WO2010135946A1 - Method and apparatus for realizing decimal frequency offset estimation - Google Patents

Method and apparatus for realizing decimal frequency offset estimation Download PDF

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Publication number
WO2010135946A1
WO2010135946A1 PCT/CN2010/072436 CN2010072436W WO2010135946A1 WO 2010135946 A1 WO2010135946 A1 WO 2010135946A1 CN 2010072436 W CN2010072436 W CN 2010072436W WO 2010135946 A1 WO2010135946 A1 WO 2010135946A1
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correlation
frequency
module
frequency domain
sequence
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PCT/CN2010/072436
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French (fr)
Chinese (zh)
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邱宁
李强
曹南山
陈力
张涛
游月意
姚扬中
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中兴通讯股份有限公司
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Publication of WO2010135946A1 publication Critical patent/WO2010135946A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/0014Carrier regulation

Definitions

  • the present invention relates to a carrier frequency offset estimation and compensation technique, and more particularly to a method and apparatus for implementing fractional frequency offset estimation based on a terminal device of China Mobile Multimedia Broadcasting (CMMB) technology.
  • CMMB China Mobile Multimedia Broadcasting
  • the CMMB standard uses the mobile TV receiving standard STiMi independently developed by China.
  • the CMMB standard is the first domestically developed system for mobile phones, PDAs, MP3s, MP4s, digital cameras, laptops, and a variety of mobile terminals, using S-band satellite signals. Achieve integrated coverage of the world, national roaming, support 25 sets of TV programs and 30 sets of radio programs.
  • the CMMB standard specifies the frame structure, channel coding and modulation of the broadcast channel transmission signal of the mobile multimedia broadcasting system in the frequency range of the broadcasting service.
  • the CMMB standard is applicable to the broadcasting service frequency in the frequency range of 30 MHz to 3000 MHz, via satellite and/or terrestrial wireless.
  • a national broadcasting system that transmits multimedia signals such as television, radio, and data information can achieve national roaming.
  • OFDM Orthogonal Frequency Division Multiplexing
  • OFDM is a well-known multi-carrier modulation technology. Its main principle is: divide the channel into several orthogonal subchannels, and convert high-speed data into Parallel low-speed sub-data streams are modulated onto each sub-channel for transmission.
  • the orthogonal signals can be separated by using correlation techniques at the receiving end, which can reduce mutual interference between subchannels.
  • the signal bandwidth on each subchannel is smaller than the associated bandwidth of the channel, so each subchannel can be considered as flatness fading, thereby eliminating intersymbol interference. And since each subchannel bandwidth is only a small fraction of the original channel bandwidth, channel equalization becomes relatively easy.
  • OFDM is currently used in several wireless system standards, such as European digital audio and digital video broadcasting systems such as DAB, DVB-T, DVB-H, 5GHz high data rate wireless LAN (IEEE802.11a, HiperLan2, MMAC) systems. Wait.
  • European digital audio and digital video broadcasting systems such as DAB, DVB-T, DVB-H, 5GHz high data rate wireless LAN (IEEE802.11a, HiperLan2, MMAC) systems. Wait.
  • the sub-channels of OFDM have a small bandwidth and are highly sensitive to carrier frequency deviation, very accurate frequency synchronization is required. According to the relationship between the frequency deviation and the subcarrier spacing, it can be divided into a fractional part and an integer part.
  • the integer part only shifts the information signal on the subchannel without destroying the orthogonality between the subcarriers; Subchannel interference, which destroys the orthogonality between subcarriers, causes the BER performance of the system to be seriously degraded. Therefore, the time domain first-order fractional frequency offset estimation and compensation is performed at the receiving end to eliminate the ICI caused by the fractional part, and then the translation in the frequency domain can eliminate the influence of the carrier frequency offset.
  • the fractional frequency offset estimation method is implemented by using the training symbol information based on the time domain correlation method. It generally includes the following steps:
  • the received signals are stored in the preset arrays in the corresponding order / ( «) and / " 2 ( «);
  • the carrier frequency deviation is as shown in formula (6):
  • the existing fractional frequency offset estimation is the maximum likelihood estimation; in addition, in the AWGN channel, Schimdl et al. analyzed the performance of the existing fractional frequency offset estimation and gave The variance of the carrier deviation ⁇ / ⁇ estimate i7 A 2 f oc ⁇ _.
  • phase estimate of the correlation value R f is expected to be the formula (5'):
  • Figure 2 is a schematic diagram showing the simulation results of the influence of single-tone interference on the existing fractional frequency offset estimation.
  • the abscissa represents the signal-to-noise ratio (SNR), and the ordinate represents the estimated standard frequency offset between the estimation result and the true value.
  • SNR signal-to-noise ratio
  • the fractional frequency offset is 1/4 subcarriers and there is 1.25MHz single tone interference, the simulation result of the fractional frequency offset estimation accuracy of the CMMB mobile TV simulation platform.
  • Curve 21 is the simulation result without single tone interference
  • curve 22 is the simulation result obtained by -20dB single tone interference
  • curve 23 is the simulation result obtained by the presence of -10dB tone interference
  • curve 24 is obtained by the presence of OdB tone interference. Simulation results. It is obvious from the simulation curve that when there is no single-tone interference, the estimated standard frequency offset decreases monotonously with the increase of the signal-to-noise ratio.
  • the main object of the present invention is to provide a method for implementing fractional frequency offset estimation, which can greatly reduce the influence of external interference, thereby greatly improving the robustness of fractional frequency offset estimation.
  • Another object of the present invention is to provide an apparatus for implementing fractional frequency offset estimation, which can greatly reduce the influence of external interference, thereby greatly improving the robustness of fractional frequency offset estimation.
  • a method for implementing fractional frequency offset estimation comprising the following steps:
  • the remaining related sequences after the arrangement are accumulated, and the frequency deviation is obtained by using the accumulated values.
  • the transform method is a Fourier FFT transform.
  • the method further includes: arranging the correlation sequences obtained by the frequency domain correlation according to the frequency from small to large;
  • the subsequent related sequence R" (k) is: R" (k)
  • L is a repetition symbol length of the received time domain signal.
  • the correlation sequence of the position is: each of the ten related sequences on both sides of the position of the highest power in the correlation sequence after the corresponding arrangement.
  • N is the number of subcarriers
  • N d is the number of samples
  • R is the accumulated correlation sequence.
  • An apparatus for implementing fractional frequency offset estimation comprising a preprocessing module, a frequency domain correlation module, a sequencing module, an interference deletion module, and a frequency deviation acquisition module, wherein
  • a pre-processing module configured to transform the received time domain signal into a frequency domain signal
  • a frequency domain correlation module configured to receive a frequency signal transformed from the preprocessing module, and perform frequency domain correlation on the frequency domain signal
  • the interference deletion module is configured to calculate and search for a position corresponding to the highest power in the correlation sequence output by the frequency domain correlation module, delete the correlation sequence corresponding to the position and the correlation sequence of the preset position related to the position, and output the remaining correlation sequence Giving a frequency deviation acquisition module;
  • the frequency deviation obtaining module is configured to accumulate the remaining related sequences after the arrangement, and obtain the frequency deviation by using the accumulated value.
  • the apparatus further includes a sorting module disposed between the frequency domain correlation module and the interference deletion module, configured to arrange related sequences output from the frequency domain correlation module according to a frequency from small to large, and sort the related sequences. Output to the interference removal module.
  • the present invention utilizes fractional frequency offset values in frequency.
  • the relationship between the domain and the time domain, the frequency domain correlation is used to replace the time domain correlation, and the power maximum and its related sequence components are deleted from the frequency domain correlation sequence, and only the remaining residual correlation sequences are used to obtain the frequency deviation.
  • the tone interference frequency is usually not equal to the subcarrier frequency
  • the monophonic interference after the frequency domain transformation is decomposed into the nearest frequency point and the adjacent frequency point. Therefore, by removing the component adjacent to the maximum value, the influence of the single-tone interference is better eliminated, thereby greatly improving the robustness of the fractional frequency offset estimation, and eliminating the influence of the single-tone interference and the DC component on the fractional frequency offset estimation performance.
