gold序列的序列,还可以使用计算机生成序列(Computer Generated Sequence,CGS)。目前,拟在NR中支持DFT-s-OFDM DMRS波形使用ZC序列。但是,在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制方式,并使用滤波器时,若上行DFT-s-OFDM DMRS波形使用基于Gold序列的序列或者CGS时,若不能进行合适的筛选,会导致序列的频率平坦度较差,从而不利于进行信道估计。若上行DFT-s-OFDM DMRS波形使用ZC序列会导致DMRS的峰均功率比(peak-to-average power ratio,PAPR)比传输数据的PAPR高,导致导频信号带外杂散发射和带内信号损失,影响信道估计性能,或者导致上行覆盖受限。
也就是说,采用现有的用于PDSCH的DMRS所使用的序列,不能够满足目前利用PUSCH发送信号的通信应用环境。
发明内容
有鉴于此,本申请实施例提供一种基于序列的信号处理方法及通信设备,用于提供新的序列,已满足利用PUSCH发送信号的通信应用环境。
本申请实施例提供如下技术方案:
本申请实施例的第一方面提供了一种基于序列的信号处理方法,包括:确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;这里,所述第一序列集合中的序列可参见说明书中的记载;生成第一信号并发送。
需要注意的是,序列{xn}所满足的预设条件可以有多种等价的表示方式,例如,预设条件还可以表示为:xn=A·bn′·jn mod 2,其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。元素bn′=u·(1-2·sn′),u为非零复数。两种预设条件的表示方式虽然不同,但是当sn′和sn满足时,两种预设条件所描述同一个序列{xn}。
也就是说,针对序列{xn},无论其所满足的预设条件采用什么方式表示,只要当sn′和sn满足时,满足任意方式表示的预设条件的序列{xn}等同于一个序列。
在一种可能的设计中,当N=18时,可以根据上述方法进行相应操作;当N=18时也可以按照下述方法进行相应操作,下述方法为:当N=18时,确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;这里,所述第三序列集合中的序列可参见说明书中的记载。
上述方案,利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
在一种可能的设计中,所述生成第一信号并发送,包括:对所述序列{xn}中的N个元素进行离散傅里叶变换处理,得到序列{fn};将所述序列{fn}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{fn}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号;生成第一信号;通过射频发送所述第一信号。
在一种可能的设计中,所述生成第一信号包括:对所述包含N个元素的频域信号进行快速傅里叶反变换,得到对应的时域信号,并为所述时域信号添加循环前缀,生成第一信号。
在一种可能的设计中,还包括:在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之前,对所述序列{xn}进行滤波;或者,
在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之后,对所述序列{xn}进行滤波;
或者,在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之前或者之后,都不对所述序列{xn}进行滤波。
在一种可能的设计中,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。
在一种可能的设计中,由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列,这里,所述第二序列集合中的序列参见说明书中的记载。
在一种可能的设计中,当N=18时,由元素sn组成的序列{sn}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列,这里,所述第四序列集合中的序列参见说明书中的记载。
在一种可能的设计中,所述等价序列为{qn},所述等价序列{qn}中的元素qn满足qn=s(n+M)modN,M∈{0,1,2,...,N-1},N为序列长度。
本申请实施例的第二方面提供了一种基于序列的信号处理方法,信号处理方法包括:
接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一,这里所述第一序列集合中的序列可参见说明书中的记载;根据所述序列{xn}中的N个元素对所述第一信号进行处理。
需要注意的是,序列{xn}所满足的预设条件可以有多种等价的表示方式,例如,预设条件还可以表示为:xn=A·bn′·jn mod 2,其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。元素bn′=u·(1-2·sn′),u为非零复数。两种预设条件的表示方式虽然不同,但是当sn′和sn满足时,两种预设条件所描述同一个序列{xn}。
也就是说,针对序列{xn},无论其所满足的预设条件采用什么方式表示,只要当sn′和sn满足时,满足任意方式表示的预设条件的序列{xn}等同于一个序列。
在一种可能的设计中,当N=18时,可以根据上述方法进行相应操作;当N=18时也可以按照下述方法进行相应操作,下述方法为:当N=18时,接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,…,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;这里,所述第三序列集合中的序列可参见说明书中的记载。
上述方案,利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
在一种可能的设计中,所述接收承载在N个子载波上的第一信号,获取序列序列{xn}中的N个元素,包括:在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;获取序列{fn}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{fn}映射至N个子载波上生成,fn为所述序列{fn}中的元素;对所述序列{fn}进行离散傅里叶反变换处理,获取序列{xn}中的N个元素。
在一种可能的设计中,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。
在一种可能的设计中,由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列,这里,所述第二序列集合中的序列参见说明书中的记载。
在一种可能的设计中,当N=18时,由元素sn组成的序列{sn}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列,这里,所述第四序列集合中的序列参见说明书中的记载。
在一种可能的设计中,所述等价序列为{qn},所述等价序列{qn}中的元素qn满足qn=s(n+M)modN,M∈{0,1,2,…,N-1},N为序列长度。
本申请实施例的第三方面提供了一种信号处理装置,所述信号处理装置可以是通信设备,也可以是通信设备内的芯片,所述通信设备或所述芯片具有实现第一方面或其任意可能的设计中的基于序列的信号处理方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的单元。
所述通信设备包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是收发器,所述收发器包括射频电路,可选地,所述通信设备还包括存储单元,所述存储单元例如可以是存储器。当所述通信设备包括存储单元时,所述存储单元用于存储计算机执行指令,所述处理单元与所述存储单元连接,所述处理单元执行所述存储单元存储的计算机执行指令,以使所述通信设备执行第一方面或其任意可能的设计中的基于序列的信号处理方法。
所述芯片包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是所述芯片上的输入/输出接口、管脚或电路等。所述处理单元可执行存储单元存储的计算机执行指令,以使所述芯片执行第一方面或其任意可能的设计中的基于序列的信号处理方法。可选地,所述存储单元可以是所述芯片内的存储单元(例如,寄存器、缓存等),所述存储单元还可以是所述通信设备内的位于所述芯片外部的存储单元(例如,只读存储器(read-only memory,ROM))或可存储静态信息和指令的其他类型的静态存储设备(例如,随机存取存储器(random access memory,RAM))等。
第三方面中提到的处理器可以是一个中央处理器(central processing unit,CPU)、微处理器或专用集成电路(application specific integrated circuit,ASIC),也可以是一个或多个用于控制第一方面或其任意可能的设计的基于序列的信号处理方法的程序执行的集成电路。
本申请实施例的第四方面提供了一种信号处理装置,所述信号处理装置可以是通信设备,也可以是通信设备内的芯片,所述通信设备或所述芯片具有实现第二方面或其任意可能的设计中的基于序列的信号处理方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的单元。
所述通信设备包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是收发器,所述收发器包括射频电路,可选地,所述通信设备还包括存储单元,所述存储单元例如可以是存储器。当所述通信设备包括存储单元时,所述存储单元用于存储计算机执行指令,所述处理单元与所述存储单元连接,所述处理单元执行所述存储单元存储的计算机执行指令,以使所述通信设备执行第二方面或其任意可能的设计中的基于序列的信号处理方法。
所述芯片包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是所述芯片上的输入/输出接口、管脚或电路等。所述处理单元可执行存储单元存储的计算机执行指令,以使所述芯片执行第二方面或其任意可能的设计中的基于序列的信号处理方法。可选地,所述存储单元可以是所述芯片内的存储单元(例如,寄存器、缓存等),所述存储单元还可以是所述通信设备内的位于所述芯片外部的存储单元(例如,只读存储器(read-only memory,ROM))或可存储静态信息和指令的其他类型的静态存储设备(例如,随机存取存储器(random access memory,RAM))等。
第四方面中提到的处理器可以是一个中央处理器(central processing unit,CPU)、微处理器或专用集成电路(application specific integrated circuit,ASIC),也可以是一个或多个用于控制第二方面或其任意可能的设计的基于序列的信号处理方法的程序执行的集成电路。
本申请实施例的第五方面提供了一种通信系统,所述通信系统包括本申请实施例的第三方面提供的通信设备,以及本申请实施例的第四方面提供的通信设备。
本申请实施例的第六方面提供了一种计算机可读存储介质,用于存储计算机指令,当其在计算机上运行时,使得计算机执行本申请实施例的第一方面或第二方面提供的的基于序列的信号处理方法。
本申请实施例的第七方面提供了一种包含指令的计算机程序产品,当其在计算机上运行时,使得计算机执行本申请实施例的第一方面或第二方面提供的基于序列的信号处理方法。
本申请实施例公开的上述基于序列的信号处理方法、基于序列的信号处理装置、通信系统、计算机可读存储介质及计算机程序产品,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{xn},xn为所述序列{xn}中的元素,确定的序列{xn}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
附图说明
图1为本申请实施例公开的一种基于序列的信号发送处理的流程示意图;
图2为本申请实施例公开的一种终端设备确定序列{xn}的流程示意图;
图3为本申请实施例公开的终端设备生成并发送第一信号的流程示意图;
图4a,图4b和图4c为本申请实施例公开的包含N个元素的序列{xn}经DFT得到频域的包含N个元素的序列{fn}的示意图;
图5a和图5b为本申请实施例公开的包含N个元素的序列{xn}经DFT得到的频域的包含N个元素的序列{fn}映射到N个子载波上的示意图;
图6为本申请实施例公开的网络设备处理第一信号的示意图;
图7a和图7b为本申请实施例公开的判断一个时域序列的频域是否平坦的流程示意图;
图8为本申请实施例公开的一种终端设备的结构示意图;
图9为本申请实施例公开的另一种终端设备的结构示意图;
图10为本申请实施例公开的一种网络设备的结构示意图;
图11为本申请实施例公开的另一种网络设备的结构示意图;
图12为本申请实施例公开的一种通信系统的结构示意图。
具体实施方式
本申请实施例提供了一种基于序列的信号处理方法及通信设备,通过确定满足PUSCH发送信号所使用的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
本申请实施例和权利要求书及附图中的描述中,除非另有说明,“多个”是指两个或多于两个。另外,为了便于清楚描述本申请实施例的技术方案,在本申请的实施例中,采用了“第一”、“第二”等字样对功能和作用基本相同的相同项或相似项进行区分。本领域技术人员可以理解“第一”、“第二”等字样并不对数量和执行次序进行限定,并且“第一”、“第二”等字样也并不限定一定不同。此外,本申请实施例和权利要求书及附图中的术语“包括”和“具有”不是排他的。例如,包括了一系列步骤或模块的过程、方法、系统、产品或设备没有限定于已列出的步骤或模块,还可以包括没有列出的步骤或模块。
在通信系统中,通常使用参考信号求取信道估计矩阵,从而解调数据信息。目前,在LTE系统,4G系统、4.5G系统,5G系统,以及NR系统或NR类似场景中,支持在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制时,该上行DMRS可以使用基于Gold序列的序列,还可以使用CGS。但是,在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制方式,并使用滤波器时,若上行DMRS使用基于Gold序列的序列或者CGS时,若不能进行合适的筛选,会导致序列的频率平坦度较差,从而不利于进行信道估计。当前,拟在NR中支持DFT-s-OFDM DMRS波形使用ZC序列。
ZC序列是满足CAZAC序列性质的序列,其数学上的定义如下,当ZC序列长度N为偶数时:当ZC序列长度N为奇数时:ZC序列的周期是其序列的长度,且满足中心对称的性质。除此之外,ZC序列有着良好的自相关性和互相关性,其自相关系数在起始点为N,其它点均为零,而不同根间的互相关系数近似为但是,在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制方式时,使用ZC序列会导致DMRS的PAPR比传输数据的PAPR高,导致导频信号带外杂散发射和带内信号损失,影响信道估计性能,或者导致上行覆盖受限。
为了确保LTE系统、4G系统、4.5G系统,5G系统,以及NR系统或NR类似场景中,甚至其他具有更高要求的通信系统或通信应用环境中,使用于PDSCH的DMRS所使用的序列,在PDSCH发送信号能够保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,本发明实施例提供了一种基于序列的信号处理的具体实现过程,通过以下实施例进行详细说明。
在本发明实施例中,主要从通信系统或通信应用环境中的接收侧和发送侧对基于序列的信号处理进行描述。其中,接收侧可以是网络设备,发送侧可以是终端设备;或者接收侧可以是终端设备,发送侧可以是网络侧。下面的实施例中以接收侧为网络设备、发送侧为终端设备为例进行描述,但本发明不限于此。
