CN101562590B - OFDM signal intelligent receiving system and receiving method - Google Patents
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Abstract
本发明公开了一种OFDM信号智能接收系统及接收方法,主要解决现有智能接收技术难以识别OFDM信号与高阶方形QAM信号的问题。其接收过程是:(1)对捕获的信号进行预处理和下变频,得到基带信号;(2)对基带信号的带宽进行估计;(3)以信号带宽4倍频率对基带信号进行采样;(4)对采样后的信号使用多层小波分解提取特征向量,并与理论值进行比较识别OFDM信号;(5)在判别是OFDM信号的情况下,估计出OFDM信号的符号长度、循环前缀长度等参数,实现符号同步;并对OFDM信号进行子载波调制方式识别和解调。本发明能够有效识别OFDM信号,并对OFDM信号的参数进行估计,可用多体制通信环境中OFDM信号的智能接收。
The invention discloses an OFDM signal intelligent receiving system and a receiving method, which mainly solves the problem that the existing intelligent receiving technology is difficult to identify the OFDM signal and the high-order square QAM signal. The receiving process is: (1) preprocessing and down-converting the captured signal to obtain the baseband signal; (2) estimating the bandwidth of the baseband signal; (3) sampling the baseband signal at a frequency four times the signal bandwidth; ( 4) Use multi-layer wavelet decomposition to extract the eigenvector of the sampled signal, and compare it with the theoretical value to identify the OFDM signal; (5) In the case of identifying the OFDM signal, estimate the symbol length and cyclic prefix length of the OFDM signal, etc. Parameters to achieve symbol synchronization; and identify and demodulate subcarrier modulation modes for OFDM signals. The invention can effectively identify the OFDM signal, estimate the parameters of the OFDM signal, and can intelligently receive the OFDM signal in a multi-system communication environment.
Description
技术领域 technical field
本发明属于通信技术领域,具体涉及OFDM信号接收方法。可用于在未知通信体制的情况下对OFDM信号进行识别和参数估计。The invention belongs to the technical field of communication, and in particular relates to an OFDM signal receiving method. It can be used for identification and parameter estimation of OFDM signals in the case of unknown communication system.
背景技术 Background technique
近几年来,随着数字通信技术和数字信号处理技术的发展,各种通信模式越来越多,无线通信的环境日益复杂。在许多应用中都需要监视通信信号的活动情况,区分信号的性质,甚至截获信号的内容,通信接收机应该具有越来越强的参数识别能力,这都离不开通信信号的智能接收技术。In recent years, with the development of digital communication technology and digital signal processing technology, there are more and more various communication modes, and the environment of wireless communication is becoming increasingly complex. In many applications, it is necessary to monitor the activity of the communication signal, distinguish the nature of the signal, and even intercept the content of the signal. The communication receiver should have stronger and stronger parameter identification capabilities, which are inseparable from the intelligent receiving technology of the communication signal.
1992年5月,MILTRE公司的Joseph Mitola首次明确提出了软件无线电的概念。即构造一个具有开放性、标准化、模块化的通用硬件平台,将各种功能,如工作频段、调制解调类型、数据格式、加密模式、通信协议等用软件来完成,并使宽带A/D和D/A转换器尽可能靠近天线,以研制出具有高度灵活性、开放性的新一代无线通信系统。一般是以一个具有通用性的标准化和模块化的硬件平台为依托,通过软件编程来实现无线电台的各种功能。软件无线电强调体系结构的开放性和全面可编程性,通过软件的更新改变硬件配置结构,实现不同的功能。In May 1992, Joseph Mitola of MILTRE company clearly proposed the concept of software radio for the first time. That is to construct an open, standardized, and modular general-purpose hardware platform, and use software to complete various functions, such as working frequency bands, modulation and demodulation types, data formats, encryption modes, and communication protocols, and make broadband A/D And the D/A converter is as close as possible to the antenna, in order to develop a new generation of wireless communication system with high flexibility and openness. Generally, it is based on a standardized and modular hardware platform with versatility, and realizes various functions of the radio station through software programming. Software radio emphasizes the openness and comprehensive programmability of the architecture, and changes the hardware configuration structure through software updates to achieve different functions.
以正交频分复用OFDM为代表的多载波调制技术广泛应用于现代通信系统,例如基于802.11a/g的WLAN系统、数字视频广播DVB_T系统和基于802.16的WMAN系统等。接收机为了识别通信模式,首先将信号区分为单载波信号和多载波信号,然后估计信号参数,根据信号参数识别通信模式。如果基于OFDM的通信模式是未知的,接收机需要识别OFDM系统的参数,以实现后续监测、解调等目的。Multi-carrier modulation technology represented by Orthogonal Frequency Division Multiplexing (OFDM) is widely used in modern communication systems, such as WLAN systems based on 802.11a/g, digital video broadcasting DVB_T systems and WMAN systems based on 802.16, etc. In order to identify the communication mode, the receiver first distinguishes the signal into single carrier signal and multi-carrier signal, then estimates the signal parameters, and identifies the communication mode according to the signal parameters. If the communication mode based on OFDM is unknown, the receiver needs to identify the parameters of the OFDM system to achieve subsequent monitoring, demodulation and other purposes.