  • 1 is a schematic diagram of two time domain repetition training symbols separated by N d samples
  • FIG. 2 is a schematic diagram of simulation results of influence of single tone interference on existing fractional frequency offset estimation
  • FIG. 3 is a flowchart of a method for implementing fractional frequency offset estimation according to the present invention
  • FIG. 4 is a schematic structural diagram of a device for implementing fractional frequency offset estimation according to the present invention.
  • FIG. 5 is a schematic diagram showing the simulation results of the influence of single tone interference on the fractional frequency offset estimation of the present invention. Detailed ways
  • FIG. 3 is a flowchart of a method for implementing fractional frequency offset estimation according to the present invention. As shown in FIG. 3, the method of the present invention includes the following steps:
  • Step 300 Convert the received time domain signal into a frequency domain signal.
  • Step 301 Perform frequency domain correlation on the frequency domain signal.
  • the frequency domain correlation sequence is obtained as shown in the formula (9) (the * symbol indicates the conjugate operation):
  • the frequency domain transform of the two segments of the same transmission sequence is also the same feature, the phase information of the transmission sequence itself is eliminated, and further, the same transmission characteristics of the same frequency channel are used to eliminate the channel. Phase information.
  • the step 301 may further include arranging the obtained correlation sequence R f (fc) according to the frequency from small to large, and obtaining the aligned correlation sequence (W is represented by the formula (10):
  • the sorting method uses half of the total number of the serial numbers as the demarcation point, divides the sequence into upper and lower halves, and pairs the upper and lower halves to obtain a new sequence, which is reordered by the order of frequency from small to large.
  • the post-row sequence is in descending order of the frequency from small to large.
  • Step 302 Calculate and search for the location of the corresponding power in the correlation sequence after the frequency domain correlation, The relevant sequence corresponding to the location and the related sequence of the location associated with the location are deleted.
  • R ⁇ fc R ⁇ fc
  • the position associated with the position 'set in advance is the deletion set
  • the number of deletions depends on the actual scheme design. Generally, it is possible to achieve better results by deleting 10 related sequences on both sides of the position corresponding to the highest power.
  • the single-tone interference frequency is usually not equal to the sub-carrier frequency
  • the single-tone interference after the frequency domain transformation is decomposed into the nearest frequency point and the adjacent frequency point. Therefore, by this step, the component adjacent to the maximum value is deleted, preferably Eliminates the effects of monophonic interference.
  • Step 303 Accumulate the remaining correlation sequences, and use the accumulated values to obtain the frequency deviation.
  • Equation (11) is as follows:
  • ⁇ F is the subcarrier spacing
  • A 1/Nr s
  • N is the number of subcarriers
  • N d is the number of samples.
  • R is the accumulated correlation sequence.
  • the improved estimation method of the present invention is an unbiased estimation method of fractional frequency offset, and substantially eliminates the influence of single tone interference and DC component (which can be understood as special tone interference with frequency 0) on frequency offset estimation. .
  • the invention utilizes the relationship between the fractional frequency offset value in the frequency domain and the time domain, and uses the frequency domain delay correlation to replace the time domain delay correlation, and deletes the power maximum value and its nearby components in the frequency domain delay correlation value, and greatly improves The robustness of the fractional frequency offset estimation eliminates the influence of single-tone interference and DC components on the performance of fractional frequency offset estimation.
  • FIG. 4 is a schematic structural diagram of a device for implementing fractional frequency offset estimation according to the present invention.
  • the method includes a preprocessing module and a frequency domain correlation module. a sorting module, an interference removing module, and a frequency deviation obtaining module, wherein a pre-processing module, configured to transform the received time domain signal into a frequency domain signal.
  • the frequency domain correlation module is configured to receive the transformed frequency signal from the preprocessing module, and perform frequency domain correlation on the frequency domain signal.
  • the interference deletion module is configured to calculate and search for a position corresponding to the highest power in the correlation sequence output by the frequency domain correlation module, delete the correlation sequence corresponding to the position and the correlation sequence of the preset position related to the position, and output the remaining correlation sequence Give the frequency deviation acquisition module.
  • a frequency deviation acquisition module is configured to accumulate the remaining correlation sequences and obtain the frequency deviation using the accumulated values.
  • the apparatus further includes a sorting module disposed between the frequency domain correlation module and the interference deletion module, configured to arrange related sequences output from the frequency domain correlation module according to a frequency from small to large, and sort the related sequences. Output to the interference removal module.
  • 5 is a schematic diagram showing the simulation results of the influence of the single tone interference on the fractional frequency offset estimation of the present invention.
  • the abscissa represents the SNR
  • the ordinate represents the estimated standard frequency offset between the estimation result and the real value, for example, 5 is 4
  • the simulation environment is the AWGN channel
  • the decimal frequency offset is 1/4 subcarriers and there is 1.25MHz single tone interference
  • the simulation result of the fractional frequency offset estimation accuracy of the CMMB mobile TV simulation platform is the simulation result of the fractional frequency offset estimation accuracy of the CMMB mobile TV simulation platform.
  • Curve 51 is the simulation result obtained by the method of the present invention in the presence of -10 dB tone interference
  • curve 52 is the simulation result obtained by the method of the present invention in the presence of OdB tone interference
  • curve 53 is the presence of -10 dB tone interference, using existing
  • curve 54 is the simulation result obtained by using the existing method for the presence of OdB monophonic interference. It is obvious from the simulation curve that the method of the invention is insensitive to monophonic interference, and more accurate estimation results can be obtained under different degrees of monophonic interference.

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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
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Abstract

A method and apparatus for realizing decimal frequency offset estimation are provided by the present invention. The relationship of decimal frequency offset values between in the frequency domain and in the time domain is utilized, and the frequency domain correlation is adopted to replace the time domain correlation, and correlation sequence components corresponding to the highest power value and its neighbourhood are deleted from a frequency domain correlation sequence, only the remained correlation sequence is accumulated to obtain a frequency offset. Because the frequency of the single tone interference is generally not equal to the subcarrier frequencies, the single tone interference, after a frequency domain transform, will be decomposed onto the nearest frequency point and the neighboring frequency points. Hence, by deleting the components near the highest value, the influence of the single tone interference is better eliminated, thus the robustness of the decimal frequency offset estimation is improved greatly, and the influence of the single tone interference and direct-current component on the performance of the decimal frequency offset estimation is eliminated.

Description

一种实现小数频偏估计的方法及装置 技术领域  Method and device for realizing fractional frequency offset estimation
本发明涉及载波频偏估计和补偿技术, 尤指一种基于中国移动数字多 媒体广播(CMMB, China Mobile Multimedia Broadcasting )技术终端设备 实现小数频偏估计的方法及装置。 背景技术  The present invention relates to a carrier frequency offset estimation and compensation technique, and more particularly to a method and apparatus for implementing fractional frequency offset estimation based on a terminal device of China Mobile Multimedia Broadcasting (CMMB) technology. Background technique
CMMB标准釆用我国自主研发的移动电视接收标准 STiMi, CMMB标 准是国内自主研发的第一套面向手机、 PDA, MP3、 MP4、 数码相机、 笔记 本电脑多种移动终端的系统, 利用 S波段卫星信号实现天地一体覆盖、 全 国漫游, 支持 25套电视节目和 30套广播节目。 CMMB标准规定了在广播 业务频率范围内, 移动多媒体广播系统广播信道传输信号的帧结构、 信道 编码和调制, CMMB标准适用于 30MHz到 3000MHz频率范围内的广播业 务频率, 通过卫星和 /或地面无线发射电视、 广播、 数据信息等多媒体信号 的广播系统, 可以实现全国漫游。  The CMMB standard uses the mobile TV receiving standard STiMi independently developed by China. The CMMB standard is the first domestically developed system for mobile phones, PDAs, MP3s, MP4s, digital cameras, laptops, and a variety of mobile terminals, using S-band satellite signals. Achieve integrated coverage of the world, national roaming, support 25 sets of TV programs and 30 sets of radio programs. The CMMB standard specifies the frame structure, channel coding and modulation of the broadcast channel transmission signal of the mobile multimedia broadcasting system in the frequency range of the broadcasting service. The CMMB standard is applicable to the broadcasting service frequency in the frequency range of 30 MHz to 3000 MHz, via satellite and/or terrestrial wireless. A national broadcasting system that transmits multimedia signals such as television, radio, and data information can achieve national roaming.
