CN115453477B - Method for canceling multipath clutter in external radiation source radar monitoring channel signal - Google Patents
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Abstract
本发明公开了一种外辐射源雷达监视通道信号中多径杂波的对消方法,包括:利用外辐射源雷达的参考通道和监视通道分别获得参考信号和监视信号;对所述参考信号和所述监视信号进行下变频处理,获得下变频后的基带参考信号和基带监视信号;利用所述基带参考信号和所述基带监视信号估计监视通道中多径杂波信号的个数;根据所估计的多径杂波信号的个数,利用正交匹配追踪法对多径杂波信号进行稀疏匹配对消,获得多径杂波稀疏系数;利用所述多径杂波稀疏系数对多径杂波进行稀疏匹配对消,获得多径杂波对消后的信号。本发明杂波滤波矩阵的维度仅与监视通道信包含的多径杂波数量有关,因此可以大幅降低求解稀疏匹配系数的复杂度,提高计算效率。
The present invention discloses a method for canceling multipath clutter in a monitoring channel signal of an external radiation source radar, comprising: using a reference channel and a monitoring channel of the external radiation source radar to obtain a reference signal and a monitoring signal respectively; performing down-conversion processing on the reference signal and the monitoring signal to obtain a baseband reference signal and a baseband monitoring signal after down-conversion; using the baseband reference signal and the baseband monitoring signal to estimate the number of multipath clutter signals in the monitoring channel; according to the estimated number of multipath clutter signals, using an orthogonal matching pursuit method to perform sparse matching cancellation on the multipath clutter signal to obtain a multipath clutter sparse coefficient; using the multipath clutter sparse coefficient to perform sparse matching cancellation on the multipath clutter to obtain a signal after multipath clutter cancellation. The dimension of the clutter filter matrix of the present invention is only related to the number of multipath clutter contained in the monitoring channel signal, so the complexity of solving the sparse matching coefficient can be greatly reduced, and the calculation efficiency can be improved.
Description
技术领域Technical Field
本发明属于雷达信号处理技术领域,具体涉及一种外辐射源雷达监视通道信号中多径杂波的对消方法,用于精准实现外辐射源雷达系统监视通道中多径杂波的对消。The present invention belongs to the technical field of radar signal processing, and in particular relates to a method for canceling multipath clutter in a monitoring channel signal of an external radiation source radar, which is used for accurately canceling multipath clutter in a monitoring channel of an external radiation source radar system.
背景技术Background Art
外辐射源雷达是利用第三方电磁信号(如数字广播电视信号、通信或导航卫星信号、全球移动通信系统等)进行目标探测的一种新体制雷达。外辐射源雷达通常配备接收辐射源信号的参考天线和接收目标回波信号的监视天线,参考天线和监视天线接收的信号分别称为参考信号和监视信号。理想情况下,参考信号为纯净的辐射源信号,监视信号只包含经目标二次反射后的辐射源信号(即目标回波信号),对参考信号和监视信号做相干积累即可得到回波信号相对于参考信号的时延和多普勒频率。基于此,可实现对目标的检测、定位、跟踪等诸多应用。但实际接收的监视信号中包含一些强多径杂波和直达波,这些信号在相干积累时会产生大量虚假目标,从而对外辐射源雷达的目标检测带来困难。Exo-radiation radar is a new type of radar that uses third-party electromagnetic signals (such as digital broadcasting and television signals, communication or navigation satellite signals, global mobile communication systems, etc.) to detect targets. Exo-radiation radar is usually equipped with a reference antenna for receiving radiation source signals and a monitoring antenna for receiving target echo signals. The signals received by the reference antenna and the monitoring antenna are called reference signals and monitoring signals, respectively. Ideally, the reference signal is a pure radiation source signal, and the monitoring signal only contains the radiation source signal after secondary reflection by the target (i.e., the target echo signal). The reference signal and the monitoring signal are coherently accumulated to obtain the time delay and Doppler frequency of the echo signal relative to the reference signal. Based on this, many applications such as target detection, positioning, and tracking can be realized. However, the monitoring signal actually received contains some strong multipath clutter and direct waves. These signals will generate a large number of false targets when coherently accumulated, which brings difficulties to the target detection of exo-radiation radar.
目前,应用比较广泛的多径杂波对消方法有时域自适应滤波方法,如最小均方法(Least Mean Squares,LMS)、归一化最小均方法(Normalized Least Mean Squares,NLMS)、梯度自适应网格法(Gradient Adaptive Lattice,GAL)、递归最小二乘法(Recursive Least Squares,RLS)等;以及时域投影法,如扩展相消法(ExtensiveCancellation Algorithm,ECA)、ECA-B(ECA-Batch)、ECA-S(ECA-Sliding)、ECA-C(ECA-Carrie)等。其中自适应滤波方法收敛速度慢,参数取值依赖历史经验;时域投影法不存在收敛问题,但其对矩阵求逆的计算量大,求解速度较慢。At present, the most widely used multipath clutter cancellation methods include time domain adaptive filtering methods, such as Least Mean Squares (LMS), Normalized Least Mean Squares (NLMS), Gradient Adaptive Lattice (GAL), Recursive Least Squares (RLS), etc.; and time domain projection methods, such as Extensive Cancellation Algorithm (ECA), ECA-B (ECA-Batch), ECA-S (ECA-Sliding), ECA-C (ECA-Carrie), etc. Among them, the adaptive filtering method has a slow convergence speed and the parameter value depends on historical experience; the time domain projection method does not have a convergence problem, but the amount of calculation for matrix inversion is large and the solution speed is slow.