信号的智能接收包括信号捕获、载波估计、波特率估计、信号识别和参数估计等。目前文献对OFDM智能接收技术的研究并没有具体实现流程,无法实现对OFDM信号的智能接收。The intelligent reception of signals includes signal acquisition, carrier estimation, baud rate estimation, signal identification and parameter estimation, etc. At present, there is no specific implementation process for the research on OFDM intelligent reception technology in the literature, and it is impossible to realize the intelligent reception of OFDM signals.
对于信号智能接收系统中的信号波特率估计单元。现有的波特率估计方法可以分为基于信号循环平稳特性的时域波特率估计和基于信号FFT变换的频域波特率估计,主要针对单载波信号进行波特率估计。在信号的智能接收中,需要进行信号波特率估计时,信号的类型是先验未知的。如果接收到的是OFDM信号,现有的波特率估计算法就会无效。For the signal baud rate estimation unit in the signal intelligent receiving system. The existing baud rate estimation methods can be divided into time-domain baud rate estimation based on signal cyclostationary characteristics and frequency-domain baud rate estimation based on signal FFT transformation, mainly for single-carrier signal baud rate estimation. In the intelligent reception of signals, when it is necessary to estimate the baud rate of the signal, the type of the signal is unknown a priori. If an OFDM signal is received, the existing baud rate estimation algorithm will be invalid.
对于信号智能接收中OFDM与单载波的信号识别。W.Akmouche在文献”Detection of multicarrier modulations using 4th-order cumulants”中首次提出了利用4阶累积量在加性高斯白噪声(AWGN)信道下OFDM和单载波的信号识别方法。Bin Wang,Lindong Ge在文献”Blind Identification of OFDM Signal in RayleighChannels”中将利用高阶累积量对OFDM进行信号识别的方法推广到瑞利衰落信道,并获得了很好的识别效果。但是利用高阶累积量对OFDM进行识别,无法区分OFDM信号和单载波中的高阶方形QAM信号。For signal identification of OFDM and single carrier in intelligent signal reception. In the document "Detection of multicarrier modulations using 4th-order cumulants", W.Akmouche first proposed the signal identification method of OFDM and single carrier using 4th-order cumulant in additive white Gaussian noise (AWGN) channel. In the document "Blind Identification of OFDM Signal in Rayleigh Channels", Bin Wang and Lindong Ge extended the method of using high-order cumulants to identify OFDM signals to Rayleigh fading channels, and achieved good identification results. However, using high-order cumulants to identify OFDM cannot distinguish OFDM signals from high-order square QAM signals in a single carrier.
发明内容 Contents of the invention
本发明的目的在于解决现有技术中的不足,提出一种OFDM智能接收系统及其接收方法,以实现对OFDM信号的接收和参数估计,并区分OFDM信号和包括高阶方形QAM信号在内的单载波信号。The purpose of the present invention is to solve the deficiencies in the prior art, to propose an OFDM intelligent receiving system and its receiving method, to realize the reception and parameter estimation of OFDM signals, and to distinguish OFDM signals from those including high-order square QAM signals single carrier signal.
实现本发明目的的技术方案是结合小波分解、重构和傅立叶变换进行波特率估计,利用多层小波分解进行OFDM信号识别。其系统包括:The technical solution for realizing the purpose of the present invention is to combine wavelet decomposition, reconstruction and Fourier transform to estimate baud rate, and utilize multi-layer wavelet decomposition to perform OFDM signal recognition. Its systems include:
信号捕获单元,用于对信号进行捕获接收;a signal capturing unit, configured to capture and receive signals;
预处理单元,用于对接收到的信号进行滤波、放大和A/D变换预处理;A preprocessing unit is used for filtering, amplifying and A/D conversion preprocessing on the received signal;
载波估计、下变频单元,用于对经过预处理后的信号进行载波频率估计和下变频,得到基带信号S(n);Carrier estimation and down-conversion unit, used for carrier frequency estimation and down-conversion to the preprocessed signal, to obtain baseband signal S(n);
带宽估计单元,用于对基带信号S(n)的进行带宽估计,并将估计结果W传给后继采样单元、OFDM参数估计单元和OFDM信号解调单元;A bandwidth estimation unit is used to estimate the bandwidth of the baseband signal S (n), and pass the estimation result W to the subsequent sampling unit, the OFDM parameter estimation unit and the OFDM signal demodulation unit;
采样单元,用于对基带信号S(n)进行采样,得到4倍过采样基带信号S′(n)The sampling unit is used to sample the baseband signal S(n) to obtain a 4 times oversampled baseband signal S'(n)
OFDM信号识别单元,用于根据4倍过采样基带信号S′(n)判别接收信号为OFDM信号或单载波信号;The OFDM signal identification unit is used to distinguish the received signal as an OFDM signal or a single carrier signal according to the 4 times oversampled baseband signal S'(n);
OFDM信号参数估计单元,用于在判别接收信号为OFDM信号的情况下,根据基带信号S(n)和估计的信号带宽W,估计OFDM子载波个数N、循环前缀长度NG、符号起始位置偏移量θ,根据θ得到符号同步后的OFDM信号S″(n),并将估计的OFDM子载波个数N、循环前缀长度NG传给后继OFDM信号解调单元;The OFDM signal parameter estimation unit is used to estimate the number of OFDM subcarriers N, cyclic prefix length N G , and symbol start according to the baseband signal S(n) and the estimated signal bandwidth W under the condition that the received signal is judged to be an OFDM signal Position offset θ, obtain the OFDM signal S "(n) after symbol synchronization according to θ, and pass the estimated OFDM subcarrier number N and cyclic prefix length N to the subsequent OFDM signal demodulation unit;
OFDM信号解调单元,用于在判别接收信号为OFDM信号的情况下,根据估计的OFDM子载波个数N、循环前缀长度NG和信号带宽W,对符号同步后的OFDM信号S″(n)进行子载波调制方式识别和解调。 The OFDM signal demodulation unit is used to judge the OFDM signal S "(n ) to identify and demodulate subcarrier modulation modes.