在本申请实施例中涉及到的终端设备可以为用户设备。用户设备可以为有线设备,也可以为无线设备。其中,无线设备可以为具有无线连接功能的手持式设备、或连接到无线调制解调器的其他处理设备,经无线接入网与一个或多个核心网进行通信的移动终端。例如,无线终端可以为移动电话、手机、计算机、平板电脑、个人数码助理(personaldigital assistant,PDA)、移动互联网设备(mobile internet device,MID)、可穿戴设备和电子书阅读器等。又如,无线终端也可以是便携式、袖珍式、手持式、计算机内置的或者车载的移动设备。再如,无线终端可以为移动站或接入点。
在本申请实施例中涉及到的网络设备可以为基站。基站可以包括各种形式的宏基站,微基站,中继站,接入点基站控制器,发送和接收点等等。在采用不同的无线接入技术的系统中,基站的具体名称可能会有所不同。
如图1所示,为本申请实施例公开的一种基于序列的信号处理方法的流程示意图,包括:
S101,终端设备确定包括N个元素的序列{xn}。
S101的执行,可选的,可以是终端设备在入网后,确定包括N个元素的序列{xn}。也可以是,网络设备在终端设备接入网络时,由网络设备确定序列{bn}并配置给终端设备,由终端设备基于该序列{bn}确定包含N个元素的序列{xn}。N为大于1的正整数。
在具体实现中,xn为序列{xn}中的元素,bn为序列{bn}中的元素。确定的序列{xn}为满足预设条件的序列。该预设条件为:xn=A·bn·jn
其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。元素bn=u·(1-2·sn),u为非零复数。
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。
其中,由元素sn组成的序列{sn}为第一序列集合中的序列之一或第一序列集合中的序列的等价序列之一。
在一种可能的实施例中,当N=18时,也可以基于上述预设条件进行计算,并执行相应的操作。
在另一种可能的实施例中,当N=18时,该预设条件也可以为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jn,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。元素bn=u·(1-2·sn),u为非零复数,(n+M)modN为y的下角标。
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。
其中,由元素sn组成的序列{sn}为第三序列集合中的序列之一。
另一方面,在另一可能的实施例中,当N=12时,和/或,当N=18时,和/或,当N=24时,所述预设条件还可以为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jnmod2,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,(n+M)modN为y的下角标。
其中,由元素sn组成的序列{sn}的集合至少包括第五序列集合中的序列之一。
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。
其中,由元素sn组成的序列{sn}为第三序列集合中的序列之一。
一种可能的示例中,当第一序列集合中的序列长度为12,即N=12时,第一序列集合中的序列集合1中的部分或全部,该序列集合1中的序列包括下述61个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.05dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.52dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB。同时满足{xn}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,即所对应的序列{xn}的频域平坦度比较好:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};
和,如下8个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB:同时满足{xn}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,即所对应的序列{xn}的频域平坦度比较好:
{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};
{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,1,1,1,1,0,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1}。
一种可能的示例中,当第一序列集合中的序列长度为24,即N=24时,该第一序列集合中的序列包括序列集合2中的部分或全部,该序列集合2包括下述194个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好:
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};
和,如下述100个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好:
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}。
一种可能的示例中,当第一序列集合中的序列长度为36,即N=36时,该第一序列集合中的序列包括序列集合3中的部分或全部,该序列集合3中的包括下述144个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
{0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1};
{0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};
{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};
{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};
{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};
{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};
{0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};
{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};
{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
和,下述95个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好:
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。
一种可能的示例中,当第一序列集合中的序列长度为120,即N=120时,第一序列集合中的序列包括:截取经由两个预设的127长m序列模2加生成一个127Glod序列中的120个元素得到的序列中的部分或全部;
其中,两个预设的127长m序列的生成多项式包括:{x7+x3+1和x7+x+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括:
{1,0,0,1,0,0,1};{1,0,0,1,0,1,0};{0,0,1,0,0,1,1};{1,0,0,1,1,1,1};{1,1,0,0,1,0,0};{1,1,1,0,1,1,1};{0,1,0,0,0,0,0};{1,0,1,0,1,0,0};{0,1,1,0,0,1,0};{1,1,0,1,0,0,0};{1,0,1,0,0,0,0};{0,0,0,1,0,0,1};{1,0,0,0,1,0,0};{0,0,0,0,0,0,1};{1,1,0,0,0,1,1};{1,0,0,1,0,0,0};{0,1,1,1,1,1,1};{0,1,0,0,1,0,0};{0,0,1,0,1,0,1};{1,1,0,0,1,1,1};{0,0,1,0,1,1,1};{1,0,1,1,0,0,1};{1,0,0,0,1,0,1};{0,0,0,1,0,0,0};{1,1,0,1,0,1,1};{0,1,1,1,0,1,1};{1,0,0,1,1,0,0};{1,1,1,0,0,0,1};{0,0,0,1,0,1,0};{1,1,1,0,0,0,0};或者,
两个预设的127长m序列的生成多项式包括:{x7+x3+1和x7+x6+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括:
{1,0,0,1,0,0,1};{0,0,1,1,1,1,0};{0,0,0,1,1,1,0};{0,1,1,0,0,1,0};{1,1,0,1,1,1,1};{1,1,0,0,1,0,1};{1,0,0,1,1,0,1};{0,0,0,0,1,0,0};{1,0,1,0,1,1,0};{1,0,1,1,0,0,1};{1,1,0,0,0,0,0};{1,0,1,0,0,0,0};{0,0,0,0,0,0,1};{1,0,0,1,1,0,0};{1,1,1,0,0,1,0};{0,1,1,1,0,1,0};{0,0,1,1,0,1,1};{1,1,1,1,0,0,0};{0,0,1,1,0,0,0};{1,1,1,1,0,0,1};{0,0,0,1,0,1,0};{0,1,0,0,1,1,1};{1,1,1,1,1,0,0};{1,1,1,0,0,0,0};{0,0,1,1,1,0,0};{1,0,1,1,1,1,0};{0,0,1,1,1,1,1};{1,1,0,0,1,1,1};{1,1,0,1,0,0,0};{0,0,0,0,0,1,0};或者,
两个预设的127长m序列的生成多项式包括:{x7+x+1和x7+x4+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括:
{0,0,0,1,0,1,0};{1,1,0,0,0,0,0};{0,1,0,1,0,1,0};{1,1,0,0,1,0,0};{1,0,1,1,0,1,0};{0,0,1,1,0,1,0};{1,1,1,1,0,0,0};{1,0,1,0,0,0,0};{0,1,0,0,0,1,1};{1,0,0,1,0,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,1};{0,0,1,1,1,1,0};{0,0,1,1,1,0,0};{0,1,1,0,0,1,0};{0,1,0,1,0,1,1};{0,1,1,1,0,0,0};{0,1,0,1,1,1,1};{1,0,1,0,1,1,0};{1,0,0,1,1,1,0};{1,1,1,1,0,1,0};{0,0,1,1,0,0,0};{1,1,1,1,1,0,1};{1,0,0,0,0,0,0};{0,0,1,1,1,1,1};{1,0,1,1,0,1,1};{0,1,1,1,1,0,0};{1,1,0,1,1,0,0};{0,1,1,0,1,0,1};{0,1,0,1,1,1,0};或者,
两个预设的127长m序列的生成多项式包括:{x7+x6+1和x7+x4+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括:
{1,0,0,1,0,1,1};{0,0,1,1,1,1,1};{0,0,1,0,1,1,1};{1,1,1,0,0,1,1};{1,0,1,1,1,1,0};{0,1,1,0,0,1,0};{1,1,0,0,0,1,1};{1,1,1,0,0,1,0};{0,1,1,0,1,0,1};{1,1,0,1,1,1,1};{1,0,0,1,0,0,0};{1,1,0,1,0,0,1};{1,1,0,1,1,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,0};{0,1,1,1,1,1,1};{0,1,1,1,1,1,0};{0,1,1,1,1,0,1};{1,1,0,1,0,1,0};{0,1,0,0,1,0,1};{0,0,0,1,0,1,0};{1,1,0,1,0,0,0};{0,0,0,0,1,1,0};{1,0,1,1,0,0,0};{0,1,0,0,1,1,0};{1,1,1,0,0,0,0};{0,0,0,0,1,0,0};{0,0,0,1,1,0,0};{0,1,0,1,0,1,0};{1,0,0,0,0,1,1}。
上述所有m序列的生成多项式为本原多项式中项数较少的多项式。
一种可能的示例中,当第三序列集合中的序列长度为18,即N=18时,第三序列集合中的序列集合14中的部分或全部,该序列集合14中的序列包括下述108个序列,这些序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB。同时满足{xn}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,即所对应的序列{xn}的频域平坦度比较好:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。
一种可能的示例中,当第五序列集合中的序列长度为12,即N=12时,第五序列集合中的序列集合15中的部分或全部,该序列集合15中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB。同时满足{xn}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,且互相关性小于0.85,即所对应的序列{xn}的频域平坦度比较好:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1}。
一种可能的示例中,当第五序列集合中的序列长度为18,即N=18时,第五序列集合中的序列集合16中的部分或全部,该序列集合16中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB。同时满足{xn}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,且互相关系数小于0.672,即所对应的序列{xn}的频域平坦度比较好:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0}。
一种可能的示例中,当第五序列集合中的序列长度为24,即N=24时,第五序列集合中的序列集合17中的部分或全部,该序列集合17中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,且互相关系数小于0.6,即所对应的序列{xn}的频域平坦度比较好:{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。
一种可能的示例中,终端设备在入网后,确定包含N个元素的序列{xn}的过程可以如图2所示。具体流程为:
终端设备确定序列{bn}和A。n的取值为0到N-1。A为非零复数。序列{bn}可以是该终端设备存储的,也可以是由网络设备配置给该终端设备的,也可以是该终端设备根据预定义的公式计算得到的。
S102:生成第一信号并发送给网络设备。
可选的,生成第一信号的过程,如图3所示,在具体实现中为:首先,终端设备对序列{xn}中的N个元素进行离散傅里叶变换(discrete fourier transform,DFT)处理,得到序列{fn}。这里主要指终端设备使用配置的序列{xn}中的N个元素进行DFT处理,得到频域序列,这里的频域序列指序列{fn}。然后,终端设备将序列{fn}映射至N个子载波上,生成第一信号并发送给网络设备。
可选的,终端设备对包含N个元素的序列{xn}进行DFT处理得到频域序列,然后,将频域序列分别映射至N个子载波上,生成第一信号并发送给网络设备的具体过程,如图3所示,包括:
S301,终端设备对包含N个元素的序列{xn}进行DFT处理,得到序列{fn}。