CMMB标准釆用正交频分复用( OFDM, Orthogonal Frequency Division Multiplexing )技术, OFDM是一种公知的多载波调制技术, 其主要原理是: 将信道分成若干正交子信道, 将高速数据转换成并行的低速子数据流, 调 制到每个子信道上进行传输。 正交信号可以通过在接收端釆用相关技术来 分开, 这样可以减少子信道之间的相互干扰。 每个子信道上的信号带宽小 于信道的相关带宽, 因此每个子信道可以看成平坦性衰落, 从而可以消除 符号间干扰。 而且由于每个子信道带宽仅仅是原信道带宽的一小部分, 信 道均衡变得相对容易。 OFDM目前已被用于数种无线系统标准中, 譬如欧洲数字音频和数字 视频广播系统如 DAB、 DVB-T、 DVB-H、 5GHz高数据数率无线 LAN ( IEEE802.11a, HiperLan2, MMAC ) 系统等。 The CMMB standard uses Orthogonal Frequency Division Multiplexing (OFDM) technology. OFDM is a well-known multi-carrier modulation technology. Its main principle is: divide the channel into several orthogonal subchannels, and convert high-speed data into Parallel low-speed sub-data streams are modulated onto each sub-channel for transmission. The orthogonal signals can be separated by using correlation techniques at the receiving end, which can reduce mutual interference between subchannels. The signal bandwidth on each subchannel is smaller than the associated bandwidth of the channel, so each subchannel can be considered as flatness fading, thereby eliminating intersymbol interference. And since each subchannel bandwidth is only a small fraction of the original channel bandwidth, channel equalization becomes relatively easy. OFDM is currently used in several wireless system standards, such as European digital audio and digital video broadcasting systems such as DAB, DVB-T, DVB-H, 5GHz high data rate wireless LAN (IEEE802.11a, HiperLan2, MMAC) systems. Wait.
由于 OFDM各子信道带宽较小, 对载波频率偏差的敏感程度很高, 需 要非常精确的频率同步。 根据频率偏差和子载波间隔之间的关系可以将其 分为小数部分和整数部分, 整数部分仅使信息信号在子信道上平移, 并不 破坏各子载波间的正交性; 而小数部分会造成子信道干扰, 破坏子载波间 的正交性, 导致系统的误码率性能严重下降。 因此, 在接收端先进行时域 小数频偏估计和补偿, 消除小数部分引起的 ICI, 随后在频域上进行平移即 可消除载波频偏的影响。  Since the sub-channels of OFDM have a small bandwidth and are highly sensitive to carrier frequency deviation, very accurate frequency synchronization is required. According to the relationship between the frequency deviation and the subcarrier spacing, it can be divided into a fractional part and an integer part. The integer part only shifts the information signal on the subchannel without destroying the orthogonality between the subcarriers; Subchannel interference, which destroys the orthogonality between subcarriers, causes the BER performance of the system to be seriously degraded. Therefore, the time domain first-order fractional frequency offset estimation and compensation is performed at the receiving end to eliminate the ICI caused by the fractional part, and then the translation in the frequency domain can eliminate the influence of the carrier frequency offset.
目前, 小数频偏估计方法是利用训练符号信息基于时域相关的方法来 实现的。 大致包括以下步骤:  At present, the fractional frequency offset estimation method is implemented by using the training symbol information based on the time domain correlation method. It generally includes the following steps:
现有估计方法的实施步骤如下:  The implementation steps of the existing estimation method are as follows:
首先,将接收到的信号按照对应顺序分别存入预设数组 / («)和/"2(«); 然 First, the received signals are stored in the preset arrays in the corresponding order / («) and / " 2 («);
L-1  L-1
后,使用 Rt {n)r* (n)对 ry (n)和 r2* (n)进行乘累加运算求得相关值 R,; 最后, 使用 Δ/ε = ' WAF得出小数频偏估计结果。 假设发送的两个时域同步符号; (n)和 ¾ (n)之间有 Nd个样值的时延, 重 复符号长度为 L , 如图 1所示, 图 1为相隔 N个样值的两个时域重复训练 符号的示意图。 上述各步骤具体实现如下: Then, use R t {n)r* (n) to multiply and accumulate r y (n) and r 2 * (n) to obtain the correlation value R, and finally, use Δ / ε = ' WAF to obtain the fractional frequency Partial estimation results. Suppose two time-domain sync symbols are sent; there are delays of N d samples between (n) and 3⁄4 (n), and the repeat symbol length is L, as shown in Figure 1, Figure 1 is separated by N samples. Schematic diagram of repeated training symbols for two time domains. The above steps are specifically implemented as follows:
当存在载波频率偏差 Δ/ε和载波相位偏差 Δζ3时,接收到的两个训练符号 )和 r2(«)可分别表示为公式 (1)和公式 (2): When there is carrier frequency deviation Δ/ ε and carrier phase deviation Δζ3, the two received training symbols) and r 2 («) can be expressed as equation (1) and formula ( 2 ), respectively:
r (n) = r{n) = xl (n) exp (- j{27iAfcnTs + Αφ)) + ηι (nTs ) r (n) = r{n) = x l (n) exp (- j{27iAf c nT s + Αφ)) + η ι (nT s )
(1) (1)
r2 (n) = r(n + Nd ) = x2 (n) exp(-j(2 c (n + Nd )Ts + Αφ)) + η, {{n + Nd )Ts ) (2) r 2 (n) = r(n + N d ) = x 2 (n) exp(-j(2 c (n + N d )T s + Αφ)) + η, {{n + N d )T s ) (2)
其中, /i = 0,l,-",L- 1  Where /i = 0,l,-",L- 1
在接收端,通过对两个训练符号的时域相关,得到中间变量即相关值 R, 为公式 (3)所示:  At the receiving end, by correlating the time domain of the two training symbols, the intermediate variable, the correlation value R, is obtained, as shown in equation (3):
_ (n) exp(- (2 / rs +Αφ)) + ηγ (nTs )] x = exp(j2^fcNdTs x, (n)x2 (n) + η _ (n) exp(- (2 / r s +Αφ)) + η γ (nT s )] x = exp(j2^f c N d T s x, (n)x 2 (n) + η
.
Figure imgf000005_0001
Figure imgf000005_0001
在不考虑噪声的情况下,且; = « = 0,1,2,〜,L-1,那么,相关值 R, 如公式 (4)所示:
Figure imgf000005_0002
Without considering noise, and; = « = 0,1,2,~, L-1, then, the correlation value R, as shown in equation (4):
Figure imgf000005_0002
从公式 (4)可见, 相关值 Rf的相位为公式 (5)所示: It can be seen from equation (4) that the phase of the correlation value R f is as shown in equation (5):
arg(Rt) = 2 AfcNdTs Arg(R t ) = 2 Af c N d T s
(5) (5)
可见这种情况下, 所得相关值 Rt的相位与载波相位偏差 没有关系 所以, 载波频率偏差如公式 (6)所示: It can be seen that in this case, the phase of the obtained correlation value R t has no relationship with the carrier phase deviation. Therefore, the carrier frequency deviation is as shown in formula (6):
arg(Rf) _ arg(Rt)NAFArg(R f ) _ arg(R t )NAF
c =fc ~fc c =f c ~f c
2πΝ , 1氣  2πΝ , 1 gas
公式 (6)中, 载波间隔 A = 1/Nrs 对于相关值 Rt的相位而言 , arg(Rf )的变化范围 。In equation (6), the carrier spacing A = 1/Nr s For the phase of the correlation value R t , the range of variation of arg(R f ).