本发明的OFDM信号智能接收方法,包括如下步骤:OFDM signal intelligent receiving method of the present invention, comprises the steps:
(1)捕获监测频段内的信号,并对捕获的信号进行滤波、放大和A/D变换预处理;(1) Capture the signal in the monitoring frequency band, and perform filtering, amplification and A/D conversion preprocessing on the captured signal;
(2)对预处理后的接收信号进行载波估计和下变频处理,得到基带信号S(n);(2) Carrier estimation and down-conversion processing are performed on the preprocessed received signal to obtain the baseband signal S(n);
(3)对基带信号S(n)通过傅立叶变换得到基带信号频谱,使用Haar小波分解和小波重构,滤去基带信号频谱中的细节分量得到阶跃型基带信号频谱,使用统计方法判断该信号频谱的边沿位置,得到信号带宽W;(3) Obtain the baseband signal spectrum by Fourier transform for the baseband signal S(n), use Haar wavelet decomposition and wavelet reconstruction to filter out the detailed components in the baseband signal spectrum to obtain a step-type baseband signal spectrum, and use statistical methods to judge the signal The edge position of the spectrum to get the signal bandwidth W;
(4)对基带信号S(n)按估计信号带宽W的4倍进行过采样,得到4倍过采样基带信号S′(n);(4) oversampling the baseband signal S(n) by 4 times the estimated signal bandwidth W, to obtain a 4 times oversampling baseband signal S'(n);
(5)对S′(n)通过多层小波分解提取特征向量,计算该特征向量与OFDM信号特征向量理论值的欧氏距离,将此距离与门限进行比较,当距离小于门限时,判别接收信号为OFDM信号,当距离大于门限时,判别接收信号为单载波信号;(5) Extract the eigenvector of S′(n) through multi-layer wavelet decomposition, calculate the Euclidean distance between the eigenvector and the theoretical value of the OFDM signal eigenvector, compare the distance with the threshold, and when the distance is less than the threshold, the discrimination reception The signal is an OFDM signal, and when the distance is greater than the threshold, it is judged that the received signal is a single-carrier signal;
(6)在判别信号为OFDM信号的情况下,根据基带信号S(n)和估计的信号带宽W,估计OFDM子载波个数N、循环前缀长度NG和符号起始位置偏移量θ,根据θ的估计结果得到符号同步后的OFDM基带信号S″(n),并将估计的信号带宽W作为OFDM信号的样值速率;(6) In the case that the discrimination signal is an OFDM signal, according to the baseband signal S(n) and the estimated signal bandwidth W, estimate the number N of OFDM subcarriers, the length of the cyclic prefix N G and the offset θ of the symbol start position, Obtain the OFDM baseband signal S " (n) after symbol synchronization according to the estimation result of θ, and the signal bandwidth W of estimation is as the sample value rate of OFDM signal;
(7)在判别信号为OFDM信号的情况下,根据估计的OFDM子载波个数N、循环前缀长度NG、样值速率W和符号同步后的OFDM基带信号S″(n),对OFDM基带信号进行子载波调制识别和解调。(7) In the case that the discrimination signal is an OFDM signal, according to the estimated number of OFDM subcarriers N, the cyclic prefix length N G , the sampling rate W and the OFDM baseband signal S″(n) after symbol synchronization, the OFDM baseband The signal undergoes subcarrier modulation identification and demodulation.
本发明与现有技术相比具有以下优点:Compared with the prior art, the present invention has the following advantages:
1、本发明结合傅立叶变换与Haar小波分解,通过估计信号带宽,能够对单载波信号与OFDM信号进行波特率估计。1. The present invention combines Fourier transform and Haar wavelet decomposition, and can estimate the baud rate of single-carrier signals and OFDM signals by estimating the signal bandwidth.
2、本发明由于采用多层小波分解进行OFDM信号识别,克服了高阶累积量无法区分OFDM信号与高阶方形QAM信号的缺点;2. The present invention overcomes the shortcoming that high-order cumulants cannot distinguish OFDM signals and high-order square QAM signals due to the use of multi-layer wavelet decomposition for OFDM signal identification;
3、本发明的接收方法不需要先验信息,可用于OFDM信号的智能接收。3. The receiving method of the present invention does not require prior information, and can be used for intelligent reception of OFDM signals.
附图说明 Description of drawings
图1是本发明的系统框图;Fig. 1 is a system block diagram of the present invention;
图2是本发明的接收方法流程图;Fig. 2 is a flow chart of the receiving method of the present invention;
图3是本发明接收方法中的信号带宽估计子流程图;Fig. 3 is a subflow chart of signal bandwidth estimation in the receiving method of the present invention;
图4是本发明接收方法中的OFDM信号识别子流程图。Fig. 4 is a sub-flow chart of OFDM signal identification in the receiving method of the present invention.