发明内容Summary of the invention
为了解决现有技术中存在的上述问题,本发明提供了一种外辐射源雷达监视通道信号中多径杂波的对消方法。本发明要解决的技术问题通过以下技术方案实现:In order to solve the above problems existing in the prior art, the present invention provides a method for canceling multipath clutter in the monitoring channel signal of an external radiation source radar. The technical problem to be solved by the present invention is achieved by the following technical solutions:
本发明提供了的一个方面提供了一种外辐射源雷达监视通道信号中多径杂波的对消方法,包括:One aspect of the present invention provides a method for canceling multipath clutter in an external radiation source radar monitoring channel signal, comprising:
S1:利用外辐射源雷达的参考通道和监视通道分别获得参考信号和监视信号,其中,所述监视信号为经目标反射后由所述监视通道接收的信号;S1: using a reference channel and a monitoring channel of an external radiation source radar to obtain a reference signal and a monitoring signal respectively, wherein the monitoring signal is a signal received by the monitoring channel after being reflected by a target;
S2:对所述参考信号和所述监视信号进行下变频处理,获得下变频后的基带参考信号和基带监视信号;S2: down-converting the reference signal and the monitoring signal to obtain a baseband reference signal and a baseband monitoring signal after down-conversion;
S3:利用所述基带参考信号和所述基带监视信号估计监视通道中多径杂波信号的个数;S3: using the baseband reference signal and the baseband monitoring signal to estimate the number of multipath clutter signals in the monitoring channel;
S4:根据所估计的多径杂波信号的个数,利用正交匹配追踪法对多径杂波信号进行稀疏匹配对消,获得多径杂波稀疏系数;S4: according to the estimated number of multipath clutter signals, sparse matching cancellation is performed on the multipath clutter signals using an orthogonal matching pursuit method to obtain a multipath clutter sparse coefficient;
S5:利用所述多径杂波稀疏系数对多径杂波进行稀疏匹配对消,获得多径杂波对消后的信号。S5: performing sparse matching cancellation on the multipath clutter using the multipath clutter sparse coefficient to obtain a signal after multipath clutter cancellation.
在本发明的一个实施例中,所述S1包括:In one embodiment of the present invention, the S1 includes:
S1a:设置外辐射源雷达接收机的采样频率fs、波束接收方向接收带宽B和检测门限Th;S1a: Set the sampling frequency fs and beam receiving direction of the external radiation source radar receiver Receiving bandwidth B and detection threshold Th ;
S1b:根据不同场景的双基探测范围设置多径杂波信号出现的时延单元的最小值dmin和最大值dmax;S1b: Setting the minimum value d min and the maximum value d max of the delay unit for the occurrence of multipath clutter signals according to the dual-base detection range of different scenarios;
S1c:利用所述外辐射源雷达的参考通道接收参考信号,利用所述外辐射源雷达的监视通道接收监视信号。S1c: using the reference channel of the external radiation source radar to receive a reference signal, and using the monitoring channel of the external radiation source radar to receive a monitoring signal.
在本发明的一个实施例中,所述S2包括:In one embodiment of the present invention, the S2 includes:
对接收到的参考信号和监视信号进行数字下变频,得到下变频后的基带参考信号sref(t)和基带监视信号ssurv(t):The received reference signal and monitoring signal are digitally down-converted to obtain a down-converted baseband reference signal s ref (t) and a baseband monitoring signal s surv (t):
ssurv(t)=secho(t)+sm(t)+w(t)s surv (t)=s echo (t)+s m (t)+w(t)
其中,f0为基带信号的中心频率,secho(t)表示监视通道接收到的目标回波信号,sm(t)表示监视通道接收到的多径杂波信号,w(t)为高斯白噪声,所述目标回波信号secho(t)表示为:Wherein, f0 is the center frequency of the baseband signal, s echo (t) represents the target echo signal received by the monitoring channel, s m (t) represents the multipath clutter signal received by the monitoring channel, w(t) is Gaussian white noise, and the target echo signal s echo (t) is expressed as:
其中,A为目标回波信号的复幅度,u(t)为参考信号的复包络,τ为目标回波信号相对于参考信号的时延,fd为目标回波信号的多普勒频率。Where A is the complex amplitude of the target echo signal, u(t) is the complex envelope of the reference signal, τ is the time delay of the target echo signal relative to the reference signal, and fd is the Doppler frequency of the target echo signal.