Figure imgf000006_0001
Figure imgf000006_0001
Jan等人已经证明, 在 AWGN信道中, 现有小数频偏估计是最大似然 估计; 另外, 同样是在 AWGN信道中, Schimdl等人分析了现有小数频偏 估计的性能, 并给出了载波偏差 Δ/ε估计值的方差 i7A 2 f oc^_。 Jan et al. have shown that in the AWGN channel, the existing fractional frequency offset estimation is the maximum likelihood estimation; in addition, in the AWGN channel, Schimdl et al. analyzed the performance of the existing fractional frequency offset estimation and gave The variance of the carrier deviation Δ / ε estimate i7 A 2 f oc ^ _.
fc LSNR f c LSNR
当存在单音干扰时, 对现有小数频偏估计方法的价格会存在较大影响, 单音干扰的引入不仅会使得现有小数频偏方法从无偏估计退化为有偏估 计, 而且估计值的方差也会明显增大。 具体说明如下:  When there is monophonic interference, the price of the existing fractional frequency offset estimation method will have a great influence. The introduction of monophonic interference will not only degrade the existing fractional frequency offset method from unbiased estimation to biased estimation, but also estimate. The variance will also increase significantly. The specific instructions are as follows:
假设通带内单音干扰信号 = A.exp( 2 t) , 其中, /为单音干扰信号频 率。 那么, 接收到的两个训练符号可分别表示为公式 (1')和公式 (2' ): Assume that the single tone interference signal in the passband = A. ex p( 2 t) , where / is the frequency of the single tone interference signal. Then, the two training symbols received can be represented as formula (1') and formula (2'), respectively:
r in) = r{n) = xl (n) exp (- j{l /fcnTs + Αφ)) + A · exp(j'2« ) + ηι (nTs ) r in) = r{n) = x l (n) exp (- j{l /f c nT s + Αφ)) + A · exp(j'2« ) + η ι (nT s )
r2 (n) = r(n + Nd) = x2 (n) exp(-;(2 c (n + Nd )TS + Αφ)) + A · exp(;2^f (n + Nd )TS ) + l{{n + Nd)Ts) r 2 (n) = r(n + N d ) = x 2 (n) exp(-;(2 c (n + N d )T S + Αφ)) + A · exp(;2^ f (n + N d )T S ) + l {{n + N d )T s )
其中, w = 0,l,-",L- 1。 在接收端,通过对两个训练符号的时域相关,得到中间变量即相关值 为公式 (3' )所示: Where w = 0,l,-", L-1. At the receiving end, by correlating the time domain of the two training symbols, the intermediate variable, ie the correlation value, is given by the formula (3'):
L-1  L-1
^ i [j (n) exp (- j、HfcnTs + Αφ)) + α + ην (nTs )] x ^ i [j (n) exp (- j, Hf c nT s + Αφ)) + α + η ν (nT s )] x
~ [x2 (n) exp( 2nAfc (n + Nd )Ts +Αφ)) + *+ η ((n + Nd )Ts )] ~ [x 2 (n) exp( 2nAf c (n + N d )T s +Αφ)) + *+ η ((n + N d )T s )]
L-1  L-1
= exp(;2 -cNdrs )g Xl (n)x2 (n) + L-A2- exp(-j2 dTs ) + η = exp(;2 - c N d r s )g Xl (n)x 2 (n) + LA 2 - exp(-j2 d T s ) + η
其中, (n) exp (- j、HfcnTs + Αφ)) - * + x2* (n) exp(j(27iAfc (n + Nd )Ts + Αφ)) · + =∑¾ (n) exp(— (2 / rs + Αφ)) - η{ ((n + Nd )TS ) + x2 (n) exp(;(2 c (n + Nd )TS + Αφ)) · ηγ (nTs ) + "=0 a · η, {{n + Nd )TS ) + - η, (nTs ) + ηγ (nTs ) · η, {{n + Nd )TS )] among them, (n) exp (- j, Hf c nT s + Αφ)) - * + x 2 * (n) exp(j(27iAf c (n + N d )T s + Αφ)) · + =∑3⁄4 (n ) exp(— (2 / r s + Αφ)) - η{ ((n + N d )T S ) + x 2 (n) exp(;(2 c (n + N d )T S + Αφ)) · η γ (nT s ) + " =0 a · η, {{n + N d )T S ) + - η, (nT s ) + η γ (nT s ) · η, {{n + N d ) T S )]
的期望为 0。 The expectation is 0.
相关值 Rf的相位估计期望为公式 (5' ):
Figure imgf000007_0001
The phase estimate of the correlation value R f is expected to be the formula (5'):
Figure imgf000007_0001
(5' ) (5' )
由此可见, 单音干扰的引入不仅使得现有小数频偏方法从无偏估计退 化为有偏估计, 而且估计值的方差也明显增大。  It can be seen that the introduction of monophonic interference not only degrades the existing fractional frequency offset method from unbiased estimation to biased estimation, but also increases the variance of the estimated value.
图 2为单音干扰对现有小数频偏估计的影响仿真结果示意图, 如图 2 所示, 横坐标表示信噪比(SNR ), 纵坐标表示估计结果和真实值间的估计 标准频偏, 如 2为 H没测试环境为 AWGN信道, 小数频偏为 1/4个子载波 且存在 1.25MHz的单音干扰时, CMMB手机电视仿真平台小数频偏估计精 度的仿真结果。曲线 21为无单音干扰得到的仿真结果,曲线 22为存在 -20dB 单音干扰得到的仿真结果,曲线 23为存在 -10dB单音干扰得到的仿真结果, 曲线 24为存在 OdB单音干扰得到的仿真结果。 从仿真曲线明显可见, 当不 存在单音干扰时, 估计标准频偏随着信噪比的提高单调快速下降, 在  Figure 2 is a schematic diagram showing the simulation results of the influence of single-tone interference on the existing fractional frequency offset estimation. As shown in Fig. 2, the abscissa represents the signal-to-noise ratio (SNR), and the ordinate represents the estimated standard frequency offset between the estimation result and the true value. For example, if the H is not tested in the AWGN channel, the fractional frequency offset is 1/4 subcarriers and there is 1.25MHz single tone interference, the simulation result of the fractional frequency offset estimation accuracy of the CMMB mobile TV simulation platform. Curve 21 is the simulation result without single tone interference, curve 22 is the simulation result obtained by -20dB single tone interference, curve 23 is the simulation result obtained by the presence of -10dB tone interference, and curve 24 is obtained by the presence of OdB tone interference. Simulation results. It is obvious from the simulation curve that when there is no single-tone interference, the estimated standard frequency offset decreases monotonously with the increase of the signal-to-noise ratio.
SNR=-4dB达到 0.01 , SNR =10dB时接近千分之一; 但是, 在接收端引入 和有用信号功率相等 (即 OdB ) 的单音干扰后, 直接导致现有频偏估计方 法崩溃, 估计结果错误, 且对信噪比变化不敏感。 即使单音干扰降低到相 对于有用信号 -10dB, 估计标准频偏也非常大, 且性能盆底劣于百分之一, 达不到对 OFDM高质量解调的要求。 仅在单音干扰下降到 -20dB时, 估计 性能才能在大部分信噪比区间内满足要求。 SNR=-4dB reaches 0.01, and SNR=10dB is close to one thousandth; however, after the receiver introduces the single tone interference with the equal signal power (ie, OdB), the existing frequency offset estimation method collapses directly, and the estimation result Error, and is not sensitive to signal-to-noise ratio changes. Even if the tone interference is reduced to -10dB relative to the wanted signal, the estimated standard frequency offset is very large, and the performance pelvic floor is inferior to one percent, which does not meet the requirements for high quality demodulation of OFDM. Estimated performance can only be met in most SNR intervals when the tone interference drops to -20dB.
从图 2所示仿真结果可以看出, 现有实现小数频偏估计的方法的估计 精度严重受到外界干扰的影响, 大幅降低了小数频偏估计的鲁棒性。 发明内容 It can be seen from the simulation results shown in Fig. 2 that the estimation accuracy of the existing methods for implementing fractional frequency offset estimation is seriously affected by external interference, which greatly reduces the robustness of fractional frequency offset estimation. Summary of the invention
有鉴于此, 本发明的主要目的在于提供一种实现小数频偏估计的方法, 能够大幅降低受到外界干扰的影响, 从而大幅提高小数频偏估计的鲁棒性。  In view of this, the main object of the present invention is to provide a method for implementing fractional frequency offset estimation, which can greatly reduce the influence of external interference, thereby greatly improving the robustness of fractional frequency offset estimation.