具体实施方式 Detailed ways
参照图1,本发明的OFDM信号智能接收系统,包括:信号捕获单元、信号预处理单元、载波估计和下变频单元、信号带宽估计单元、采样单元、OFDM信号识别单元、OFDM参数估计单元和OFDM信号解调单元。信号捕获单元对监测频段内的信号能量进行检测,当信号能量大于一定门限时,对信号进行捕获接收,将接收信号送入信号预处理单元。信号预处理单元对信号捕获单元接收的信号进行滤波、放大和A/D变换预处理,将经过预处理后的信号送入载波估计、下变频单元。载波估计、下变频单元对经过预处理后的信号进行载波频率估计和下变频,得到基带信号S(n),并将S(n)送入信号带宽估计单元。信号带宽估计单元对基带信号S(n)的进行带宽估计,得到估计结果W,并将基带信号S(n)和估计的信号带宽W传给后继采样单元、OFDM参数估计单元和OFDM信号解调单元。采样单元对基带信号S(n)进行采样,采样频率为估计的信号带宽W的4倍,得到4倍过采样的基带信号S′(n),并将S′(n)传给OFDM信号识别单元。OFDM信号识别单元根据4倍过采样的基带信号S′(n),判别信号S′(n)是否为OFDM信号,并将判决结果和基带信号S(n)传给OFDM信号同步和参数估计单元。OFDM信号参数估计单元在OFDM信号识别单元判别接收信号为OFDM信号的情况下,根据基带信号S(n)和估计的带宽W,估计OFDM子载波个数N、循环前缀长度NG和符号起始位置偏移量θ,根据θ得到符号同步后的OFDM信号S″(n),并将信号S″(n)和估计的OFDM子载波个数N、循环前缀长度NG传给后继OFDM信号解调单元。OFDM信号解调单元在OFDM信号识别单元判别接收信号为OFDM信号的情况下,根据OFDM信号参数估计单元估计的OFDM子载波个数N、循环前缀长度NG和信号带宽估计单元估计的信号带宽W,对符号同步后的OFDM信号S″(n)进行子载波调制方式识别和解调。Referring to Fig. 1, the OFDM signal intelligent receiving system of the present invention includes: a signal acquisition unit, a signal preprocessing unit, a carrier estimation and a down-conversion unit, a signal bandwidth estimation unit, a sampling unit, an OFDM signal identification unit, an OFDM parameter estimation unit and an OFDM Signal demodulation unit. The signal capture unit detects the signal energy in the monitoring frequency band, and when the signal energy is greater than a certain threshold, captures and receives the signal, and sends the received signal to the signal preprocessing unit. The signal preprocessing unit performs filtering, amplification and A/D conversion preprocessing on the signal received by the signal acquisition unit, and sends the preprocessed signal to the carrier estimation and frequency down conversion unit. The carrier estimation and down-conversion unit performs carrier frequency estimation and down-conversion on the preprocessed signal to obtain the baseband signal S(n), and sends S(n) to the signal bandwidth estimation unit. The signal bandwidth estimation unit estimates the bandwidth of the baseband signal S(n), obtains the estimation result W, and transmits the baseband signal S(n) and the estimated signal bandwidth W to the subsequent sampling unit, OFDM parameter estimation unit and OFDM signal demodulation unit. The sampling unit samples the baseband signal S(n), the sampling frequency is 4 times the estimated signal bandwidth W, obtains the 4 times oversampled baseband signal S'(n), and passes S'(n) to the OFDM signal identification unit. The OFDM signal identification unit judges whether the signal S'(n) is an OFDM signal according to the 4 times oversampled baseband signal S'(n), and transmits the judgment result and the baseband signal S(n) to the OFDM signal synchronization and parameter estimation unit . The OFDM signal parameter estimation unit estimates the number N of OFDM subcarriers, the length of the cyclic prefix N G and the start of the symbol according to the baseband signal S(n) and the estimated bandwidth W under the condition that the OFDM signal identification unit judges that the received signal is an OFDM signal The position offset θ, according to θ, the OFDM signal S″(n) after symbol synchronization is obtained, and the signal S″(n), the estimated number of OFDM subcarriers N, and the cyclic prefix length N G are passed to the subsequent OFDM signal solution tune unit. OFDM signal demodulation unit is under the situation that OFDM signal identification unit distinguishes received signal as OFDM signal, according to OFDM subcarrier number N estimated by OFDM signal parameter estimation unit, cyclic prefix length N G and the signal bandwidth W estimated by signal bandwidth estimation unit , performing subcarrier modulation identification and demodulation on the symbol-synchronized OFDM signal S″(n).
参照图2,本发明的OFDM信号智能接收方法,包括如下步骤:With reference to Fig. 2, OFDM signal intelligent receiving method of the present invention, comprises the steps:
步骤1,对捕获的信号进行预处理。Step 1, preprocessing the captured signal.
对监测频段内的信号能量进行检测,当信号能量超过一定门限时,对信号进行捕获接收,并对接收到的信号进行滤波、放大和A/D变换预处理。The signal energy in the monitoring frequency band is detected, and when the signal energy exceeds a certain threshold, the signal is captured and received, and the received signal is filtered, amplified and A/D converted for preprocessing.