在本发明的一个实施例中,所述S3包括:In one embodiment of the present invention, S3 includes:
S3a:计算所述基带参考信号与所述基带监视信号的互相关函数:S3a: Calculate the cross-correlation function between the baseband reference signal and the baseband monitoring signal:
χ0(n)=IFFT{FFT[sref(n),2N]·FFT*[ssurv(n),2N]}χ 0 (n)=IFFT{FFT[s ref (n),2N]·FFT * [s surv (n),2N]}
其中,n是离散的时间点,sref(n)为基带参考信号sref(t)的离散化表示,ssurv(n)为基带监视信号ssurv(t)的离散化表示,N为所述基带参考信号与所述基带监视信号的长度,FFT(·)表示傅里叶变换,IFFT(·)表示逆傅里叶变换;Wherein, n is a discrete time point, s ref (n) is a discretized representation of a baseband reference signal s ref (t), s surv (n) is a discretized representation of a baseband monitoring signal s surv (t), N is the length of the baseband reference signal and the baseband monitoring signal, FFT(·) represents Fourier transform, and IFFT(·) represents inverse Fourier transform;
S3b:记录所述互相关函数χ0(n)在时延单元[dmin,dmax]内的相关结果超出检测门限Th部分的平均值:S3b: Record the average value of the part of the correlation result of the cross-correlation function χ 0 (n) in the time delay unit [d min , d max ] that exceeds the detection threshold Th :
Ave=mean(χ0(n)>Th);A ve =mean(χ 0 (n)>T h );
S3c:将χ0(n)在时延单位[dmin,dmax]内的相关结果超出γ·Ave的部分组成新数组χ1,其中,γ为常数因子;S3c: The part of the correlation results of χ 0 (n) in the delay unit [d min ,d max ] that exceeds γ·A ve is formed into a new array χ 1 , where γ is a constant factor;
S3d:统计所述新数组χ1中的极大值个数cnt,估计多径杂波信号的个数为M0=η·cnt,其中,η为常数因子。S3d: Count the number of maximum values cnt in the new array χ 1 , and estimate the number of multipath clutter signals to be M 0 =η·cnt, where η is a constant factor.
在本发明的一个实施例中,所述S4包括:In one embodiment of the present invention, the S4 includes:
S4a:根据离散化基带参考信号sref(n)生成多径杂波字空间矩阵D:S4a: Generate a multipath clutter word space matrix D according to the discretized baseband reference signal s ref (n):
其中,K=dmax-dmin,n表示离散时间,N表示信号长度,fs表示外辐射源雷达接收机的采样频率,矩阵D中第一列的sref(1)前共有dmin个0,最后一列的sref(1)前共有K+dmin+1个0;Wherein, K = d max -d min , n represents discrete time, N represents signal length, f s represents the sampling frequency of the external radiation source radar receiver, and there are d min zeros before s ref (1) in the first column of the matrix D, and there are K + d min + 1 zeros before s ref (1) in the last column;
S4b:对多径杂波字空间矩阵D的每一列进行单位化表示:S4b: Unitize each column of the multipath clutter word space matrix D:
D=[a1,a2,…,aK],D=[a 1 ,a 2 ,…,a K ],
其中,ai表示单位化后的多径杂波信号,i=1,...,K;Wherein, a i represents the normalized multipath clutter signal, i=1,...,K;
S4c:初始化对消后的残差信号r0=ssurv,并对多径杂波矩阵索引集Λ和迭代次数m进行初始化:m=1;S4c: Initialize the residual signal after cancellation r 0 =s surv , and initialize the multipath clutter matrix index set Λ and the number of iterations m: m=1;
S4d:计算当前多径杂波信号在所述多径杂波字空间矩阵D中的位置索引λm:S4d: Calculate the position index λ m of the current multipath clutter signal in the multipath clutter word space matrix D:
其中,m表示迭代循环的次数;Where m represents the number of iterations;
S4e:将得到的位置索引λm加入多径杂波矩阵索引集S4e: Add the obtained position index λ m to the multipath clutter matrix index set
Λm=Λm-1∪{λm};Λ m = Λ m-1 ∪{λ m };
S4f:利用所述多径杂波矩阵索引集更新残差信号:S4f: Update the residual signal using the multipath clutter matrix index set:
其中,是多径杂波字空间矩阵D的一部分,是由索引集Λm对应的列信号组成的新的空间矩阵;in, is part of the multipath clutter word space matrix D, is a new spatial matrix composed of column signals corresponding to the index set Λ m ;
S4g:令m=m+1,重复步骤S4d-S4g,当满足迭代退出条件m=M0时退出循环,获得迭代更新后的多径杂波字空间矩阵其中,M0为所估计的多径杂波信号个数。S4g: Let m = m + 1, repeat steps S4d-S4g, and exit the loop when the iteration exit condition m = M 0 is met to obtain the multipath clutter word space matrix after iterative update Where M0 is the number of estimated multipath clutter signals.
S4h:利用迭代更新后的多径杂波字空间矩阵计算多径杂波稀疏系数:S4h: Using the iteratively updated multipath clutter word space matrix Calculate the multipath clutter sparse coefficient:
其中,ssurv表示基带监视信号。Wherein, s surv represents the baseband monitoring signal.