本发明的另一目的在于提供一种实现小数频偏估计的装置, 能够大幅 降低受到外界干扰的影响, 从而大幅提高小数频偏估计的鲁棒性。  Another object of the present invention is to provide an apparatus for implementing fractional frequency offset estimation, which can greatly reduce the influence of external interference, thereby greatly improving the robustness of fractional frequency offset estimation.
为达到上述目的, 本发明的技术方案是这样实现的:  In order to achieve the above object, the technical solution of the present invention is achieved as follows:
一种实现小数频偏估计的方法, 该方法包括以下步骤:  A method for implementing fractional frequency offset estimation, the method comprising the following steps:
将接收到的时域信号变换为频域信号后进行频域相关;  Converting the received time domain signal into a frequency domain signal and performing frequency domain correlation;
计算并搜索排列后的相关序列中对应功率最大的位置, 删除该位置对 应的相关序列以及与该位置相关的位置的相关序列;  Calculating and searching for the position of the corresponding power in the ranked related sequence, and deleting the relevant sequence corresponding to the position and the related sequence of the position related to the position;
累加排列后的剩余的相关序列, 并利用累加值获得频率偏差。  The remaining related sequences after the arrangement are accumulated, and the frequency deviation is obtained by using the accumulated values.
所述变换方法为傅里叶 FFT变换。  The transform method is a Fourier FFT transform.
所述进行频域相关之后, 计算并搜索排列后的相关序列中对应功率最 大的位置之前, 该方法还包括: 按照频率从小到大的顺序对频域相关获得 的相关序列进行排列; 所述排列后的相关序列 R" (k)为: R" (k) After performing the frequency domain correlation, before calculating and searching for the position of the corresponding power in the aligned correlation sequence, the method further includes: arranging the correlation sequences obtained by the frequency domain correlation according to the frequency from small to large; The subsequent related sequence R" (k) is: R" (k)
Figure imgf000008_0001
Figure imgf000008_0001
)为所述频域相关后得到的相关序列; L 为所述接收到的时域信号的重 复符号长度。  a correlation sequence obtained after correlation in the frequency domain; L is a repetition symbol length of the received time domain signal.
当对应功率最大的位置 '<10时, 所述与位置 相关的位置为: φ = {0Χ···,^,···,^ + 9,k' +lO;L + k' -lO,L + k' -9,---,L-l};  When the position corresponding to the maximum power is '<10, the position-related position is: φ = {0Χ···, ^,···, ^ + 9, k' + lO; L + k' -lO, L + k' -9,---,Ll};
当对应功率最大的位置满足 ZJ2-ll<^≤L/2-l时, 所述与位置 相关 的位置为: = μ— 10,^—9,···, ^,···, /2— 1};  When the position corresponding to the maximum power satisfies ZJ2-ll<^≤L/2-l, the position-related position is: = μ-10, ^-9, ···, ^,···, /2 - 1};
当对应功率最大的位置满足 L/2≤ < L/2 + 10时, 所述与位置 相关的 位置为: i3 = {L/2,L/2 + l,---,t',---,t' +9,^ +10}; The position-dependent when the position corresponding to the maximum power satisfies L/2 ≤ < L/2 + 10 The position is: i3 = {L/2, L/2 + l, ---, t', ---, t' +9, ^ +10};
当对应功率最大的位置满足 f >L-ll时, 所述与位置 相关的位置为: ^ = {0,1,···,^' -L + 9,fc' -L + 10;^' -I0,k' -9,---,k',---,L-l};  When the position corresponding to the maximum power satisfies f > L-ll, the position-related position is: ^ = {0,1,···,^' -L + 9,fc' -L + 10;^' -I0,k' -9,---,k',---,Ll};
否则,所述与位置^相关的位置为: = {fc — 10,^—9,···, ^,···,^ + 9,^ + 10}; 其中, L为所述接收到的时域信号的重复符号长度。  Otherwise, the position associated with the position ^ is: = {fc — 10,^—9,···, ^,···, ^ + 9,^ + 10}; where L is the received The repeat symbol length of the time domain signal.
所述位置的相关序列为: 所述对应排列后的相关序列中功率最大的位 置的两边各十个相关序列。  The correlation sequence of the position is: each of the ten related sequences on both sides of the position of the highest power in the correlation sequence after the corresponding arrangement.
所述累加排列后的剩余的相关序列, 并利用累加值获得频率偏差 Δ/ε具 体为: And accumulating the remaining related correlation sequences, and obtaining the frequency deviation Δ/ ε by using the accumulated value is specifically:
△/ =/- / =^^=arg(F, 其中 为子载波间隔, A = 1/Nr , △ / = / - / = ^ ^ = arg ( learn F , where is the subcarrier spacing, A = 1/Nr,
N为子载波数目, Nd为样值数, R为累加后的相关序列。 N is the number of subcarriers, N d is the number of samples, and R is the accumulated correlation sequence.
一种实现小数频偏估计的装置, 该装置包括预处理模块、 频域相关模 块、 排序模块、 干扰删除模块和频率偏差获取模块, 其中,  An apparatus for implementing fractional frequency offset estimation, the apparatus comprising a preprocessing module, a frequency domain correlation module, a sequencing module, an interference deletion module, and a frequency deviation acquisition module, wherein
预处理模块, 用于将接收到的时域信号变换为频域信号;  a pre-processing module, configured to transform the received time domain signal into a frequency domain signal;
频域相关模块, 用于接收来自预处理模块变换后的频率信号, 对频域 信号进行频域相关;  a frequency domain correlation module, configured to receive a frequency signal transformed from the preprocessing module, and perform frequency domain correlation on the frequency domain signal;
干扰删除模块, 用于计算并搜索频域相关模块输出的相关序列中对应 功率最大的位置, 删除该位置对应的相关序列以及与该位置相关的预设位 置的相关序列, 将剩余的相关序列输出给频率偏差获取模块;  The interference deletion module is configured to calculate and search for a position corresponding to the highest power in the correlation sequence output by the frequency domain correlation module, delete the correlation sequence corresponding to the position and the correlation sequence of the preset position related to the position, and output the remaining correlation sequence Giving a frequency deviation acquisition module;
频率偏差获取模块, 用于累加排列后的剩余的相关序列, 并利用累加 值获得频率偏差。  The frequency deviation obtaining module is configured to accumulate the remaining related sequences after the arrangement, and obtain the frequency deviation by using the accumulated value.
该装置还包括排序模块, 设置在频域相关模块和干扰删除模块之间, 用于按照频率从小到大的顺序, 对来自频域相关模块输出的相关序列进行 排列, 并将排序后的相关序列输出给干扰删除模块。  The apparatus further includes a sorting module disposed between the frequency domain correlation module and the interference deletion module, configured to arrange related sequences output from the frequency domain correlation module according to a frequency from small to large, and sort the related sequences. Output to the interference removal module.