步骤2,对预处理后的接收信号进行载波估计和下变频处理,得到基带信号S(n)。Step 2, performing carrier estimation and down-conversion processing on the preprocessed received signal to obtain a baseband signal S(n).
步骤3,估计基带信号S(n)的信号带宽W。Step 3, estimate the signal bandwidth W of the baseband signal S(n).
参照图3,估计基带信号S(n)的信号带宽W的步骤如下:With reference to Fig. 3, the step of the signal bandwidth W of estimation baseband signal S (n) is as follows:
(3a)对接收到的基带信号S(n)进行分组,将其分为M组,每组内再分为N小组;(3a) group the received baseband signal S(n), divide it into M groups, and divide it into N subgroups in each group;
(3b)对第i(1≤i≤M)组中第j(1≤j≤N)小组基带信号进行傅立叶变换得到基带信号频谱Si,j(f);(3b) performing Fourier transform on the baseband signal of the jth (1≤j≤N) subgroup in the ith (1≤i≤M) group to obtain the baseband signal spectrum S i, j (f);
(3c)对基带信号频谱Si,j(f)进行n(n≥1)层Haar小波分解,得到小波分解系数向量T。(3c) Perform n (n≥1) layers of Haar wavelet decomposition on the baseband signal spectrum S i,j (f), and obtain the wavelet decomposition coefficient vector T.
(3d)保持系数向量T中的近似分量不变,将细节分量置0,以滤去基带信号频谱中的细节分量,得到用于小波重构的系数向量T′。(3d) Keep the approximate components in the coefficient vector T unchanged, and set the detail components to 0 to filter out the detail components in the baseband signal spectrum, and obtain the coefficient vector T' for wavelet reconstruction.
(3e)根据所述的系数向量T′对信号频谱进行Haar小波重构,得到重构后的阶跃型基带信号频谱。在步骤(3c)和(3d)中,若小波分解层数n过低,高频系数置0进行小波重构后的信号频谱不够平滑,难以进行边沿检测,若小波分解层数n过高,高频系数置0进行小波重构后的分辨率很低,通过选取合适的分解层数能够消除频谱中的高频细节同时具有较高的分辨率,本实例选择小波分解层数n=6。(3e) Perform Haar wavelet reconstruction on the signal spectrum according to the coefficient vector T′ to obtain the reconstructed step-type baseband signal spectrum. In steps (3c) and (3d), if the number of wavelet decomposition layers n is too low, the signal spectrum after wavelet reconstruction with high-frequency coefficients set to 0 is not smooth enough to perform edge detection; if the number of wavelet decomposition layers n is too high, The resolution of wavelet reconstruction after high-frequency coefficients are set to 0 is very low. By selecting an appropriate number of decomposition layers, high-frequency details in the spectrum can be eliminated and high resolution can be obtained. In this example, the number of wavelet decomposition layers n=6 is selected.
(3f)对第i组信号得到的N个阶跃型基带信号频谱S′i,j(f)(1≤j≤N)进行统计平均,得到统计平均后的频谱S′i(f),该频谱S′i(f)中相邻值相差最大的位置为最陡变化位置;(3f) Statistically average the N step-type baseband signal spectra S' i, j (f) (1≤j≤N) obtained by the i-th group of signals, and obtain the statistically averaged spectrum S' i (f), The position where the difference between adjacent values is the largest in the frequency spectrum S' i (f) is the steepest change position;
(3g)查找所述S′i(f)的两个最陡变化位置,作为第i组信号的频谱边沿位置;(3g) Find the two steepest changing positions of the S' i (f), as the spectral edge positions of the i-th group of signals;
(3h)统计M组信号的频谱边沿位置,以统计数值最高的两个位置之间的带宽作为估计的信号带宽W。(3h) Count the spectrum edge positions of the M groups of signals, and use the bandwidth between the two positions with the highest statistical value as the estimated signal bandwidth W.
步骤4,对基带信号S(n)进行采样。Step 4, sampling the baseband signal S(n).
以信号带宽W的4倍作为采样频率,对基带信号S(n)进行采样,得到4倍过采样的基带信号S′(n)。Taking 4 times the signal bandwidth W as the sampling frequency, the baseband signal S(n) is sampled to obtain a 4 times oversampled baseband signal S'(n).
步骤5,判别4倍过采样的基带信号S′(n)是否为OFDM信号。Step 5, judging whether the 4 times oversampled baseband signal S'(n) is an OFDM signal.