在本发明的一个实施例中,所述S5包括:In one embodiment of the present invention, the S5 includes:
利用所述多径杂波稀疏系数对多径杂波进行稀疏匹配对消,获得多径杂波对消后的信号:The multipath clutter sparse coefficient is used to perform sparse matching cancellation on the multipath clutter to obtain a signal after multipath clutter cancellation:
本发明的另一方面提供了一种存储介质,所述存储介质中存储有计算机程序,所述计算机程序用于执行上述实施例中任一项所述外辐射源雷达监视通道信号中多径杂波的对消方法的步骤。Another aspect of the present invention provides a storage medium storing a computer program for executing the steps of the method for cancelling multipath clutter in an external radiation source radar monitoring channel signal described in any one of the above embodiments.
本发明的又一方面提供了一种电子设备,包括存储器和处理器,所述存储器中存储有计算机程序,所述处理器调用所述存储器中的计算机程序时实现如上述实施例中任一项所述外辐射源雷达监视通道信号中多径杂波的对消方法的步骤。Another aspect of the present invention provides an electronic device, including a memory and a processor, wherein the memory stores a computer program, and when the processor calls the computer program in the memory, it implements the steps of the method for eliminating multipath clutter in the external radiation source radar monitoring channel signal as described in any one of the above embodiments.
与现有技术相比,本发明的有益效果在于:Compared with the prior art, the present invention has the following beneficial effects:
1、本发明采用的正交匹配追踪的多径杂波对消方法,杂波滤波矩阵的维度仅与监视通道信包含的多径杂波数量有关,因此可以大幅降低求解稀疏匹配系数的复杂度,提高计算效率。1. In the orthogonal matching pursuit multipath clutter cancellation method adopted by the present invention, the dimension of the clutter filter matrix is only related to the number of multipath clutter contained in the monitoring channel signal, so the complexity of solving the sparse matching coefficient can be greatly reduced and the calculation efficiency can be improved.
2、本发明采用的正交匹配追踪的多径杂波对消方法,对多径杂波滤波矩阵的列向量的相关性无特别要求,因此适用于更多实际应用场景。2. The orthogonal matching pursuit multipath clutter cancellation method adopted in the present invention has no special requirements on the correlation of the column vectors of the multipath clutter filter matrix, and is therefore suitable for more practical application scenarios.
以下将结合附图及实施例对本发明做进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings and embodiments.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是本发明实施例提供的一种外辐射源雷达监视通道信号中多径杂波的对消方法的流程图;1 is a flow chart of a method for canceling multipath clutter in an external radiation source radar monitoring channel signal provided by an embodiment of the present invention;
图2是本发明实施例提供的一种外辐射源雷达监视通道信号中多径杂波的对消方法的处理过程示意图;2 is a schematic diagram of a processing process of a method for canceling multipath clutter in an external radiation source radar monitoring channel signal provided by an embodiment of the present invention;
图3是利用本发明实施例的对消方法进行杂波对消前的零频互模糊函数切片图;FIG3 is a slice diagram of a zero-frequency mutual ambiguity function before clutter cancellation using the cancellation method according to an embodiment of the present invention;
图4是指定时延单元内互相关结果超出检测门限的示意图;FIG4 is a schematic diagram showing that the cross-correlation result in the delay unit exceeds the detection threshold;
图5是利用本发明实施例的对消方法进行杂波对消后的互模糊函数切片图。FIG. 5 is a cross-ambiguity function slice diagram after clutter cancellation using the cancellation method according to an embodiment of the present invention.
具体实施方式DETAILED DESCRIPTION
为了进一步阐述本发明为达成预定发明目的所采取的技术手段及功效,以下结合附图及具体实施方式,对依据本发明提出的外辐射源雷达监视通道信号中多径杂波的对消方法进行详细说明。In order to further explain the technical means and effects adopted by the present invention to achieve the predetermined invention purpose, the method for canceling multipath clutter in the external radiation source radar monitoring channel signal proposed by the present invention is described in detail below in conjunction with the accompanying drawings and specific implementation methods.
有关本发明的前述及其他技术内容、特点及功效,在以下配合附图的具体实施方式详细说明中即可清楚地呈现。通过具体实施方式的说明,可对本发明为达成预定目的所采取的技术手段及功效进行更加深入且具体地了解,然而所附附图仅是提供参考与说明之用,并非用来对本发明的技术方案加以限制。The above and other technical contents, features and effects of the present invention are clearly presented in the following detailed description of the specific implementation modes in conjunction with the accompanying drawings. Through the description of the specific implementation modes, the technical means and effects adopted by the present invention to achieve the predetermined purpose can be more deeply and specifically understood. However, the attached drawings are only for reference and explanation purposes and are not used to limit the technical solutions of the present invention.
应当说明的是,在本文中,诸如第一和第二等之类的关系术语仅仅用来将一个实体或者操作与另一个实体或操作区分开来,而不一定要求或者暗示这些实体或操作之间存在任何这种实际的关系或者顺序。而且,术语“包括”、“包含”或者任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的物品或者设备中还存在另外的相同要素。It should be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants are intended to cover non-exclusive inclusion, so that an article or device including a series of elements includes not only those elements, but also other elements that are not explicitly listed. In the absence of more restrictions, the elements defined by the statement "including one..." do not exclude the existence of other identical elements in the article or device including the elements.