S301的执行,可选的,如图4a所示,终端设备对序列{xn}进行DFT处理得到序列{fn}的过程中,可以不使用滤波器。可选的,如图4b所示,终端设备对序列{xn}进行DFT处理得到序列{fn}的过程中,可以在使用滤波器之后,再进行DFT处理得到序列{fn}。可选的,如图4c所示,终端设备对序列{xn}进行DFT处理得到序列{fn}的过程中,可以在进行DFT处理之后,再使用滤波器得到序列{fn}。
S302,终端设备将该序列{fn}分别映射至N个子载波上,得到N点的频域信号。
在具体实现中,N点的频域信号即包含N个元素的频域信号。
在下述本申请实施例公开的图5a和图5b中,s表示序列{fn}映射的N个子载波中的第一个子载波在通信系统中的子载波中的索引。
可选的,终端设备将序列{fn}中的N个元素分别映射至连续的N个子载波上。如图5a所示,可选的,序列{fn}中的元素f0到fN-1分别映射到N个连续的子载波,子载波标号为s+0,s+1,…,s+N-1。
在一种可能的示例中,终端设备将序列{fn}中的N个元素按照子载波从高到低的顺序,依次映射到N个子载波上。其中,一个序列{fn}中元素映射到一个频域子载波。频域子载波是频域资源的最小单元,其用于承载数据信息。
在一种可能的示例中,终端设备将序列{fn}中的N个元素按照子载波从低到高的顺序,依次映射到N个子载波上。将序列{fn}中一个元素映射到一个子载波就是在这个子载波上承载这个元素。映射之后,在该终端设备将数据通过射频发送时,相当于在这个子载波上发送这个元素。在通信系统中,不同的终端设备可以占用不同的子载波发送数据。N个子载波在通信系统中所存在的多个子载波中的位置可以是预定义或者网络设备通过信令配置的。
可选地,也可以将序列{fn}中的N个元素分别映射至等间隔的的N个子载波上。如图5b所示,可选的,N个子载波之间的间隔为1,N个子载波在频域上是等间隔分布的。序列{fn}中的元素f0到fN-1映射的子载波的间隔为1个子载波。具体为:分别映射到N个等间隔的子载波,子载波编号为s+0,s+2,…,s+2(N-1)
本申请实施例对于将序列{fn}中的N个元素分别映射至N个子载波上的方式,并不仅限于以上方式。
S303,终端设备对包含N个元素的频域信号进行快速傅立叶反变换(inverse fastFourier transformation,IFFT),得到对应的时域信号,并为该时域信号添加循环前缀,生成第一信号。
S304,终端设备通过射频发送该第一信号。
可选的,在执行S303时,终端设备将生成的N点的频域信号通过IFFT后得到的时域信号是一个正交频分复用(orthogonal frequency division multiplexing,OFDM)符号。在执行S303时,终端设备将第一信号通过射频发出去。也就是说,该终端设备在该N个子载波上发送承载序列{fn}的第一信号。
在一个可能的示例中,该终端设备可以在一个OFDM符号上发送承载序列{fn}的第一信号。也可以在在多个OFDM符号上发送承载序列{fn}的第一信号。
需要说明的是,在本申请实施例中,针对生成第一信号的方式并不仅限于上述终端设备对包含N个元素的序列{xn}进行DFT处理得到频域序列,然后,将频域序列分别映射至N个子载波上,生成第一信号并发送给网络设备的实现方式。
可选的,该可以对所述序列{xn}使用成型滤波器得到序列{yn},然后,将序列{yn}调制到载波上,生成第一信号并发送给网络设备。
可选的,该第一信号为参考信号。具体的,该第一信号可以为UCI、DMRS、SRS以及PTRS。还可以为确认应答(acknowledgment,ACK)信息,或否定确认应答(negativeacknowledgment,NACK)信息,或者上行调度请求(scheduling request,SR)信息。本申请实施例对于该第一信号并不仅限于包括上述信息。
可选的,该第一信号为用于承载通信信息的信号。在具体实现中,该通信信息的承载方式可以是通过序列选择的方式承载,也可以是通过序列调制的方式承载,但不限于此。
可选的,序列选择的方式为:为一个终端设备分配2n个正交的序列。这2n个正交的序列,可选的,可以为1个根序列的2n个循环移位,这2n个正交的序列能够承载n比特信息。例如,标号为0、1、2和3的4个序列。其中,00对应序列0,01对应序列1,10对应序列{2},11对应序列3,这样4个序列能够承载2比特信息。
可选的,序列调制的方式为:为一个用户分配1个序列,并且将该用户所需传输的信息生成调制符号。该调制符号包括但不限于BPSK符号,QPSK符号,8QAM符号,16QAM符号等。将该调制符号与该序列相乘,生成实际的发送序列。例如,一个BPSK符合可能为1或者-1,对于一个序列{xn}而言,基于BPSK符号进行调制后,发送的序列就可以为{xn}或{-xn}。
在一种可能的示例中,如图2对应说明书中的记载,终端设备在入网后,可以通过A和序列{bn}确定网络设备配置的包含N个元素的序列{xn}。
需要说明的是,对于序列调制的方式,是通过序列{xn}中不同的A的取值,承载不同信息的。
可选的,A可以为调制符号。此时,一路数据信息比特或者控制信息比特经过调制后,得到A。A承载在序列{xn}所包含的N个元素上,A不随着n的变化而改变。
可选的,A为常数。例如A=1。例如,A可以是终端设备和网络设备都已知的符号。A也可以表示是幅度。
需要说明的是,A是在一个发射时间单元上是常数不代表A是固定不变的,在不同的时刻发送第一信号时,A可以是变的。例如,序列{xn}中包含的全部N个元素是参考信号,A是参考信号的幅度,终端设备在第一次发送第一信号时,可以按A=1发送。终端设备在第二次发送第一信号时,可以按A=2发送。
S103:网络设备接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素。
S103的执行,该网络设备按照预定义或者基站配置的N个子载波在通信系统的子载波中的位置接收N个子载波上的信号。
可选的,网络设备在连续的N个子载波上获取N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号。
可选的,获取序列{xn}中的N个元素的方式为,网络设备获取序列{fn}中的N个元素,对该序列{fn}进行离散傅里叶反变换处理(inverse discrete fouriertransformation,IDFT),得到序列{xn}中的N个元素。
由S102对应的说明书中记载可知,该第一信号由终端设备对序列{xn}中的N个元素进行DFT处理,得到序列{fn},然后,再将该序列{fn}映射至N个子载波上生成。该序列{xn}的具体说明可以参见上述S101和S102中相应的说明,这里不再进行赘述。
S103的执行,在一种可能的设计中,首先,网络设备在连续的N个子载波上获取N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号。然后,去除第一信号的循环前缀,得到时域信号。然后对时域信号进行M点的DFT,得到包含N个元素的频域信号,该M大于等于N。然后,基于包含N个元素的频域信号,确定序列{fn}中的N个元素。
在具体实现中,终端设备在入网后,使用配置的序列{xn}发送PUSCH,而网络设备使用配置给终端设备的序列{xn}接收PUSCH。
S104:网络设备根据序列{xn}中的N个元素对第一信号进行处理。
可选的,网络设备对第一信号的处理过程示意图,如图6所示,网络设备根据遍历本地存储的序列{x'n}得到所有可能的序列。将获取的序列{xn}与序列{x'n}所有可能的序列分别相关处理并进行最大似然比较,获取终端设备传输的数据。
结合上述S102对应说明书的说明,对于两比特信息的取值组合为{(0,0),(0,1),(1,0),(1,1)}。结合图2,当两比特信息为(0,0)时,得到的序列{x′n}是序列{x′1,,n},当两比特信息为(0,1)时,得到的序列{x′n}是序列{x′2,n},当两比特信息为(1,0)时,得到的序列{x′n}是序列{x′3,n},当两比特信息为(1,1)时,得到的序列{x′n}是序列{x′4,n}。所述4个序列{x′1,,n},{x′2,n},{x′3,n},{x′4,n}可以是同一个序列的循环移位序列,将序列{xn}与{x′1,,n},{x′2,n},{x′3,n},{x′4,n}分别相关,得到4个相关值。在最大相关值对应的两比特信息的取值即为网络设备获取的数据。例如,最大相关值是序列{xn}与{x′1,,n}相关得到的,则两比特信息是(0,0)。
本申请实施例所公开的一种基于序列的信号处理方法,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{xn},xn为所述序列{xn}中的元素,确定的序列{xn}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
更进一步的,基于上述本申请实施例公开的基于序列的信号处理方法,S101中确定的包括N个元素的序列{xn}所涉及的序列{sn},该由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的第一序列或所述第一序列的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列。也就是说,该由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的序列和第二序列集合中的序列的等价序列之中的两个不等价的序列,即,该由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的两个序列,或者,该由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的一个序列,以及第二序列集合中的另一个序列的一个等价序列,或者,该由元素sn组成的序列{sn}构成的集合至少包括第二序列集合中的一个序列的一个等价序列,以及第二序列集合中的另一个序列的一个等价序列。这里,在第一序列集合中的序列和第二序列集合有部分重叠的情况下,第一序列和第二序列可以有一个是第一序列集合中的序列,也可以均不是第一序列集合中的序列。
在另一种可能的实施例中,当N=18时,S101中该由元素sn组成的序列{sn}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列。也就是说,该由元素sn组成的序列{sn}构成的集合至少包括第四序列集合中的两个序列。
需要说明的是,第二序列集合中序列个数为至少2个,也可以包含2个以上的序列。
当N=12时,所述第二序列集合为序列集合4或序列集合5;和/或,当N=24时,所述第二序列集合为序列集合6或序列集合7或序列集合8或序列集合9;和/或,当N=36时,所述第二序列集合为序列集合10或序列集合11或序列集合12或序列集合13。
该序列集合4包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.05dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.52dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,同时这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}间的互相关系数小于0.85:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1}。
该序列集合5包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,同时所述序列对应的序列{xn}间的互相关系数小于0.84:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1}。
该序列集合6包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.66:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0}。
该序列集合7中的序列包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.6:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1}。
该序列集合11中的序列包括如下62个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.69:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0}。
该序列集合9中的序列包括如下56个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.49dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.67:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1}。
该序列集合10中的序列包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.57:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1}。
该序列集合11中的序列包括以下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.557:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1}。
该序列集合12中的序列包括如下59个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.7:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,00,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,01,0,1,1};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,00,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,10,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,11,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,11,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,00,0,1,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,01,0,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,00,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,10,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,11,1,0,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,11,1,1,1};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,11,1,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,01,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,10,0,0,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,11,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,00,0,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,00,1,1,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,01,1,1,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,1,0};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,11,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,01,1,0,0};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,10,1,0,1};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,00,0,0,0};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,11,0,0,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,11,1,0,1};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,01,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,10,1,1,0}。