从上述本发明提供的技术方案可以看出, 本发明利用小数频偏值在频 域与时域之间的关系, 釆用频域相关取代时域相关, 并从频域相关序列中 删除功率最大值及其附近的相关序列分量, 而只利用累加剩余的相关序列 来获得频率偏差。 由于单音干扰频率通常不等于子载波频率, 频域变换后 单音干扰会被分解到最近的频点以及相邻的频点上。 因此, 通过删除最大 值临近的分量, 更好地消除了单音干扰的影响, 从而大幅提高了小数频偏 估计的鲁棒性, 消除了单音干扰和直流分量对小数频偏估计性能的影响。 附图说明 It can be seen from the technical solution provided by the present invention that the present invention utilizes fractional frequency offset values in frequency. The relationship between the domain and the time domain, the frequency domain correlation is used to replace the time domain correlation, and the power maximum and its related sequence components are deleted from the frequency domain correlation sequence, and only the remaining residual correlation sequences are used to obtain the frequency deviation. . Since the tone interference frequency is usually not equal to the subcarrier frequency, the monophonic interference after the frequency domain transformation is decomposed into the nearest frequency point and the adjacent frequency point. Therefore, by removing the component adjacent to the maximum value, the influence of the single-tone interference is better eliminated, thereby greatly improving the robustness of the fractional frequency offset estimation, and eliminating the influence of the single-tone interference and the DC component on the fractional frequency offset estimation performance. . DRAWINGS
图 1为相隔 Nd个样值的两个时域重复训练符号的示意图; 1 is a schematic diagram of two time domain repetition training symbols separated by N d samples;
图 2为单音干扰对现有小数频偏估计的影响仿真结果示意图; 图 3为本发明实现小数频偏估计的方法的流程图;  2 is a schematic diagram of simulation results of influence of single tone interference on existing fractional frequency offset estimation; FIG. 3 is a flowchart of a method for implementing fractional frequency offset estimation according to the present invention;
图 4为本发明实现小数频偏估计的装置的组成结构示意图;  4 is a schematic structural diagram of a device for implementing fractional frequency offset estimation according to the present invention;
图 5为单音干扰对本发明小数频偏估计的影响仿真结果示意图。 具体实施方式  FIG. 5 is a schematic diagram showing the simulation results of the influence of single tone interference on the fractional frequency offset estimation of the present invention. Detailed ways
图 3为本发明实现小数频偏估计的方法的流程图, 如图 3所示, 本发 明方法包括以下步骤:  FIG. 3 is a flowchart of a method for implementing fractional frequency offset estimation according to the present invention. As shown in FIG. 3, the method of the present invention includes the following steps:
步骤 300: 将接收到的时域信号变换为频域信号。  Step 300: Convert the received time domain signal into a frequency domain signal.
假设发送的两个时域同步符号; (n)和 ¾ (n)之间有 Nd个样值的时延, 重 复符号长度为 L , 如图 1所示, 当存在载波频率偏差 Δ/ε和载波相位偏差 时, 接收到的两个训练符号 r»和 r2(«)分别如公式 (1)和公式 (2)所示, 本步 骤中, 通过傅里叶 (FFT ) 变换, 将 /"»和/"2(«)转换并存入预设数组得到频 域同步符号序列 r; k)和 r2 (fc) , 分别如公式 (7)和公式 (8)所示: rY (k) = ^ r(/i) exp( - j27ikn l N) Assume that two time-domain sync symbols are transmitted; there are delays of N d samples between (n) and 3⁄4 (n), and the repeat symbol length is L, as shown in Figure 1, when there is carrier frequency deviation Δ/ ε When the carrier phase deviation occurs, the two training symbols r» and r 2 («) are shown in equation (1) and formula (2), respectively. In this step, by Fourier transform (FFT), "» and /" 2 («) are converted and stored in the preset array to obtain the frequency domain sync symbol sequence r; k) and r 2 (fc) as shown in equations (7) and (8), respectively: r Y ( k) = ^ r(/i) exp( - j27ikn l N)
(7) r2 =∑ r(i + Nd ) exp( - jlTikn I N) (7) r 2 =∑ r(i + N d ) exp( - jlTikn IN)
(8) (8)
其中, = ο,υ_ι。  Where = ο, υ_ι.
步骤 301: 对频域信号进行频域相关。  Step 301: Perform frequency domain correlation on the frequency domain signal.
本步骤中, 首先, 在接收端, 通过对两个频域同步符号序列的频域相 关, 得到频域相关序列为公式 (9)所示 (*符号表示共轭运算):  In this step, first, at the receiving end, by correlating the frequency domain of the two frequency domain synchronization symbol sequences, the frequency domain correlation sequence is obtained as shown in the formula (9) (the * symbol indicates the conjugate operation):
Rf{k) = ri{k)r;{k) R f {k) = ri {k)r;{k)
=
Figure imgf000011_0001
I N)
=
Figure imgf000011_0001
IN)
·∑{[¾ (n) exp(-;(2 c (n + Nd )TS +Αφ)) + η[ ((n + Nd )TS )] exp( - jlTtim I N) }* = exp(2 "cNdrs)¾ (k)x* (k) + η ·∑{[3⁄4 (n) exp(-;(2 c (n + N d )T S +Αφ)) + η[ ((n + N d )T S )] exp( - jlTtim IN) }* = Exp(2 " c N d r s )3⁄4 (k)x* (k) + η
(9)  (9)
通过本步骤的频域相关, 利用两段相同发送序列的频域变换也相同的 特点, 消除了发送序列本身的相位信息, 进一步的, 利用同一频点信道的 传输特性相同的特点消除了信道的相位信息。  Through the frequency domain correlation of this step, the frequency domain transform of the two segments of the same transmission sequence is also the same feature, the phase information of the transmission sequence itself is eliminated, and further, the same transmission characteristics of the same frequency channel are used to eliminate the channel. Phase information.
进一步地, 步骤 301 中还可以包括按照频率从小到大的顺序对获得的 相关序列 Rf(fc)进行排列, 得到排列后的相关序列 (W为公式 (10)所示: Further, the step 301 may further include arranging the obtained correlation sequence R f (fc) according to the frequency from small to large, and obtaining the aligned correlation sequence (W is represented by the formula (10):
Figure imgf000011_0002
Figure imgf000011_0002
(10) (10)
排序方法是将序号总数的一半作为分界点, 将序列分为上下两个半区, 将上下两个半区对调, 获得新的序列, 通过按照频率从小到大的顺序进行 的重新排序, 使得重排后的序列按照序号从小到大对应频率从低到高的顺 序。  The sorting method uses half of the total number of the serial numbers as the demarcation point, divides the sequence into upper and lower halves, and pairs the upper and lower halves to obtain a new sequence, which is reordered by the order of frequency from small to large. The post-row sequence is in descending order of the frequency from small to large.
步骤 302: 计算并搜索频域相关后的相关序列中对应功率最大的位置, 删除该位置对应的相关序列以及与该位置相关的位置的相关序列。 Step 302: Calculate and search for the location of the corresponding power in the correlation sequence after the frequency domain correlation, The relevant sequence corresponding to the location and the related sequence of the location associated with the location are deleted.
在 = 0,1,. ,L-1范围内搜索 值, 使得 = 时, 功率值 |R;( )|为所有功 率值 |R;(w|的最大值, 即找到了单音干扰所在的频率位置。 根据当对应功率 最大的位置 '的具体数值, 确定与位置 '相关的预设位置为删除集合:  Search for the value in the range of = 0,1,.,L-1, so that =, the power value |R; ( )| is the maximum value of all power values |R; (w|, that is, the single-tone interference is found Frequency position: According to the specific value of the position corresponding to the maximum power, the preset position related to the position is determined as the deletion set:
1)当^ <10时, φ = {0Χ···^',···^' + 9,k' +lO;L + k' -lO,L + k' -9,---,L-l}; 1) When ^ <10, φ = {0Χ····^',····^' + 9,k' +lO;L + k' -lO,L + k' -9,---,Ll };
2)当 L/2_ll< '≤L/2_1时, φ = {Κ -\Q,k -9,---,k ,---,LI2-\}; 2) When L/2_ll< '≤L/2_1, φ = {Κ -\Q,k -9,---,k ,---,LI2-\};
3)当 ZJ2≤ ' <L/2 + 10时, f = {LI2,LI2 + \,---,k ,---,k +9,k +  3) When ZJ2≤ ' <L/2 + 10, f = {LI2,LI2 + \,---,k ,---,k +9,k +
4)当^〉 L— 11时, f = {Q,\,---,k -L + 9,k -L + \Q;k -\Q,k -9,---,k ,---,L-\}\ 4) When ^〉 L—11, f = {Q,\,---,k -L + 9,k -L + \Q;k -\Q,k -9,---,k ,- --,L-\}\
5)当 ^不属于 1 ) ~4 )所列范围时, φ = {^ -10,k' -9,---,k',---,k' + 9,k' + 10}。 如果步骤 301 中, 已经按照频率从小到大的顺序对获得的相关序列5) When ^ does not belong to the range listed in 1) ~ 4), φ = {^ -10,k' -9,---,k',---,k' + 9,k' + 10}. If in step 301, the obtained correlation sequence has been obtained in order of frequency from small to large.