参照图4,判别4倍过采样的基带信号S′(n)是否为OFDM信号的步骤如下:With reference to Fig. 4, the step of discriminating whether the baseband signal S' (n) of 4 times oversampling is OFDM signal is as follows:
(5a)对4倍过采样的基带信号S′(n)使用多层小波分解构造分类特征向量:(5a) Use multi-layer wavelet decomposition to construct the classification feature vector for the 4 times oversampled baseband signal S′(n):
其中,C是对特征向量值的幅度进行调整的参数,本实例选择C=100,Among them, C is a parameter to adjust the magnitude of the eigenvector value, and this example selects C=100,
api代表信号第i层小波分解的近似部分能量,定义如下:ap i represents the approximate partial energy of the wavelet decomposition of the i-th layer of the signal, defined as follows:
dei代表信号第i层小波分解的细节部分能量,定义如下:de i represents the energy of the detail part of the wavelet decomposition of the i-th layer of the signal, defined as follows:
由于OFDM信号的能量在频带内呈均匀分布,其特征向量x的理论值为
(5b)计算特征向量x与OFDM信号特征向量理论值M的欧氏距离D:(5b) Calculate the Euclidean distance D between the eigenvector x and the theoretical value M of the OFDM signal eigenvector:
其中xl为特征向量x第l维数值,ml为特征向量M第l维数值;Among them, x l is the value of the lth dimension of the feature vector x, and m l is the value of the lth dimension of the feature vector M;
(5c)对单载波信号训练样本按步骤(5a)提取特征向量,计算特征向量与理论值M欧氏距离DSC,并统计DSC的概率分布p(DSC);对OFDM信号训练样本按步骤(5a)提取特征向量,计算特征向量与理论值M欧氏距离DOFDM,并统计DOFDM的概率分布p(DOFDM),根据p(DSC)和p(DOFDM)按照最大似然检测准则设定判决门限,此门限也可依据经验设定,本实例中门限设定为33。(5c) Extract the eigenvector according to step (5a) for the single-carrier signal training sample, calculate the Euclidean distance D SC between the eigenvector and the theoretical value M, and count the probability distribution p(D SC ) of D SC ; for the OFDM signal training sample, press Step (5a) extracts the feature vector, calculates the Euclidean distance D OFDM between the feature vector and the theoretical value M, and counts the probability distribution p(D OFDM ) of D OFDM , according to p(D SC ) and p(D OFDM ) according to the maximum likelihood The detection criterion sets the judgment threshold, which can also be set based on experience, and the threshold is set to 33 in this example.
(5d)将D与判决门限比较,当D小于判决门限时,判别为OFDM信号,当D大于判决门限时,判别为单载波信号。(5d) Comparing D with the decision threshold, when D is smaller than the decision threshold, it is judged as an OFDM signal, and when D is greater than the decision threshold, it is judged as a single-carrier signal.
步骤6,在接收信号被判别为OFDM信号的情况下,对基带信号S(n)进行参数估计。Step 6, in the case that the received signal is judged as an OFDM signal, perform parameter estimation on the baseband signal S(n).
在接收信号被判别为OFDM信号的情况下,对基带信号S(n)的参数估计包括OFDM子载波个数N、循环前缀长度NG和符号起始位置偏移量θ,其步骤如下:In the case that the received signal is identified as an OFDM signal, the parameter estimation of the baseband signal S(n) includes the number N of OFDM subcarriers, the length N G of the cyclic prefix and the offset θ of the symbol starting position, and the steps are as follows:
(6a)OFDM信号的符号具有循环前缀结构,循环前缀是有效数据末尾的复制,所以它们之间存在相关性。如果计算接收数据的自相关,当循环前缀和它的复制源进行相关运算时,得到峰值。所以能够使用一种可变相关长度的自相关算法进行有效数据长度估计:(6a) The symbols of the OFDM signal have a cyclic prefix structure, and the cyclic prefix is a copy of the end of the valid data, so there is a correlation between them. If the autocorrelation of the received data is computed, the peak value is obtained when the cyclic prefix is correlated with its replicating source. Therefore, an autocorrelation algorithm with variable correlation length can be used to estimate the effective data length:
其中R(□)代表求自相关,Δ代表数据位置偏移量,E[□]代表求数学期望,S(n)代表基带时域信号,σs和σw分别代表信号能量和噪声能量。ND代表以采样点数表示的OFDM信号数据域长度,Ω代表信号采样点的集合。Among them, R(□) represents autocorrelation, Δ represents data position offset, E[□] represents mathematical expectation, S(n) represents baseband time domain signal, σ s and σ w represent signal energy and noise energy, respectively. N D represents the length of the OFDM signal data domain represented by the number of sampling points, and Ω represents the collection of signal sampling points.
对ND的估计可以记作:The estimate of ND can be written as:
估计结果是以采样点数表示的OFDM信号有效数据区长度;子载波个数
(6b)实际系统中OFDM信号子载波个数一般在集合S={2n|n为正整数}内取值,将步骤(6a)估计的结果修正为
(6c)为了对接收的OFDM信号进行解调,需要估计符号起始位置偏移量以完成OFDM符号同步。在有些系统中OFDM信号的循环前缀长度是可选的,需要对OFDM信号的循环前缀长度进行估计。本发明使用一种最大似然估计算法对循环前缀长度NG和符号起始位置偏移量θ进行估计,似然函数如下:(6c) In order to demodulate the received OFDM signal, it is necessary to estimate the symbol start position offset to complete OFDM symbol synchronization. In some systems, the cyclic prefix length of the OFDM signal is optional, and the cyclic prefix length of the OFDM signal needs to be estimated. The present invention uses a maximum likelihood estimation algorithm to estimate the cyclic prefix length N G and the symbol starting position offset θ, and the likelihood function is as follows:
式中,S代表基带信号向量,S[□]代表基带信号,集合Ω为OFDM信号中循环前缀区的数据集合,集合Ω′为OFDM信号中被复制到循环前缀区的有效数据集合。假设S具有联合高斯分布,对似然函数进行简化的最终结果如下:In the formula, S represents the baseband signal vector, S[□] represents the baseband signal, the set Ω is the data set of the cyclic prefix area in the OFDM signal, and the set Ω′ is the effective data set copied to the cyclic prefix area in the OFDM signal. Assuming that S has a joint Gaussian distribution, the final result of simplifying the likelihood function is as follows:
式中,S代表基带信号向量,S[□]代表基带信号,代表向下取整,*代表取复共轭。In the formula, S represents the baseband signal vector, S[□] represents the baseband signal, Represents rounding down, * represents complex conjugate.