该序列集合13中的序列包括以下60个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{xn}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{xn}的频域平坦度比较好,同时所述序列对应的序列{xn}间的互相关系数小于0.65:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,00,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,01,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,11,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,01,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,00,1,1,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,10,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,10,1,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,11,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,10,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,00,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,01,1,1,0};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,11,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,11,0,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,10,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,01,1,1,1};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,11,0,1,0};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,11,0,0,1};
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,10,1,1,1};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,01,1,0,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,11,0,0,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,01,1,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,11,0,0,0};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,00,1,1,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,10,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,11,1,0,1}。
和/或,当N=18时,所述第四序列集合为序列集合18;
该序列集合18包括如下30个序列中的部分或全部,这些序列经π/2BPSK调制后对应的序列{xn}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB,同时满足{xn}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,同时这些序列经π/2BPSK调制后对应的序列{xn}间的互相关系数小于0.672:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0};
{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};
{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};
{1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1};
{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0};
{1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0}。
一般来说,PAPR比较低的序列,CM值也比较小。上述序列经过验证CM值都很小。
基于上述本申请实施例公开的基于序列的信号处理方法,上述涉及的各个序列集合的中的序列{sn}的等价序列可以用{qn}表示。该等价序列{qn}中的元素qn满足:qn=s(n+M)modN。M∈{0,1,2,...,N-1}。N为序列长度。
这里序列{sn}的一个等价序列为{qn},则序列{u·(1-2·sn)}和序列{u·(1-2·qn)}之间的差别是一个常数,或者一个常数和一个循环移位变换。判定一个时域序列的频域是否平坦可通过如图7a或图7b所示的流程进行处理,根据图7a中所示,上述涉及的一个时域序列{xn}对应的频域序列的第一种最大归一化功率定义为序列归一化后的最大值,一个时域序列{xn}对应的频域序列的第一种最小归一化功率定义为序列归一化后的最小值。根据图7b中所示,上述涉及的一个时域序列{xn}对应的频域序列的第二种最大归一化功率定义为序列归一化后的最大值,一个时域序列{xn}对应的频域序列的第二种最小归一化功率定义为序列归一化后的最小值。
本申请实施例所公开的一种基于序列的信号处理方法,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{xn},xn为所述序列{xn}中的元素,确定的序列{xn}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。
基于上述本申请实施例公开的基于序列的信号处理方法,本申请实施例还公开了基于序列的信号处理装置和通信系统。
如图8所示,为本申请实施例公开的基于序列的信号处理装置800的结构示意图。信号处理装置800可以是通信设备,也可以是通信设备内的芯片。信号处理装置800包括处理单元801和收发单元802。
处理单元801,用于确定包括N个元素的序列{xn},N为大于1的正整数,xn为序列{xn}中的元素,该序列{xn}为满足预设条件的序列。
在处理单元801中涉及的预设条件,可以参见上述本申请实施例公开的基于序列的信号处理方法中公开的预设条件,两者一致,这里不再进行赘述。
处理单元801,还用于对序列{xn}中的N个元素进行DFT处理,得到序列{fn};将序列{fn}映射至N个子载波上,生成第一信号。
收发单元802,用于发送该第一信号。
以上本申请实施例公开的信号处理装置800中的所涉及的相应操作,可以参照上述本申请实施例公开的基于序列的信号处理方法中执行的相应操作,这里不再进行赘述。
结合本申请实施例公开的基于序列的信号处理方法,本申请实施例所公开的信号处理装置也可以直接用硬件、处理器执行的存储器,或者二者的结合来实施。
如图9所示,信号处理装置900包括:处理器901和收发器903。可选地,信号处理装置900还包括存储器902。
处理器901通过总线与存储器902耦合。处理器901通过总线与收发器903耦合。
处理器901具体可以是中央处理器(central processing unit,CPU)、网络处理器(network processor,NP)、专用集成电路(application-specific integrated circuit,ASIC)或者可编程逻辑器件(programmable logic device,PLD)。上述PLD可以是复杂可编程逻辑器件(complex programmable logic device,CPLD)、现场可编程逻辑门阵列(field-programmable gate array,FPGA)或者通用阵列逻辑(generic array logic,GAL)。
存储器802具体可以是内容寻址存储器(content-addressable memory,CAM)或者随机存取存储器(random-access memory,RAM)。CAM可以是三态内容寻址存储器(ternarycam,TCAM)。
当信号处理装置900是通信设备时,收发器903可以是射频电路。当信号处理装置900为终端设备内的芯片时,收发器903可以是芯片上的输入/输出接口、管脚或电路等。
存储器902也可以集成在处理器901中。如果存储器902和处理器901是相互独立的器件,存储器902和处理器901相连,例如存储器902和处理器901可以通过总线通信。收发器903和处理器901可以通过总线通信,收发器903也可以与处理器901直接连接。
存储器902,用于存储基于序列的信号处理的操作程序、代码或指令。可选的,该存储器902包括操作系统和应用程序,用于存储基于序列的信号处理的操作程序、代码或指令。
当处理器901或硬件设备要进行基于序列的信号处理的相关操作时,调用并执行存储器902中存储的操作程序、代码或指令可以完成图1-图6中涉及的终端设备执行基于序列的信号处理的过程。具体过程可参见上述本申请实施例相应的部分,这里不再赘述。
可以理解的是,图9仅仅示出了信号处理装置900的简化设计。在实际应用中,信号处理装置900可以包含任意数量的收发器、处理器、存储器等,而所有可以实现本申请实施例的信号处理装置900都在本申请实施例的保护范围之内。
如图10所示,为本申请实施例公开的基于序列的信号处理装置1000的结构示意图。信号处理装置1000可以是通信设备,也可以是通信设备内的芯片。信号处理装置1000包括收发单元1001和处理单元1002。
收发单元1001,用于接收承载在N个子载波上的第一信号。
处理单元1002,用于获取序列{fn}中的N个元素,对所述序列{fn}进行IDFT处理,得到序列{xn}中的N个元素,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列。
在处理单元1002中涉及的预设条件,可以参见上述本申请实施例公开的基于序列的信号处理方法中公开的预设条件,两者一致,这里不再进行赘述。
处理单元1002,还用于根据序列{xn}中的N个元素对第一信号进行处理。
以上本申请实施例公开的信号处理装置1000中的所涉及的相应操作,可以参照上述本申请实施例公开的基于序列的信号处理方法中执行的相应操作,这里不再进行赘述。
结合本申请实施例公开的基于序列的信号处理方法,本申请实施例所公开的信号处理装置也可以直接用硬件、处理器执行的存储器,或者二者的结合来实施。
如图11所示,该信号处理装置1100包括:处理器1101和收发器1103。可选的,该信号处理装置1100还包括存储器1102。
该处理器1101通过总线与存储器1102耦合。处理器1101通过总线与该收发器1103耦合。
处理器1101具体可以是CPU、NP、ASIC或者PLD。上述PLD可以是CPLD、FPGA或者GAL。
存储器1102具体可以是CAM或RAM。CAM可以是TCAM。
当信号处理装置1100是通信设备时,收发器1103可以是射频电路。当信号处理装置1100为终端设备内的芯片时,收发器1103可以是芯片上的输入/输出接口、管脚或电路等。
存储器1102也可以集成在处理器1101中。如果存储器1102和处理器1101是相互独立的器件,存储器1102和处理器1101相连,例如存储器1102和处理器1101可以通过总线通信。收发器1103和处理器1101可以通过总线通信,收发器1103也可以与处理器1101直接连接。
存储器1102,用于存储基于序列的信号处理的操作程序、代码或指令。可选的,该存储器1102包括操作系统和应用程序,用于存储基于序列的信号处理的操作程序、代码或指令。
当处理器1101或硬件设备要进行基于序列的信号处理的相关操作时,调用并执行存储器1102中存储的操作程序、代码或指令可以完成图1-图7中涉及的网络设备执行基于序列的信号处理的过程。具体过程可参见上述本申请实施例相应的部分,这里不再赘述。
可以理解的是,图11仅仅示出了该信号处理装置1100的简化设计。在实际应用中,信号处理装置1100可以包含任意数量的接口,处理器,存储器等,而所有可以实现本申请实施例的信号处理装置1100都在本申请实施例的保护范围之内。
图12为本申请实施例公开的一种通信系统1200,包括第一通信设备1201和第二通信设备1202。其中,第一通信设备1201是发送侧的设备,第二通信设备1202是终端侧的设备。
第一通信设备1201,用于确定包括N个元素的序列{xn},并对序列{xn}中的N个元素进行DFT获得序列{fn},然后将序列{fn}映射至N个子载波上,生成第一信号并发送给第二通信设备1202。
第二通信设备1202,用于接收第一通信设备1201发送的N个子载波上的第一信号,获取序列{fn}中的N个元素,对所述序列{fn}进行IDFT处理,得到序列{xn}中的N个元素,并根据序列{xn}中的N个元素对第一信号进行处理。
以上本申请实施例公开的通信系统中,第一通信设备1201和第二通信设备1202的个数并不进行限定。该第一通信设备1201可以具体为图9和图10中公开的通信设备。可选的,可以用于执行本申请实施例图1至图7中涉及终端设备执行的相应操作。第二通信设备1102可以具体为图10和图11中公开的通信设备。可选的,可以用于执行本申请实施例图1至图7中涉及网络设备执行的相应操作。具体过程以及执行原理可以参照上述说明,这里不再进行赘述。
本领域技术人员应该可以意识到,在上述一个或多个示例中,本申请所描述的功能可以用硬件、软件、固件或它们的任意组合来实现。当使用软件实现时,可以将这些功能存储在计算机可读介质中或者作为计算机可读介质中的一个或多个指令或代码进行传输。计算机可读介质包括计算机存储介质和通信介质,其中,通信介质包括便于从一个地方向另一个地方传送计算机程序的任何介质。存储介质可以是通用或专用计算机能够存取的任何可用介质。
本说明书的各个部分均采用递进的方式进行描述,各个实施例之间相同相似的部分互相参见即可,每个实施例重点介绍的都是与其他实施例不同之处。尤其,对于装置和系统实施例而言,由于其基本相似于方法实施例,所以描述的比较简单,相关之处参见方法实施例部分的说明即可。
最后应说明的是:以上实施例仅用以示例性说明本申请的技术方案,而非对其限制;尽管参照前述实施例对本申请及本申请带来的有益效果进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本申请权利要求的范围。