R^fc)进行排列, 那么, 本步骤中预先设置与位置 '相关的位置为删除集合, 该删除集合为 = {fc'- 1( - 9,… , . '+9 +10} , 而不再利用上述 1)~5)来 确定与位置 '相关的位置为删除集合。需要说明的是,删除的个数取决于实 际方案设计, 通常情况删除对应功率最大的位置的两边各 10个相关序列已 经能够达到较好的效果。 R^fc) is arranged, then, in this step, the position associated with the position 'set in advance is the deletion set, and the deletion set is = {fc'- 1( - 9,... , . '+9 +10} , instead of Then use the above 1) ~ 5) to determine the location associated with the location 'as a deletion set. It should be noted that the number of deletions depends on the actual scheme design. Generally, it is possible to achieve better results by deleting 10 related sequences on both sides of the position corresponding to the highest power.
由于单音干扰频率通常不等于子载波频率, 频域变换后单音干扰会被 分解到最近的频点以及相邻的频点上, 因此, 通过本步骤删除最大值临近 的分量, 更好地消除了单音干扰的影响。  Since the single-tone interference frequency is usually not equal to the sub-carrier frequency, the single-tone interference after the frequency domain transformation is decomposed into the nearest frequency point and the adjacent frequency point. Therefore, by this step, the component adjacent to the maximum value is deleted, preferably Eliminates the effects of monophonic interference.
步骤 303: 累加剩余的相关序列, 并利用累加值获得频率偏差。  Step 303: Accumulate the remaining correlation sequences, and use the accumulated values to obtain the frequency deviation.
获得删除位置集合 后, 利用公式(11) 累加除删除位置集合 外所有 剩余位置的相关值, 公式 (11)如下:
Figure imgf000012_0001
After obtaining the set of deleted locations, use Equation (11) to accumulate the correlation values of all remaining positions except the deleted location set. Equation (11) is as follows:
Figure imgf000012_0001
(11) (11)
L-l L-l  L-l L-l
其中, = ^^» _ j27ikn/ Ν、, χ2{Κ) = ^χ2 (n) exp( - ]2ται / N) , η的 期望为 0。 Where = ^^» _ j27ikn/ Ν,, χ 2 {Κ) = ^χ 2 (n) exp( - ]2ται / N) , η The expectation is 0.
在不考虑噪声的情况下, 且 («) = («)," = 0,1,2,... - 1, 利用本发明方法 得到的相关值 ?'如公式 (12)所示:  Without considering the noise, and («) = («)," = 0,1,2,... - 1, the correlation value obtained by the method of the invention ?' is as shown in equation (12):
R=exp(j2 AfcNdTs) ( (12) R=exp(j2 Af c N d T s ) ( (12)
相关值 R的相位为 arg(R) = HfcNdTs ,利用本发明方法,所得相关值 R的 相位与载波相位偏差 没有关系, 所以, 载波频率偏差如公式 (13)所示: ί _ = arg(R ) = arg(R)NAF The phase of the correlation value R is arg(R) = Hf c N d T s . With the method of the present invention, the phase of the correlation value R obtained has no relationship with the carrier phase deviation, so the carrier frequency deviation is as shown in the formula (13): _ = arg(R ) = arg (R)NAF
(13) (13)
其中 Δ F为子载波间隔, A = 1/Nrs , N为子载波数目, Nd为样值数,Where Δ F is the subcarrier spacing, A = 1/Nr s , N is the number of subcarriers, and N d is the number of samples.
R为累加后的相关序列。累加结果的相位角获得小数频偏估计结果的 2 dTs 倍, 在标准给定的情况下, I IN S为常数, 例如 CMMB 标准中 Nd =2048,7; =1x10- 7 ,将相位角除以 2πΝάΊ即可获得实际的小数频偏估计值。 可见, 本发明改进后的估计方法是一种小数频偏的无偏估计方法, 且基本 消除了单音干扰和直流分量(可以理解为频率为 0 的特殊单音干扰)对频 偏估计的影响。 R is the accumulated correlation sequence. The phase angle of the accumulation result obtained fractional frequency offset estimation result 2 d T s times, given in the standard case, I IN S is a constant, for example, in the CMMB standard N d = 2048,7; = 1x10- 7 , the phase The angle is divided by 2πΝ ά Ί to obtain the actual fractional frequency offset estimate. It can be seen that the improved estimation method of the present invention is an unbiased estimation method of fractional frequency offset, and substantially eliminates the influence of single tone interference and DC component (which can be understood as special tone interference with frequency 0) on frequency offset estimation. .
本发明利用小数频偏值在频域与时域之间的关系, 釆用频域延迟相关 取代时域延迟相关, 并在频域延迟相关值中删除功率最大值及其附近的分 量, 大幅提高了小数频偏估计的鲁棒性, 消除了单音干扰和直流分量对小 数频偏估计性能的影响。  The invention utilizes the relationship between the fractional frequency offset value in the frequency domain and the time domain, and uses the frequency domain delay correlation to replace the time domain delay correlation, and deletes the power maximum value and its nearby components in the frequency domain delay correlation value, and greatly improves The robustness of the fractional frequency offset estimation eliminates the influence of single-tone interference and DC components on the performance of fractional frequency offset estimation.
针对本发明方法, 还提供一种实现小数频偏估计的装置, 图 4为本发 明实现小数频偏估计的装置的组成结构示意图, 如图 4所示, 包括预处理 模块、 频域相关模块、 排序模块、 干扰删除模块和频率偏差获取模块, 其 中, 预处理模块, 用于将接收到的时域信号变换为频域信号。 For the method of the present invention, an apparatus for implementing fractional frequency offset estimation is provided. FIG. 4 is a schematic structural diagram of a device for implementing fractional frequency offset estimation according to the present invention. As shown in FIG. 4, the method includes a preprocessing module and a frequency domain correlation module. a sorting module, an interference removing module, and a frequency deviation obtaining module, wherein a pre-processing module, configured to transform the received time domain signal into a frequency domain signal.
频域相关模块, 用于接收来自预处理模块变换后的频率信号, 对频域 信号进行频域相关。  The frequency domain correlation module is configured to receive the transformed frequency signal from the preprocessing module, and perform frequency domain correlation on the frequency domain signal.
干扰删除模块, 用于计算并搜索频域相关模块输出的相关序列中对应 功率最大的位置, 删除该位置对应的相关序列以及与该位置相关的预设位 置的相关序列, 将剩余的相关序列输出给频率偏差获取模块。  The interference deletion module is configured to calculate and search for a position corresponding to the highest power in the correlation sequence output by the frequency domain correlation module, delete the correlation sequence corresponding to the position and the correlation sequence of the preset position related to the position, and output the remaining correlation sequence Give the frequency deviation acquisition module.
频率偏差获取模块, 用于累加剩余的相关序列, 并利用累加值获得频 率偏差。  A frequency deviation acquisition module is configured to accumulate the remaining correlation sequences and obtain the frequency deviation using the accumulated values.
该装置还包括排序模块, 设置在频域相关模块和干扰删除模块之间, 用于按照频率从小到大的顺序, 对来自频域相关模块输出的相关序列进行 排列, 并将排序后的相关序列输出给干扰删除模块。  The apparatus further includes a sorting module disposed between the frequency domain correlation module and the interference deletion module, configured to arrange related sequences output from the frequency domain correlation module according to a frequency from small to large, and sort the related sequences. Output to the interference removal module.
图 5为单音干扰对本发明小数频偏估计的影响仿真结果示意图,如图 5 所示, 横坐标表示 SNR, 纵坐标表示估计结果和真实值间的估计标准频偏, 如 5 为 4艮设测试环境为 AWGN信道, 小数频偏为 1/4 个子载波且存在 1.25MHz的单音干扰时, CMMB手机电视仿真平台小数频偏估计精度的仿 真结果。 曲线 51为存在 -10dB单音干扰, 利用本发明方法得到的仿真结果, 曲线 52为存在 OdB单音干扰, 利用本发明方法得到的仿真结果, 曲线 53 为存在 -10dB单音干扰,利用现有方法得到的仿真结果,曲线 54为存在 OdB 单音干扰, 利用现有方法得到的仿真结果。 从仿真曲线明显可见, 本发明 方法对单音干扰不敏感, 在不同程度的单音干扰下都可以得到较为准确的 估计结果。  5 is a schematic diagram showing the simulation results of the influence of the single tone interference on the fractional frequency offset estimation of the present invention. As shown in FIG. 5, the abscissa represents the SNR, and the ordinate represents the estimated standard frequency offset between the estimation result and the real value, for example, 5 is 4 The simulation environment is the AWGN channel, the decimal frequency offset is 1/4 subcarriers and there is 1.25MHz single tone interference, the simulation result of the fractional frequency offset estimation accuracy of the CMMB mobile TV simulation platform. Curve 51 is the simulation result obtained by the method of the present invention in the presence of -10 dB tone interference, curve 52 is the simulation result obtained by the method of the present invention in the presence of OdB tone interference, and curve 53 is the presence of -10 dB tone interference, using existing The simulation result obtained by the method, curve 54 is the simulation result obtained by using the existing method for the presence of OdB monophonic interference. It is obvious from the simulation curve that the method of the invention is insensitive to monophonic interference, and more accurate estimation results can be obtained under different degrees of monophonic interference.