本发明实施例提供了一种外辐射源雷达监视通道信号中多径杂波的对消方法,请参见图1和图2,该多径杂波的对消方法包括以下步骤:The embodiment of the present invention provides a method for canceling multipath clutter in an external radiation source radar monitoring channel signal. Please refer to Figures 1 and 2. The method for canceling multipath clutter includes the following steps:
S1:利用外辐射源雷达的参考通道和监视通道分别获得参考信号和监视信号。S1: Use the reference channel and monitoring channel of the external radiation source radar to obtain a reference signal and a monitoring signal respectively.
具体的,本实施例的步骤S1包含以下子步骤:Specifically, step S1 of this embodiment includes the following sub-steps:
S1a:设置外辐射源雷达接收机的采样频率fs、波束接收方向接收带宽B和检测门限Th等参数。S1a: Set the sampling frequency fs and beam receiving direction of the external radiation source radar receiver Parameters such as receiving bandwidth B and detection threshold Th .
S1b:设置多径杂波信号的相关参数。根据不同场景的双基探测范围[Rmin,Rmax]设置多径杂波信号出现的时延单元的最小值dmin和最大值dmax,即S1b: Set the relevant parameters of multipath clutter signals. Set the minimum value d min and the maximum value d max of the delay unit where multipath clutter signals appear according to the dual-base detection range [R min , R max ] of different scenarios, that is,
其中,c为光速,floor(·)表示向下取整。Where c is the speed of light and floor(·) means rounding down.
S1c:利用所述外辐射源雷达的参考通道接收参考信号,利用所述外辐射源雷达的监视通道接收监视信号,其中,所述监视信号为经目标反射后由所述监视通道接收的信号。S1c: using the reference channel of the external radiation source radar to receive a reference signal, and using the monitoring channel of the external radiation source radar to receive a monitoring signal, wherein the monitoring signal is a signal received by the monitoring channel after being reflected by a target.
如上所述,外辐射源雷达通常配备接收辐射源信号的参考天线和接收目标回波信号的监视天线,参考天线和监视天线接收的信号分别称为参考信号和监视信号。理想情况下,参考信号为纯净的辐射源信号,监视信号只包含经目标二次反射后的辐射源信号(即目标回波信号)。在实际情况中,所接收的参考信号可以表示为:As mentioned above, external radiation source radar is usually equipped with a reference antenna for receiving radiation source signals and a monitoring antenna for receiving target echo signals. The signals received by the reference antenna and the monitoring antenna are called reference signal and monitoring signal respectively. Ideally, the reference signal is a pure radiation source signal, and the monitoring signal only contains the radiation source signal after secondary reflection from the target (i.e., the target echo signal). In actual situations, the received reference signal can be expressed as:
其中,u(t)是参考信号的复包络,fc是发射信号的载频,是发射信号的初始相位,t表示时间。Where u(t) is the complex envelope of the reference signal, fc is the carrier frequency of the transmitted signal, is the initial phase of the transmitted signal, and t represents time.
S2:对所述参考信号和所述监视信号进行下变频处理,获得下变频后的基带参考信号和基带监视信号。S2: Perform down-conversion processing on the reference signal and the monitoring signal to obtain a down-converted baseband reference signal and a baseband monitoring signal.
具体地,对接收到的高频参考信号和监视信号进行数字下变频,得到下变频后的基带参考信号sref(t)和基带监视信号ssurv(t),分别表示为Specifically, the received high-frequency reference signal and monitoring signal are digitally down-converted to obtain a down-converted baseband reference signal s ref (t) and a baseband monitoring signal s surv (t), which are respectively expressed as
ssurv(t)=secho(t)+sm(t)+w(t)s surv (t)=s echo (t)+s m (t)+w(t)
其中,f0为基带信号的中心频率,secho(t)表示监视通道接收到的目标回波信号,sm(t)表示监视通道接收到的多径杂波信号,w(t)为高斯白噪声。目标回波信号secho(t)可以表示为:Where f0 is the center frequency of the baseband signal, s echo (t) represents the target echo signal received by the monitoring channel, s m (t) represents the multipath clutter signal received by the monitoring channel, and w(t) is Gaussian white noise. The target echo signal s echo (t) can be expressed as:
其中,A为目标回波信号的复幅度,u(t)是参考信号的复包络,τ为目标回波信号相对于参考信号的时延,fd是目标回波信号的多普勒频率。Where A is the complex amplitude of the target echo signal, u(t) is the complex envelope of the reference signal, τ is the time delay of the target echo signal relative to the reference signal, and fd is the Doppler frequency of the target echo signal.
S3:利用所述基带参考信号和所述基带监视信号估计监视通道中多径杂波信号的个数。S3: Estimate the number of multipath clutter signals in a monitoring channel using the baseband reference signal and the baseband monitoring signal.
需要说明的是,监视通道中的多径杂波信号sm(t)可以看作是具有一定时延和一定幅度的参考信号,因此可以表示为:It should be noted that the multipath clutter signal s m (t) in the monitoring channel can be regarded as a reference signal with a certain delay and a certain amplitude, and can therefore be expressed as:
其中,ωm为第m个多径杂波信号的复幅度,Δtm为第m个多径杂波信号相对于参考信号的时延,M是多径杂波信号的个数。Wherein, ωm is the complex amplitude of the m-th multipath clutter signal, Δtm is the time delay of the m-th multipath clutter signal relative to the reference signal, and M is the number of multipath clutter signals.