Claims (23)

1.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
生成第一信号并发送;
其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};
{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,
当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,
当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
{0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1};
{0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};
{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};
{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};
{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};
{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};
{0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};
{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};
{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。
2.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;
生成第一信号并发送;
其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。
3.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jnmod2,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第五序列集合中的序列之一;
生成第一信号并发送;
其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};和/或,
其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};和/或,
其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:
{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};
{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。
4.根据权利要求1-3中任一项所述的信号处理方法,其特征在于,所述生成第一信号并发送,包括:
对所述序列{xn}中的N个元素进行离散傅里叶变换处理,得到序列{fn};
将所述序列{fn}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{fn}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号;
生成第一信号;
通过射频发送所述第一信号。
5.根据权利要求1-4中任一项所述的信号处理方法,其特征在于,还包括:
在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之前,对所述序列{xn}进行滤波;或者,
在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之后,对所述序列{xn}进行滤波。
6.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};
{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,
当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,
当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
{0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1};
{0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};
{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};
{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};
{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};
{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};
{0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};
{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};
{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。
7.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;
根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。
8.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:
接收承载在N个子载波上的第一信号,获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jnmod2,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第五序列集合中的序列之一;
根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};和/或,
其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};和/或,
其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:
{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};
{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。
9.根据权利要求6-8中任一项所述的信号处理方法,其特征在于,所述接收承载在N个子载波上的第一信号,获取序列序列{xn}中的N个元素,包括:
在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;
获取序列{fn}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{fn}映射至N个子载波上生成,fn为所述序列{fn}中的元素;
对所述序列{fn}进行离散傅里叶反变换处理,获取序列{xn}中的N个元素。
10.一种基于序列的信号处理装置,其特征在于,包括:
处理单元,用于确定包括N个元素的序列{xn},生成第一信号,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};
{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,
当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,
当N=36时,所述所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
{0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1};
{0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};
{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};
{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};
{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};
{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};
{0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};
{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};
{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0};
收发单元,用于发送所述第一信号。
11.一种基于序列的信号处理装置,其特征在于,包括:
处理单元,用于确定包括N个元素的序列{xn},生成第一信号,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,…,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;
收发单元,用于发送所述第一信号;
其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。
12.一种基于序列的信号处理装置,其特征在于,包括:
处理单元,用于确定包括N个元素的序列{xn},生成第一信号,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jnmod2,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第五序列集合中的序列之一;
收发单元,用于发送所述第一信号;
其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};和/或,
其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};和/或,
其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:
{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};
{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。
13.根据权利要求10-12中任一项所述的信号处理装置,其特征在于,所述处理单元还用于:对所述序列{xn}中的N个元素进行离散傅里叶变换处理,得到序列{fn};将所述序列{fn}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{fn}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号;生成第一信号;
所述收发单元还用于:通过射频发送所述第一信号。
14.根据权利要求10-13中任一项所述的信号处理装置,其特征在于,所述处理单元还用于:
在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之前,对所述序列{xn}中的N个元素进行滤波;或者,在所述对所述序列{xn}中的N个元素进行离散傅里叶变换处理之后,对所述序列{xn}中的N个元素进行滤波。
15.一种基于序列的信号处理装置,其特征在于,包括:
收发单元,用于接收承载在N个子载波上的第一信号;
处理单元,用于获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};
{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,
当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,
当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};
{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
{0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1};
{0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1};
{0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1};
{0,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};
{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};
{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};
{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};
{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};
{0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};
{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};
{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。
16.一种基于序列的信号处理装置,其特征在于,包括:
收发单元,用于接收承载在N个子载波上的第一信号;
处理单元,用于获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jn,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第三序列集合中的序列之一;根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。
17.一种基于序列的信号处理装置,其特征在于,包括:
收发单元,用于接收承载在N个子载波上的第一信号;
处理单元,用于获取序列{xn}中的N个元素,N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=y(n+M)modN,其中,M∈{0,1,2,...,N-1},yn=A·bn·jnmod2,n的取值为0至N-1,A为非零复数,元素bn=u·(1-2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第五序列集合中的序列之一;根据所述序列{xn}中的N个元素对所述第一信号进行处理;
其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};和/或,
其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};和/或,
其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:
{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};
{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};
{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。
18.根据权利要求15-17中任一项所述的信号处理装置,其特征在于,所述收发单元,还用于在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;
所述处理单元,还用于获取序列{fn}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{fn}映射至N个子载波上生成,fn为所述序列{fn}中的元素;对所述序列{fn}进行离散傅里叶反变换处理,获取序列{xn}中的N个元素。
19.根据权利要求1-9中任一项所述的信号处理方法或者根据权利要求10-18中任一项所述的信号处理装置,其特征在于,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。
20.根据权利要求1、4-6、9、19中任一项所述的信号处理方法或者根据权利要求6-11中任一项所述的信号处理装置,其特征在于,还包括:由元素sn组成的序列{sn}的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列;
其中,当N=12时,所述第二序列集合为序列集合4或序列集合5;和/或,当N=24时,所述第二序列集合为序列集合6或序列集合7或序列集合8或序列集合9;和/或,当N=36时,所述第二序列集合为序列集合10或序列集合11或序列集合12或序列集合13;
所述序列集合4中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};
所述序列集合5中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};
所述序列集合6中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
所述序列集合7中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
所述序列集合8中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
所述序列集合9中的序列包括以下序列中的部分或全部:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
所述序列集合10中的序列包括以下序列中的部分或全部:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};
所述序列集合11中的序列包括以下序列中的部分或全部:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};
所述序列集合12中的序列包括以下序列中的部分或全部:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,00,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,01,0,1,1};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,00,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,10,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,11,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,11,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,00,0,1,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,01,0,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,00,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,10,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,11,1,0,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,11,1,1,1};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,11,1,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,01,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,10,0,0,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,11,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,00,0,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,00,1,1,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,01,1,1,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,1,0};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,11,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,01,1,0,0};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,10,1,0,1};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,00,0,0,0};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,11,0,0,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,11,1,0,1};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,01,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,10,1,1,0};
所述序列集合13中的序列包括以下序列中的部分或全部:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,00,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,01,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,11,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,01,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,00,1,1,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,10,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,10,1,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,11,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,10,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,00,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,01,1,1,0};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,11,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,11,0,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,10,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,01,1,1,1};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,11,0,1,0};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,11,0,0,1};
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,10,1,1,1};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,01,1,0,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,11,0,0,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,01,1,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,11,0,0,0};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,00,1,1,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,10,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,11,1,0,1}。
21.根据权利要求2、4-5、7-9、19中任一项所述的信号处理方法或者根据权利要求11、13-14、16、18-19中任一项所述的信号处理装置,其特征在于,还包括:由元素sn组成的序列{sn}的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列;
其中,当N=18时,所述第四序列集合为序列集合18;
所述序列集合18中的序列包括以下序列中的部分或全部:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0};
{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};
{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};
{1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1};
{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0};
{1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0}。
22.根据权利要求1、4-6、9、19-20中任一项所述的信号处理方法或者根据权利要求10、13-15、18-20中任一项所述的信号处理装置,其特征在于,所述等价序列为{qn},所述等价序列{qn}中的元素qn满足qn=s(n+M)modN,M∈{0,1,2,…,N-1},N为序列长度。
23.一种计算机可读存储介质,用于存储计算机程序,其特征在于,所述计算机程序用于执行权利要求1-9、19-22中任一项所述的信号处理方法的指令。
CN201811303070.9A 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置 Active CN109802820B (zh)