根据简化的似然函数和步骤(6b)中修正后的估计结果,循环前缀长度NG和符号起始位置偏移量θ的估计按下式进行:According to the simplified likelihood function and the revised estimate in step (6b) , the cyclic prefix length N G and the symbol start position offset θ are estimated as follows:
式中,S代表基带信号向量,S[□]代表基带信号,代表向下取整,*代表取复共轭。In the formula, S represents the baseband signal vector, S[□] represents the baseband signal, Represents rounding down, * represents complex conjugate.
通常,循环前缀长度NG为ND的某些倍数。例如,在802.16系统中,可以得到的长度为ND的1/4,1/8,1/16,1/32。因此,上式中的取值可以限定在的1/2,1/4,1/8,1/16,1/32这些倍数范围内。根据θ的估计结果得到符号同步后的OFDM基带信号S”(n)。Typically, the cyclic prefix length NG is some multiple of ND . For example, in the 802.16 system, the available lengths are 1/4, 1/8, 1/16, and 1/32 of ND . Therefore, in the above formula The value of can be limited to 1/2, 1/4, 1/8, 1/16, 1/32 of these multiples range. According to the estimation result of θ, the OFDM baseband signal S"(n) after symbol synchronization is obtained.
步骤7,在接收信号被判别为OFDM信号的情况下,对符号同步后的OFDM信号S″(n)进行子载波调制识别和解调。Step 7: When the received signal is judged as an OFDM signal, perform subcarrier modulation identification and demodulation on the symbol-synchronized OFDM signal S″(n).
基带信号S(n)的采样频率fs是已知的,将步骤3估计的信号带宽W作为OFDM信号的样值速率,根据步骤6估计的OFDM子载波个数N、循环前缀长度NG,对符号同步后的OFDM信号S″(n)进行傅立叶变换得到子载波调制数据。根据子载波调制数据的高阶累积量构造特征向量对子载波调制方式进行识别,根据识别的子载波调制方式对调制数据进行解调。The sampling frequency f s of the baseband signal S(n) is known, and the signal bandwidth W estimated in step 3 is taken as the sample rate of the OFDM signal, and according to the number N of OFDM subcarriers estimated in step 6, and the cyclic prefix length N G , Carry out Fourier transform to the OFDM signal S″(n) after symbol synchronization to obtain the subcarrier modulation data. According to the high-order cumulant of the subcarrier modulation data, the eigenvector is constructed to identify the subcarrier modulation method, and according to the identified subcarrier modulation method, the The modulated data is demodulated.
对OFDM信号子载波调制方式的识别步骤如下:The identification steps of OFDM signal subcarrier modulation mode are as follows:
(7a)本实例OFDM信号子载波调制方式在集合{BPSK、QPSK、16QAM}中选择,对OFDM子载波调制数据进行能量归一化,得到信号x(n);(7a) In this example, the OFDM signal subcarrier modulation mode is selected in the set {BPSK, QPSK, 16QAM}, and energy normalization is performed on the OFDM subcarrier modulation data to obtain the signal x(n);
(7b)对能量归一化后的OFDM子载波信号x(n),根据下式构造特征向量Fr:(7b) For the energy-normalized OFDM subcarrier signal x(n), construct the eigenvector F r according to the following formula:
设Mpq=E[x(n)p-q(x(n)*)q],E[□]代表求数学期望,上式中:Let M pq =E[x(n) pq (x(n) * ) q ], E[□] represents the mathematical expectation, in the above formula:
Mean(□)代表求均值;Mean(□) represents mean value;
Cx,41=M41-3M21M20 C x,41 =M 41 -3M 21 M 20
(7c)对步骤(7b)得到的OFDM子载波调制数据的特征向量Fr根据下式进行判决:(7c) the eigenvector F r of the OFDM subcarrier modulation data that step (7b) obtains is judged according to the following formula:
式中Mk代表信号的调制方式,M1,M2,M3分别代表BPSK,QPSK,16QAM三种调制方式,代表调制方式为Mk的信号对应的特征向量理论值,代表估计的信号调制方式,M1,M2,M3三种调制方式对应的特征向量理论值如下表1:In the formula, M k represents the modulation mode of the signal, M 1 , M 2 , and M 3 represent the three modulation modes of BPSK, QPSK, and 16QAM respectively. Represents the theoretical value of the eigenvector corresponding to the signal whose modulation mode is M k , Represents the estimated signal modulation mode, and the theoretical values of the eigenvectors corresponding to the three modulation modes of M 1 , M 2 , and M 3 are shown in Table 1:
表1M1,M2,M3三种调制方式对应的特征向量理论值Table 1 Theoretical values of eigenvectors corresponding to the three modulation modes of M 1 , M 2 , and M 3
本发明的优点可以通过以下仿真性能说明:The advantages of the present invention can be illustrated by the following simulation performance:
1.对步骤3所描述的带宽估计方法仿真1. Simulation of the bandwidth estimation method described in step 3
(1a)仿真条件及内容(1a) Simulation conditions and content
仿真采用的信号类型:OFDM、BPSK、QPSK、16QAM、64QAM,其中OFDM信号子载波个数为64,循环前缀长度为16,单载波信号使用滚降系数为0.5的升余弦滚降滤波进行脉冲成型,信号均为8倍过采样基带信号。The signal types used in the simulation: OFDM, BPSK, QPSK, 16QAM, 64QAM, in which the number of subcarriers of the OFDM signal is 64, the length of the cyclic prefix is 16, and the single carrier signal uses a raised cosine roll-off filter with a roll-off coefficient of 0.5 for pulse shaping , the signals are all 8 times oversampled baseband signals.