现有的时域投影杂波对消方法可以对消时延单元在阶数K以内的多径杂波。通常情况下,K的取值较大,导致多径杂波子空间的信号个数较多,后续的计算复杂度高。如果可以预先估计多径杂波信号的个数,即可避免大量冗余计算。多径杂波信号可以看作是具有一定时延和幅度的参考信号,因此多径杂波信号和参考信号在时间上具有相关性,可以通过参考信号与监视信号(监视信号包含多径杂波信号)互相关峰的个数确定多径杂波信号的个数。但是当两个或多个多径杂波信号的时延非常接近时,在互相关结果中可能只有一个相关峰,因此需要根据相关峰的个数对多径杂波信号个数的上限进行估计。The existing time domain projection clutter cancellation method can cancel multipath clutter within the delay unit order K. Usually, the value of K is large, resulting in a large number of signals in the multipath clutter subspace and high subsequent calculation complexity. If the number of multipath clutter signals can be estimated in advance, a large number of redundant calculations can be avoided. Multipath clutter signals can be regarded as reference signals with a certain delay and amplitude. Therefore, the multipath clutter signal and the reference signal are correlated in time, and the number of multipath clutter signals can be determined by the number of cross-correlation peaks between the reference signal and the monitoring signal (the monitoring signal contains the multipath clutter signal). However, when the time delays of two or more multipath clutter signals are very close, there may be only one correlation peak in the cross-correlation result, so it is necessary to estimate the upper limit of the number of multipath clutter signals based on the number of correlation peaks.
具体地,本实施例的步骤S3包含以下子步骤:Specifically, step S3 of this embodiment includes the following sub-steps:
S3a:计算所述基带参考信号与所述基带监视信号的互相关函数:S3a: Calculate the cross-correlation function between the baseband reference signal and the baseband monitoring signal:
χ0(n)=IFFT{FFT[sref(n),2N]·FFT*[ssurv(n),2N]}χ 0 (n)=IFFT{FFT[s ref (n),2N]·FFT * [s surv (n),2N]}
其中,n是离散的时间点,sref(n)为基带参考信号sref(t)的离散化表示,ssurv(n)为基带监视信号ssurv(t)的离散化表示,N为所述基带参考信号与所述基带监视信号的长度,FFT(·)表示傅里叶变换,IFFT(·)表示逆傅里叶变换,请参见图3,图3是利用本发明实施例的对消方法进行杂波对消前的零频互模糊函数切片图,即参考信号与监视信号的互相关结果。Wherein, n is a discrete time point, s ref (n) is a discretized representation of a baseband reference signal s ref (t), s surv (n) is a discretized representation of a baseband monitoring signal s surv (t), N is the length of the baseband reference signal and the baseband monitoring signal, FFT(·) represents Fourier transform, IFFT(·) represents inverse Fourier transform, refer to FIG3 , FIG3 is a slice diagram of a zero-frequency mutual ambiguity function before clutter cancellation is performed using the cancellation method according to an embodiment of the present invention, that is, a cross-correlation result of a reference signal and a monitoring signal.
S3b:记录所述互相关函数χ0(n)在时延单元[dmin,dmax]内的相关结果超出检测门限Th部分的平均值,请参见图4,图4是指定时延单元内互相关结果超出检测门限的示意图,在图4中dmin,dmax与Th所围成区域上部数据的平均值,即S3b: Record the average value of the correlation result of the cross-correlation function χ 0 (n) in the delay unit [d min , d max ] exceeding the detection threshold Th . Please refer to FIG4 , which is a schematic diagram of the cross-correlation result exceeding the detection threshold in the delay unit. In FIG4 , the average value of the data in the upper part of the area surrounded by d min , d max and Th is
Ave=mean(χ0(n)>Th)。A ve =mean(χ 0 (n)>T h ).
S3c:将χ0(n)在时延单位[dmin,dmax]内的相关结果超出γ·Ave的部分组成新数组χ1,其中,γ为常数因子,本实施例取值为1.75。S3c: The part of the correlation results of χ 0 (n) in the delay unit [d min ,d max ] exceeding γ·A ve is formed into a new array χ 1 , where γ is a constant factor, and the value of this embodiment is 1.75.
S3d:统计所述新数组χ1中的极大值个数cnt,则可以得到所估计出的多径杂波信号的个数,即多径杂波信号的数量上限为M0=η·cnt,其中,η为常数因子,本实施例取值为2。S3d: Count the number of maximum values cnt in the new array χ 1 , and then the estimated number of multipath clutter signals can be obtained, that is, the upper limit of the number of multipath clutter signals is M 0 =η·cnt, where η is a constant factor, and the value is 2 in this embodiment.
S4:根据所估计的多径杂波信号的个数,利用正交匹配追踪法对多径杂波信号进行稀疏匹配对消,获得多径杂波稀疏系数。S4: According to the estimated number of multipath clutter signals, the multipath clutter signals are sparsely matched and cancelled using the orthogonal matching pursuit method to obtain multipath clutter sparse coefficients.