Priority Applications (14)

Application Number Priority Date Filing Date Title
CN202011569373.2A CN112532368B (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN202311467510.5A CN117692118A (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
BR112020009824-8A BR112020009824A2 (pt) 2017-11-16 2018-11-16 método de processamento de sinal baseado em sequência e aparelho de processamento de sinal
EP18879785.6A EP3713177B1 (en) 2017-11-16 2018-11-16 Sequence-based signal processing method and signal processing apparatus
JP2020526895A JP7221958B2 (ja) 2017-11-16 2018-11-16 シーケンスを基にした信号処理方法および信号処理装置
CN201880074425.3A CN111727591B (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN202210038358.8A CN114422096A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
EP22154713.6A EP4099653B1 (en) 2017-11-16 2018-11-16 Sequence-based signal processing method and signal processing apparatus
PCT/CN2018/116011 WO2019096268A1 (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN202210038693.8A CN114422097A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
US16/874,039 US11177992B2 (en) 2017-11-16 2020-05-14 Sequence-based signal processing method and signal processing apparatus
US17/484,833 US11606238B2 (en) 2017-11-16 2021-09-24 Sequence-based signal processing method and signal processing apparatus
JP2022172579A JP7436605B2 (ja) 2017-11-16 2022-10-27 シーケンスを基にした信号処理方法および信号処理装置
US18/112,220 US20230275795A1 (en) 2017-11-16 2023-02-21 Sequence-Based Signal Processing Method and Signal Processing Apparatus