根据步骤3描述的方法估计信号带宽W。对于单载波信号,W等于信号波特率,对于OFDM信号,W等于信号样值速率。在AWGN和多径信道下,使用估计准确率衡量估计性能。Estimate the signal bandwidth W according to the method described in step 3. For a single carrier signal, W is equal to the signal baud rate, and for an OFDM signal, W is equal to the signal sample rate. Under AWGN and multipath channel, estimation accuracy is used to measure estimation performance.
(1b)仿真结果(1b) Simulation results
AWGN信道下和多径信道下,估计正确率仿真结果如表2和表3。Table 2 and Table 3 show the simulation results of estimation accuracy under AWGN channel and multipath channel.
表2AWGN信道下信号带宽估计准确率Table 2 Accuracy of signal bandwidth estimation under AWGN channel
表3多径信道下信号带宽估计准确率Table 3 Accuracy of signal bandwidth estimation under multipath channel
由表2和表3的仿真结果可见,对于OFDM信号,在AWGN信道和多径信道下,信噪比大于0dB时对信号样值速率的估计具有很高的准确率。对于单载波信号,在AWGN信道下,信噪比大于4dB时对波特率估计的准确率在93%以上;在多径信道下,信噪比大于8dB时对波特率估计的准确率在91%以上。It can be seen from the simulation results in Table 2 and Table 3 that for OFDM signals, under AWGN channel and multipath channel, the estimation of the signal sample rate has a high accuracy rate when the signal-to-noise ratio is greater than 0dB. For single-carrier signals, under the AWGN channel, the accuracy rate of baud rate estimation is above 93% when the signal-to-noise ratio is greater than 4dB; More than 91%.
2.对步骤5所描述的OFDM信号识别方法仿真2. Simulation of the OFDM signal identification method described in step 5
(2a)仿真条件及内容(2a) Simulation conditions and content
仿真采用的信号类型:OFDM、BPSK、QPSK、方形16QAM、方形64QAM。其中,OFDM信号子载波个数为64,循环前缀长度为16,单载波信号使用滚降系数为0.5的升余弦滚降滤波进行脉冲成型,信号均为4倍过采样基带信号。The signal types used in the simulation: OFDM, BPSK, QPSK, square 16QAM, square 64QAM. Among them, the number of subcarriers of the OFDM signal is 64, and the length of the cyclic prefix is 16. The single-carrier signal uses a raised cosine roll-off filter with a roll-off coefficient of 0.5 for pulse shaping, and the signals are all 4 times oversampled baseband signals.
根据步骤5所描述的方法,使用多层小波分解提取信号特征向量。取C=100,则OFDM信号特征向量的理论值为M=[50,25,12.5,50,25,12.5]。将接收信号特征向量与OFDM信号特征向量理论值进行比较,计算欧氏距离D。将D与判决门限R进行比较,当D<R时判为OFDM信号,当D>R时判为单载波信号。调节门限R,得到最佳的识别效果。对OFDM信号判决结果为OFDM信号视为一次正确判决,对单载波信号判决结果为非OFDM信号视为一次正确判决。According to the method described in step 5, the signal feature vector is extracted using multi-layer wavelet decomposition. Taking C=100, the theoretical value of the OFDM signal eigenvector is M=[50, 25, 12.5, 50, 25, 12.5]. The Euclidean distance D is calculated by comparing the received signal eigenvector with the theoretical value of the OFDM signal eigenvector. Comparing D with the decision threshold R, when D<R, it is judged as an OFDM signal, and when D>R, it is judged as a single carrier signal. Adjust the threshold R to get the best recognition effect. It is regarded as a correct judgment if the judgment result of the OFDM signal is an OFDM signal, and it is regarded as a correct judgment if the judgment result of a single carrier signal is a non-OFDM signal.
(2b)仿真结果(2b) Simulation results
在AWGN信道和多径信道下得到的识别正确率仿真结果如下表4和表5:The simulation results of recognition accuracy obtained under the AWGN channel and multipath channel are shown in Table 4 and Table 5:
表4AWGN信道下OFDM信号识别正确率Table 4 Correct rate of OFDM signal recognition under AWGN channel
表5多径信道下OFDM信号识别正确率Table 5 Correct rate of OFDM signal recognition under multipath channel
根据表4和表5的仿真结果可见,在AWGN信道下,当信噪比高于0dB时,正确识别率在94%以上;在多径信道下,当信噪比在4dB以上时,正确识别概率在96%以上。According to the simulation results in Table 4 and Table 5, it can be seen that under the AWGN channel, when the SNR is higher than 0dB, the correct recognition rate is above 94%; under the multipath channel, when the SNR is above 4dB, the correct recognition rate The probability is above 96%.
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