多径杂波信号可以看作为具有一定时延和幅度的参考信号,因此可以利用参考信号添加时延构建多径杂波子空间,通过多径杂波信号在多径杂波子空间上的投影,从而消除多径杂波信号。在投影过程中,利用S3估计的多径杂波信号的个数及正交匹配追踪法可以大幅减少计算量,并且不需要求杂波子空间中任意两两杂波信号相互正交。Multipath clutter signals can be regarded as reference signals with certain delay and amplitude. Therefore, the reference signal can be used to add delay to construct a multipath clutter subspace, and the multipath clutter signals can be eliminated by projecting them on the multipath clutter subspace. In the projection process, the number of multipath clutter signals estimated by S3 and the orthogonal matching pursuit method can greatly reduce the amount of calculation, and there is no need to require that any two clutter signals in the clutter subspace are orthogonal to each other.
具体地,本实施例的步骤S4包括:Specifically, step S4 of this embodiment includes:
S4a:根据离散化基带参考信号sref(n)生成多径杂波字空间矩阵D:S4a: Generate a multipath clutter word space matrix D according to the discretized baseband reference signal s ref (n):
其中,K=dmax-dmin,n表示离散时间,N表示信号长度,fs表示外辐射源雷达接收机的采样频率,矩阵D中第一列的sref(1)前共有dmin个0,最后一列的sref(1)前面共有K+dmin+1个0。Wherein, K=d max -d min , n represents discrete time, N represents signal length, fs represents sampling frequency of external radiation source radar receiver, and there are d min zeros before s ref (1) in the first column of matrix D, and there are K+d min +1 zeros before s ref (1) in the last column.
S4b:对所述多径杂波字空间矩阵D的每一列进行单位化表示:S4b: Unitize each column of the multipath clutter word space matrix D:
D=[a1,a2,…,aK+1],D=[a 1 ,a 2 ,…,a K+1 ],
其中,ai(i=1,...,K+1)表示单位化后的多径杂波信号。Wherein, a i (i=1,...,K+1) represents the normalized multipath clutter signal.
S4c:初始化对消后的残差信号r0=ssurv,并对多径杂波矩阵索引集Λ和迭代次数m进行初始化:m=1。S4c: Initialize the residual signal after cancellation r 0 =s surv , and initialize the multipath clutter matrix index set Λ and the number of iterations m: m=1.
S4d:计算当前多径杂波信号在所述多径杂波字空间矩阵D中的位置索引λm,即残差信号与多径杂波字空间矩阵D中相关性最大的单位化后的多径杂波信号对应的位置,表示为:S4d: Calculate the position index λ m of the current multipath clutter signal in the multipath clutter word space matrix D, that is, the position corresponding to the normalized multipath clutter signal with the largest correlation between the residual signal and the multipath clutter word space matrix D, expressed as:
其中,m表示迭代循环的次数,例如,r0表示第一次循环时的残差信号,r1表示第二次循环时的残差信号。Wherein, m represents the number of iterative cycles, for example, r 0 represents the residual signal in the first cycle, and r 1 represents the residual signal in the second cycle.
S4e:将得到的位置索引λm加入多径杂波矩阵索引集S4e: Add the obtained position index λ m to the multipath clutter matrix index set
Λm=Λm-1∪{λm};Λ m = Λ m-1 ∪{λ m };
S4f:利用所述多径杂波矩阵索引集更新残差信号:S4f: Update the residual signal using the multipath clutter matrix index set:
其中,是多径杂波字空间矩阵D的一部分,是由索引集Λm对应的列信号组成的新的空间矩阵。in, is part of the multipath clutter word space matrix D, It is a new spatial matrix composed of column signals corresponding to the index set Λ m .
假设多径杂波字空间矩阵D有10列信号,索引集Λm={2,4,7},则就是D里面的第2、4和7列信号组成的新矩阵。Assume that the multipath clutter word space matrix D has 10 columns of signals and the index set Λ m = {2, 4, 7}, then It is the new matrix composed of the signals in the 2nd, 4th and 7th columns of D.
S4g:令m=m+1,重复步骤S4d-S4g,当满足迭代退出条件m=M0时,退出循环,获得迭代更新后的多径杂波字空间矩阵其中,M0为步骤S3中估计的多径杂波信号的数量上限。S4g: Let m = m + 1, repeat steps S4d-S4g, and when the iteration exit condition m = M 0 is met, exit the loop and obtain the multipath clutter word space matrix after iterative update Wherein, M 0 is the upper limit of the number of multipath clutter signals estimated in step S3.
S4h:利用迭代更新后的多径杂波字空间矩阵计算多径杂波稀疏系数:S4h: Using the iteratively updated multipath clutter word space matrix Calculate the multipath clutter sparse coefficient:
其中,ssurv表示基带监视信号。Wherein, s surv represents the baseband monitoring signal.
S5:利用所述多径杂波稀疏系数对多径杂波进行稀疏匹配对消,获得多径杂波对消后的信号:S5: Perform sparse matching cancellation on the multipath clutter using the multipath clutter sparse coefficient to obtain a signal after multipath clutter cancellation:
以下通过仿真实验对本发明实施例的外辐射源雷达监视通道信号中多径杂波的对消方法的效果进行进一步说明。本实施例选用的信号为数字电视直播卫星信号(DVB-S),相关部分参数如表1所示。The following is a simulation experiment to further illustrate the effect of the method for canceling multipath clutter in the external radiation source radar monitoring channel signal of the embodiment of the present invention. The signal selected in this embodiment is a digital television live satellite signal (DVB-S), and the relevant parameters are shown in Table 1.