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN2017111408319 2017-11-16
CN201711140831 2017-11-16

Related Child Applications (2)

Application Number Title Priority Date Filing Date
CN202311467510.5A Division CN117692118A (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN202011569373.2A Division CN112532368B (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置

Publications (2)

Publication Number Publication Date
CN109802820A true CN109802820A (zh) 2019-05-24
CN109802820B CN109802820B (zh) 2023-11-10

Family

ID=66556268

Family Applications (6)

Application Number Title Priority Date Filing Date
CN202011569373.2A Active CN112532368B (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN201811303070.9A Active CN109802820B (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN202311467510.5A Pending CN117692118A (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN202210038358.8A Pending CN114422096A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN201880074425.3A Active CN111727591B (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN202210038693.8A Pending CN114422097A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置

Family Applications Before (1)

Application Number Title Priority Date Filing Date
CN202011569373.2A Active CN112532368B (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置

Family Applications After (4)

Application Number Title Priority Date Filing Date
CN202311467510.5A Pending CN117692118A (zh) 2017-11-16 2018-11-02 基于序列的信号处理方法及信号处理装置
CN202210038358.8A Pending CN114422096A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN201880074425.3A Active CN111727591B (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置
CN202210038693.8A Pending CN114422097A (zh) 2017-11-16 2018-11-16 基于序列的信号处理方法及信号处理装置

Country Status (5)

Country Link
US (3) US11177992B2 (zh)
EP (2) EP4099653B1 (zh)
JP (2) JP7221958B2 (zh)
CN (6) CN112532368B (zh)
BR (1) BR112020009824A2 (zh)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112600785A (zh) * 2019-01-09 2021-04-02 华为技术有限公司 基于序列的信号处理方法与装置

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112532368B (zh) 2017-11-16 2021-08-20 华为技术有限公司 基于序列的信号处理方法及信号处理装置
US11218288B2 (en) * 2019-01-11 2022-01-04 Mediatek Inc. Low PAPR reference signal
US11184952B2 (en) * 2019-04-02 2021-11-23 Intel Corporation Length-six computer generated sequences (CGS) for uplink low peak-to-average power ratio (PAPR) demodulation reference signals (DMRS)
CN111092703A (zh) * 2019-07-26 2020-05-01 中兴通讯股份有限公司 一种信号发送方法、装置、通讯节点及存储介质
CN115706690A (zh) * 2021-08-06 2023-02-17 华为技术有限公司 信号处理方法及装置

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070260772A1 (en) * 2006-03-21 2007-11-08 Samsung Electronics Co., Ltd. Apparatus and method for transmitting/receiving data in a communication system
CN101635980A (zh) * 2009-08-28 2010-01-27 中国科学院上海微系统与信息技术研究所 利用cazac序列降低参考信号papr的装置和方法
CN105282076A (zh) * 2014-06-12 2016-01-27 上海数字电视国家工程研究中心有限公司 前导符号的生成方法及频域ofdm符号的生成方法
CN106160787A (zh) * 2015-04-02 2016-11-23 中兴通讯股份有限公司 一种数据传输方法及装置
WO2017092697A1 (zh) * 2015-12-02 2017-06-08 华为技术有限公司 通信系统中处理通信信号的方法和装置
WO2017133469A1 (en) * 2016-02-05 2017-08-10 Jrd Communication Inc. Uplink peak average power ratio reduction
CN107231690A (zh) * 2016-03-25 2017-10-03 中兴通讯股份有限公司 信息发送方法及装置