以上所述, 仅为本发明的较佳实施例而已, 并非用于限定本发明的保 护范围, 凡在本发明的精神和原则之内所作的任何修改、 等同替换和改进 等, 均应包含在本发明的保护范围之内。  The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included. Within the scope of protection of the present invention.

Claims

权利要求书 Claim
1、一种实现小数频偏估计的方法,其特征在于,该方法包括以下步骤: 将接收到的时域信号变换为频域信号后进行频域相关;  A method for implementing fractional frequency offset estimation, the method comprising the steps of: converting a received time domain signal into a frequency domain signal and performing frequency domain correlation;
计算并搜索排列后的相关序列中对应功率最大的位置, 删除该位置对 应的相关序列以及与该位置相关的位置的相关序列;  Calculating and searching for the position of the corresponding power in the ranked related sequence, and deleting the relevant sequence corresponding to the position and the related sequence of the position related to the position;
累加排列后的剩余的相关序列, 并利用累加值获得频率偏差。  The remaining related sequences after the arrangement are accumulated, and the frequency deviation is obtained by using the accumulated values.
2、 根据权利要求 1所述的方法, 其特征在于, 所述变换方法为傅里叶 FFT变换。  2. The method according to claim 1, wherein the transform method is a Fourier FFT transform.
3、根据权利要求 1所述的方法, 其特征在于, 所述进行频域相关之后, 计算并搜索排列后的相关序列中对应功率最大的位置之前, 该方法还包括: 按照频率从小到大的顺序对频域相关获得的相关序列进行排列; 所述排列后的相关序列 R" (k)为: R" (k) The method according to claim 1, wherein after the frequency domain correlation is performed, before calculating and searching for the location of the aligned correlation sequence having the highest power, the method further comprises: following the frequency from small to large. The sequence is related to the correlation sequence obtained by the frequency domain correlation; the aligned correlation sequence R" (k) is: R" (k)
Figure imgf000015_0001
Figure imgf000015_0001
)为所述频域相关后得到的相关序列; L 为所述接收到的时域信号的重 复符号长度。  a correlation sequence obtained after correlation in the frequency domain; L is a repetition symbol length of the received time domain signal.
4、 根据权利要求 1所述的方法, 其特征在于,  4. The method of claim 1 wherein:
当对应功率最大的位置 '<10时, 所述与位置 '相关的位置为: φ = {0Χ···,^,···,^ + 9,k' +lO;L + k' -lO,L + k' -9,---,L-l};  When the position corresponding to the maximum power is '<10, the position related to the position' is: φ = {0Χ···, ^,···, ^ + 9, k' + lO; L + k' -lO , L + k' -9, ---, Ll};
当对应功率最大的位置满足 ZJ2-ll< ≤L/2-l时, 所述与位置 '相关 的位置为: = μ — 10,fc — 9,···, L/2— 1};  When the position corresponding to the maximum power satisfies ZJ2-ll< ≤ L/2-l, the position associated with the position ' is: μ μ — 10, fc — 9,···, L/2—1};
当对应功率最大的位置满足 L/ 2≤ ^ < L/ 2 + 10时, 所述与位置 '相关的 位置为: i3 = {L/2,L/2 + l,---,fc',---,fc' +9,^ +10};  When the position corresponding to the maximum power satisfies L / 2 ≤ ^ < L / 2 + 10, the position associated with the position 'is: i3 = {L/2, L/2 + l, ---, fc', ---,fc' +9,^ +10};
当对应功率最大的位置满足 >L-ll时, 所述与位置 '相关的位置为: φ = {0Χ···,^ -L + 9,k' -L + I0;k' -\ k -9,--- ,k ,L-\} 否则,所述与位置 相关的位置为: = μ — 10,fc — 9,'",fc','",fc' + 9,fc' + 10}; 其中, L为所述接收到的时域信号的重复符号长度。 When the position corresponding to the maximum power satisfies >L-ll, the position related to the position ' is: φ = {0Χ···, ^ -L + 9, k' -L + I0; k' -\ k - 9,--- ,k ,L-\} Otherwise, the position-dependent position is: = μ - 10, fc - 9, '", fc', '", fc' + 9, fc' + 10}; where L is the received time The repeat symbol length of the domain signal.
5、根据权利要求 3所述的方法, 其特征在于, 所述位置的相关序列为: 所述对应排列后的相关序列中功率最大的位置的两边各十个相关序列。  The method according to claim 3, wherein the correlation sequence of the position is: each of ten related sequences on both sides of the position with the highest power among the corresponding ranked correlation sequences.
6、 根据权利要求 1所述的方法, 其特征在于, 所述累加排列后的剩余 的相关序列, 并利用累加值获得频率偏差 Δ/ε具体为: 6. The method according to claim 1, wherein the accumulating the remaining related sequences and obtaining the frequency deviation Δ/ ε by using the accumulated value is:
/ =^^=arg(F, 其中 AF为子载波间隔, A = 1/Nr , / =^^= arg ( learn F , where AF is the subcarrier spacing, A = 1/Nr ,
N为子载波数目, Nd为样值数, R为累加后的相关序列。 N is the number of subcarriers, N d is the number of samples, and R is the accumulated correlation sequence.
7、 一种实现小数频偏估计的装置, 其特征在于, 该装置包括预处理模 块、 频域相关模块、 排序模块、 干扰删除模块和频率偏差获取模块, 其中, 预处理模块, 用于将接收到的时域信号变换为频域信号;  7. A device for implementing fractional frequency offset estimation, the device comprising a preprocessing module, a frequency domain correlation module, a sequencing module, an interference deletion module, and a frequency deviation acquisition module, wherein the preprocessing module is configured to receive The time domain signal to be converted into a frequency domain signal;
频域相关模块, 用于接收来自预处理模块变换后的频率信号, 对频域 信号进行频域相关;  a frequency domain correlation module, configured to receive a frequency signal transformed from the preprocessing module, and perform frequency domain correlation on the frequency domain signal;
干扰删除模块, 用于计算并搜索频域相关模块输出的相关序列中对应 功率最大的位置, 删除该位置对应的相关序列以及与该位置相关的预设位 置的相关序列, 将剩余的相关序列输出给频率偏差获取模块;  The interference deletion module is configured to calculate and search for a position corresponding to the highest power in the correlation sequence output by the frequency domain correlation module, delete the correlation sequence corresponding to the position and the correlation sequence of the preset position related to the position, and output the remaining correlation sequence Giving a frequency deviation acquisition module;
频率偏差获取模块, 用于累加排列后的剩余的相关序列, 并利用累加 值获得频率偏差。  The frequency deviation obtaining module is configured to accumulate the remaining related sequences after the arrangement, and obtain the frequency deviation by using the accumulated value.
8、根据权利要求 7所述的装置, 其特征在于, 该装置还包括排序模块, 设置在频域相关模块和干扰删除模块之间, 用于按照频率从小到大的顺序, 对来自频域相关模块输出的相关序列进行排列, 并将排序后的相关序列输 出给干扰删除模块。  The device according to claim 7, further comprising a sorting module disposed between the frequency domain correlation module and the interference deletion module, configured to correlate from the frequency domain according to a frequency from small to large The relevant sequences output by the module are arranged, and the sorted related sequences are output to the interference deletion module.
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