表1.本发明实施例相关参数Table 1. Parameters related to the embodiments of the present invention
表2.多径杂波信号的干信比Table 2. Interference-to-signal ratio of multipath clutter signals
本实施例的监视信号中16条多径杂波的干信比如表2所示。目标回波信号的信噪比为-35dB。通过计算监视信号与参考信号在零频的互模糊函数(即互相关结果),得到图3所示的模糊结果,通过步骤S3得到多径信号数量的上限M0=24。图5是经过步骤S4将多径杂波对消后的信号与参考信号的在目标回波多普勒频率处的互模糊函数,由此可见,本发明实施例的方法对多径杂波对消效果非常理想,对目标回波信号积累后的信噪比提升了14.32dB。The interference signal ratio of 16 multipath clutters in the monitoring signal of this embodiment is shown in Table 2. The signal-to-noise ratio of the target echo signal is -35dB. By calculating the mutual ambiguity function (i.e., the cross-correlation result) of the monitoring signal and the reference signal at zero frequency, the ambiguity result shown in Figure 3 is obtained, and the upper limit of the number of multipath signals M 0 =24 is obtained by step S3. Figure 5 is the mutual ambiguity function of the signal after multipath clutter cancellation in step S4 and the reference signal at the target echo Doppler frequency. It can be seen that the method of the embodiment of the present invention has a very ideal effect on multipath clutter cancellation, and the signal-to-noise ratio of the accumulated target echo signal is improved by 14.32dB.
本发明实施例采用的正交匹配追踪的多径杂波对消方法,杂波滤波矩阵的维度仅与监视通道信包含的多径杂波数量有关,而现有方法的滤波矩阵为整个字典矩阵,因此,本发明实施例所提方法可以大幅降低求解稀疏匹配系数的复杂度,提高计算效率。此外,本发明实施例的多径杂波对消方法对多径杂波滤波矩阵的列向量的相关性无特别要求,而现有的多径杂波对消方法需要保证滤波矩阵的列向量互不相关,因此,本发明实施例所提方法适用于更多实际应用场景。In the orthogonal matching pursuit multipath clutter cancellation method adopted in the embodiment of the present invention, the dimension of the clutter filter matrix is only related to the number of multipath clutter contained in the monitoring channel signal, while the filter matrix of the existing method is the entire dictionary matrix. Therefore, the method proposed in the embodiment of the present invention can greatly reduce the complexity of solving the sparse matching coefficient and improve the calculation efficiency. In addition, the multipath clutter cancellation method in the embodiment of the present invention has no special requirements on the correlation of the column vectors of the multipath clutter filter matrix, while the existing multipath clutter cancellation method needs to ensure that the column vectors of the filter matrix are not correlated with each other. Therefore, the method proposed in the embodiment of the present invention is applicable to more practical application scenarios.
本发明的又一实施例提供了一种存储介质,所述存储介质中存储有计算机程序,所述计算机程序用于执行上述实施例中所述外辐射源雷达监视通道信号中多径杂波的对消方法的步骤。本发明的再一方面提供了一种电子设备,包括存储器和处理器,所述存储器中存储有计算机程序,所述处理器调用所述存储器中的计算机程序时实现如上述实施例所述外辐射源雷达监视通道信号中多径杂波的对消方法的步骤。具体地,上述以软件功能模块的形式实现的集成的模块,可以存储在一个计算机可读取存储介质中。上述软件功能模块存储在一个存储介质中,包括若干指令用以使得一台电子设备(可以是个人计算机,服务器,或者网络设备等)或处理器(processor)执行本发明各个实施例所述方法的部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(Read-Only Memory,ROM)、随机存取存储器(Random Access Memory,RAM)、磁碟或者光盘等各种可以存储程序代码的介质。Another embodiment of the present invention provides a storage medium, wherein a computer program is stored in the storage medium, and the computer program is used to execute the steps of the method for canceling multipath clutter in the monitoring channel signal of the external radiation source radar described in the above embodiment. Another aspect of the present invention provides an electronic device, including a memory and a processor, wherein a computer program is stored in the memory, and when the processor calls the computer program in the memory, the steps of the method for canceling multipath clutter in the monitoring channel signal of the external radiation source radar described in the above embodiment are implemented. Specifically, the above-mentioned integrated module implemented in the form of a software function module can be stored in a computer-readable storage medium. The above-mentioned software function module is stored in a storage medium, including several instructions for enabling an electronic device (which can be a personal computer, a server, or a network device, etc.) or a processor (processor) to execute some steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: various media that can store program codes, such as a U disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a disk or an optical disk.
以上内容是结合具体的优选实施方式对本发明所作的进一步详细说明,不能认定本发明的具体实施只局限于这些说明。对于本发明所属技术领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干简单推演或替换,都应当视为属于本发明的保护范围。The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the protection scope of the present invention.
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