Family Cites Families (32)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070004465A1 (en) 2005-06-29 2007-01-04 Aris Papasakellariou Pilot Channel Design for Communication Systems
CN101174857A (zh) * 2006-09-30 2008-05-07 华为技术有限公司 通信系统中序列分配方法、序列处理方法及装置
EP2171897B1 (en) * 2007-06-20 2013-12-04 Nokia Solutions and Networks Oy Low par zero auto-correlation zone sequences for code sequence modulation
KR100940730B1 (ko) * 2007-09-07 2010-02-04 엘지전자 주식회사 무선통신 시스템에서 기준 신호 생성 방법
KR101417084B1 (ko) * 2008-07-02 2014-08-07 엘지전자 주식회사 상향링크 전송을 위한 기준신호 전송 방법
US8644397B2 (en) * 2008-09-23 2014-02-04 Qualcomm Incorporated Efficient multiplexing of reference signal and data in a wireless communication system
CA2755825C (en) * 2009-03-17 2017-04-04 Samsung Electronics Co., Ltd. Uplink transmission power control in multi-carrier communication systems
EP2755346B1 (en) * 2010-01-11 2016-04-20 Electronics and Telecommunications Research Institute Carrier aggregation in wireless communication system
KR101782647B1 (ko) * 2010-01-28 2017-09-28 엘지전자 주식회사 무선 통신 시스템에서 상향링크 제어 정보 인코딩 방법 및 장치
US20130343477A9 (en) * 2011-11-04 2013-12-26 Research In Motion Limited PUSCH Reference Signal Design for High Doppler Frequency
CN103209485A (zh) * 2012-01-16 2013-07-17 普天信息技术研究院有限公司 一种物理上行共享信道的资源分配方法和装置
CN103729530B (zh) * 2012-10-15 2017-05-24 富士通株式会社 对序列进行处理的装置和方法
CN106789817B (zh) * 2015-02-12 2020-06-09 上海数字电视国家工程研究中心有限公司 前导符号的接收方法
US9954633B2 (en) * 2015-06-18 2018-04-24 Nxp Usa, Inc. Apparatus and method of performing a decimation on a signal for pattern detection
US10560301B2 (en) * 2015-10-16 2020-02-11 Intel IP Corporation Apparatuses for DMRS design or processing for guard interval or zero tail DFT spread OFDM systems
EP3371944A1 (en) 2015-11-06 2018-09-12 Telefonaktiebolaget LM Ericsson (PUBL) Processing a constant amplitude sequence for transmission
CN106961408B (zh) * 2016-01-11 2020-04-24 中兴通讯股份有限公司 一种上行信号发送方法和装置
US20170237592A1 (en) * 2016-02-05 2017-08-17 Mediatek Inc. Peak to average power ratio reduction in elaa
CN107295665A (zh) * 2016-03-31 2017-10-24 中兴通讯股份有限公司 一种上行控制信号传输方法及装置、用户终端
CN106789827B (zh) * 2016-08-12 2018-08-24 展讯通信(上海)有限公司 基于单个符号的上行控制信息的传输方法及装置、终端
WO2018100591A1 (en) * 2016-12-02 2018-06-07 Wisig Networks Private Limited A method and a system for transmitting dft-s-ofdm symbols
CN110431903B (zh) * 2017-01-20 2023-05-12 株式会社Ntt都科摩 终端、无线通信方法以及系统
US10855503B2 (en) * 2017-01-20 2020-12-01 Wisig Networks Private Limited System and method for generating spreaded sequence with low peak-to-average power ratio (PAPR) waveform
CN115277337A (zh) * 2017-03-03 2022-11-01 苹果公司 用于同步信号的传输的方法、基站及介质
CN106781827A (zh) 2017-03-14 2017-05-31 长江涪陵航道管理处 船舶驾驶训练系统及方法
CN116566455A (zh) * 2017-03-22 2023-08-08 交互数字专利控股公司 使用离散傅里叶变换扩展正交频分复用(dft-s-ofdm)波形的上行链路控制信道的发射分集的方法和装置
CN106849963B (zh) * 2017-03-28 2023-03-31 中国地质大学(武汉) 三维相干光正交频分复用系统峰均功率比降低方法和装置
BR112020004556A2 (pt) * 2017-09-08 2020-09-08 Ntt Docomo, Inc. terminal, método de radiocomunicação para um terminal e estação base
CN109587092B (zh) * 2017-09-29 2021-12-03 华为技术有限公司 基于序列的信号处理方法及装置
CN112532368B (zh) 2017-11-16 2021-08-20 华为技术有限公司 基于序列的信号处理方法及信号处理装置
CN109802908B (zh) * 2017-11-17 2022-05-24 华为技术有限公司 基于序列的信号处理方法、信号处理装置及计算机可读存储介质
US11233685B2 (en) * 2018-01-12 2022-01-25 Qualcomm Incorporated Orthogonal cover code (OCC) sequences design for uplink transmissions

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070260772A1 (en) * 2006-03-21 2007-11-08 Samsung Electronics Co., Ltd. Apparatus and method for transmitting/receiving data in a communication system
CN101635980A (zh) * 2009-08-28 2010-01-27 中国科学院上海微系统与信息技术研究所 利用cazac序列降低参考信号papr的装置和方法
CN105282076A (zh) * 2014-06-12 2016-01-27 上海数字电视国家工程研究中心有限公司 前导符号的生成方法及频域ofdm符号的生成方法
CN106160787A (zh) * 2015-04-02 2016-11-23 中兴通讯股份有限公司 一种数据传输方法及装置
WO2017092697A1 (zh) * 2015-12-02 2017-06-08 华为技术有限公司 通信系统中处理通信信号的方法和装置
WO2017133469A1 (en) * 2016-02-05 2017-08-10 Jrd Communication Inc. Uplink peak average power ratio reduction
CN107231690A (zh) * 2016-03-25 2017-10-03 中兴通讯股份有限公司 信息发送方法及装置

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
IITH: "R4-1710231 \"On spectrum shaping requirments for Pi/2 BPSK\"", no. 4 *
INTERDIGITAL INC.: "\"R1-1716478 Sequence design for 1-symbol short-PUCCH of up to 2 bits\"" *
QUALCOMM INCORPORATED: "\"R1-1718594 Low PAPR Modulation\"" *
卢光跃;邵朝;马长征;: "降低峰均值比的时域交织分割PTS算法及分析", no. 01 *
胡武君;杨霖;: "MIMO-OFDM系统中基于循环移位和信号联合的改进SLM算法", no. 04 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112600785A (zh) * 2019-01-09 2021-04-02 华为技术有限公司 基于序列的信号处理方法与装置
CN112600785B (zh) * 2019-01-09 2022-04-12 华为技术有限公司 基于序列的信号处理方法与装置

Also Published As

Publication number Publication date
CN112532368B (zh) 2021-08-20
US20200287762A1 (en) 2020-09-10
JP2023010730A (ja) 2023-01-20
JP2021503792A (ja) 2021-02-12
US20220014405A1 (en) 2022-01-13
CN117692118A (zh) 2024-03-12
CN109802820B (zh) 2023-11-10
CN114422096A (zh) 2022-04-29
EP3713177B1 (en) 2022-02-16
EP4099653C0 (en) 2024-02-14
JP7436605B2 (ja) 2024-02-21
CN111727591A (zh) 2020-09-29
CN112532368A (zh) 2021-03-19
US20230275795A1 (en) 2023-08-31
CN111727591B (zh) 2022-01-11
US11606238B2 (en) 2023-03-14
EP4099653A1 (en) 2022-12-07
CN114422097A (zh) 2022-04-29
BR112020009824A2 (pt) 2020-11-03
EP3713177A1 (en) 2020-09-23
JP7221958B2 (ja) 2023-02-14
EP3713177A4 (en) 2021-01-06
US11177992B2 (en) 2021-11-16
EP4099653B1 (en) 2024-02-14

Similar Documents

Publication Publication Date Title
CN109802820A (zh) 基于序列的信号处理方法及信号处理装置
CN109039979B (zh) 基于序列的信号处理方法、通信设备及通信系统
CN109274473B (zh) 基于序列的信号处理方法及装置
CN111431686B (zh) 信号处理的方法和装置
CN109802908A (zh) 基于序列的信号处理方法、信号处理装置及计算机可读存储介质
CN111434054B (zh) 基于序列的信号处理方法及装置
US20210328842A1 (en) Sequence-based signal processing method and apparatus
WO2019096268A1 (zh) 基于序列的信号处理方法及信号处理装置
CN109587092A (zh) 基于序列的信号处理方法及装置

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant