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CN114781152B - Pseudo-target radiation source distinguishing method and system based on array factor characteristics - Google Patents

Pseudo-target radiation source distinguishing method and system based on array factor characteristics Download PDF

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CN114781152B
CN114781152B CN202210399484.6A CN202210399484A CN114781152B CN 114781152 B CN114781152 B CN 114781152B CN 202210399484 A CN202210399484 A CN 202210399484A CN 114781152 B CN114781152 B CN 114781152B
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朱冬
刘彬聪
胡飞
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Huazhong University of Science and Technology
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Abstract

The invention discloses a pseudo target radiation source distinguishing method and system based on array factor characteristics, and belongs to the field of array signal processing and source positioning. Comprising the following steps: reconstructing an image of the target radiation source; constructing a distance matrix from each source point to other source points; establishing a multi-antenna array factor model diagram; determining a side lobe point with the maximum relative intensity in a certain error range on an array factor model diagram, taking the side lobe point as a suspicious source point, and determining the position information and the distribution characteristics of the suspicious source point in a model; and comparing the actual position information with the position information and the distribution characteristics obtained in the model diagram on the reconstructed target radiation source image, and finally determining the specific position of the pseudo target radiation source point on the reconstructed target radiation source image. The invention solves the detection and processing problems of false source points generated by large fluctuation range of the intensity of the interference source, reduces the false alarm probability of the radiation interference source detection in the discrete multi-target image, and has higher robustness.

Description

一种基于阵列因子特征的伪目标辐射源判别方法及系统A method and system for distinguishing false target radiation sources based on array factor characteristics

技术领域Technical Field

本发明属于阵列信号处理和源定位领域,更具体地,涉及一种基于阵列因子特征的伪目标辐射源判别方法及系统。The present invention belongs to the field of array signal processing and source positioning, and more specifically, relates to a pseudo target radiation source identification method and system based on array factor characteristics.

背景技术Background technique

射频干扰是影响星载/机载遥感数据科学性与实用性的重要因素,会制约地球物理参数反演、微波成像、目标探测等遥感应用与发展。不论是通过国际电联与地方管理部门协调以关闭非法目标辐射源,还是直接对受污染的遥感数据进行处理来缓解射频干扰影响,通常都需要利用辐射源的位置信息。Radio frequency interference is an important factor affecting the scientificity and practicality of satellite/airborne remote sensing data, and will restrict the application and development of remote sensing such as geophysical parameter inversion, microwave imaging, and target detection. Whether it is through the coordination between the ITU and local management departments to shut down illegal target radiation sources, or directly processing contaminated remote sensing data to mitigate the impact of radio frequency interference, it is usually necessary to use the location information of the radiation source.

现有技术中,目前已有的目标辐射源检测方法存在诸多缺陷,如强弱源混合无法检测与定位、邻近干扰源分辨率不足、位置聚集源检测无法检测与定位等。尤其是在强弱源混合的情况下,对于伪目标辐射源的定位,判别与处理是亟待解决的问题,例如现有的RFI检测算法通常设定阈值作为判决标准,这种方式无法检测出假阳性点且会掩盖弱源,精测精度不高。In the prior art, the existing target radiation source detection methods have many defects, such as the inability to detect and locate mixed strong and weak sources, insufficient resolution of adjacent interference sources, and the inability to detect and locate position-aggregated sources. Especially in the case of mixed strong and weak sources, the positioning, discrimination and processing of pseudo-target radiation sources are urgent problems to be solved. For example, the existing RFI detection algorithm usually sets a threshold as the judgment standard. This method cannot detect false positive points and will cover up weak sources, and the precision of precise measurement is not high.

发明内容Summary of the invention

针对现有技术的缺陷和改进需求,本发明提供了一种基于阵列因子特征的伪目标辐射源判别方法及系统,其目的在于在强弱源混合的情况下,筛选出伪目标辐射源,提升检测的精度。In view of the defects and improvement needs of the prior art, the present invention provides a method and system for distinguishing pseudo target radiation sources based on array factor characteristics, which aims to screen out pseudo target radiation sources in the case of a mixture of strong and weak sources and improve the detection accuracy.

为实现上述目的,按照本发明的一个方面,提供了一种基于阵列因子特征的伪目标辐射源判别方法,包括:To achieve the above object, according to one aspect of the present invention, a method for distinguishing a pseudo target radiation source based on array factor characteristics is provided, comprising:

重建目标辐射源的图像;reconstructing an image of the target radiation source;

遍历重建图像中的每个像素点,确定所述重建图像中每个源点的极大值及其所在位置,将所述极大值所在的位置视为该源点的位置,构建每个源点到其它源点的距离矩阵D;Traverse each pixel point in the reconstructed image, determine the maximum value and position of each source point in the reconstructed image, regard the position of the maximum value as the position of the source point, and construct a distance matrix D from each source point to other source points;

建立多天线阵列因子模型图;Establish a multi-antenna array factor model diagram;

在阵列因子模型图上,确定在一定误差范围内的相对强度最大的旁瓣点,将所述旁瓣点作为可疑源点,确定所述可疑源点在模型中的位置信息和分布特征;并根据所述位置信息以及主瓣在模型中的位置信息计算所述可疑源点到主瓣的距离dt,t为正整数;On the array factor model diagram, determine the side lobe point with the largest relative intensity within a certain error range, take the side lobe point as a suspected source point, determine the position information and distribution characteristics of the suspected source point in the model; and calculate the distance d t from the suspected source point to the main lobe according to the position information and the position information of the main lobe in the model, where t is a positive integer;

在所述重建图像上,针对每个dt,遍历所述距离矩阵D中的每一列,标记距离在dt的误差范围内的源点为该源点的可疑源点;On the reconstructed image, for each d t , traverse each column in the distance matrix D, and mark the source point whose distance is within the error range of d t as the suspicious source point of the source point;

统计每个源点对应的可疑源点的分布特征,当所述分布特征与在阵列因子模型中的分布特征一致时,确定所述可疑源点为该源点对应的伪目标辐射源点,得到伪目标辐射源点的定位结果。The distribution characteristics of the suspicious source points corresponding to each source point are counted. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, the suspicious source point is determined to be the pseudo target radiation source point corresponding to the source point, and the positioning result of the pseudo target radiation source point is obtained.

进一步地,通过获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列Difference Coarray的分布构建所述多天线阵列因子模型图。Furthermore, by obtaining the difference correlation array Difference Coarray of the original sparse array of multiple antennas, the multi-antenna array factor model graph is constructed according to the distribution of the difference correlation array Difference Coarray.

进一步地,采用凸优化算法来获取重建后的目标辐射源的图像。Furthermore, a convex optimization algorithm is used to obtain the reconstructed image of the target radiation source.

进一步地,重建目标辐射源的图像的步骤包括:Furthermore, the step of reconstructing the image of the target radiation source includes:

步骤S1、获取多天线原始稀疏阵列的协方差矩阵,对所述协方差矩阵冗余平均和矢量化来构建原始稀疏阵列的差相关阵列Difference Coarray信号接收模型;Step S1, obtaining a covariance matrix of an original sparse array of multiple antennas, redundantly averaging and vectorizing the covariance matrix to construct a difference coarray signal receiving model of the original sparse array;

步骤S2、以原始稀疏阵列的差相关阵列Difference Coarray和目标辐射源空域稀疏特性为约束条件,将目标辐射源的来波方向划分为网络,得到过完备字典;Step S2, using the difference correlation array Difference Coarray of the original sparse array and the spatial sparse characteristics of the target radiation source as constraints, dividing the incoming wave direction of the target radiation source into networks to obtain an over-complete dictionary;

步骤S3、基于所述过完备字典,将步骤S1中的模型拓展为基于DifferenceCoarray的目标辐射源稀疏重建模型;Step S3, based on the overcomplete dictionary, expanding the model in step S1 into a sparse reconstruction model of the target radiation source based on DifferenceCoarray;

步骤S4、采用重加权l1范数算法求解上述模型,得到重建目标辐射源的图像。Step S4: Use the reweighted l 1 norm algorithm to solve the above model to obtain an image of the reconstructed target radiation source.

进一步地,所述重加权l1范数算法中,第k+1次解矢量的第m个元素的计算权重为:Furthermore, in the reweighted l 1 norm algorithm, the calculation weight of the mth element of the k+1th solution vector is:

其中,表示划分的网络,k为迭代次数,∈表示算法稳健性的正参数。in, represents the partitioned network, k is the number of iterations, and ∈ represents a positive parameter for the robustness of the algorithm.

进一步地,得到伪目标辐射源点的定位结果后,还包括对伪目标辐射源点完全衰减或部分衰减。Furthermore, after obtaining the positioning result of the pseudo target radiation source point, the pseudo target radiation source point is completely attenuated or partially attenuated.

按照本发明的另一个方面,提供了一种基于阵列因子特征的伪目标辐射源判别系统,包括:According to another aspect of the present invention, a pseudo target radiation source discrimination system based on array factor characteristics is provided, comprising:

目标辐射源的图像重建模块,用于重建目标辐射源的图像;An image reconstruction module of a target radiation source, used for reconstructing an image of the target radiation source;

距离矩阵构建模块,用于遍历重建图像中的每个像素点,确定所述重建图像中每个源点的极大值及其所在位置,将所述极大值所在的位置视为该源点的位置,构建每个源点到其它源点的距离矩阵D;A distance matrix construction module is used to traverse each pixel point in the reconstructed image, determine the maximum value and the position of each source point in the reconstructed image, regard the position of the maximum value as the position of the source point, and construct a distance matrix D from each source point to other source points;

多天线阵列因子模型构建模块,用于建立多天线阵列因子模型图;A multi-antenna array factor model building module, used to build a multi-antenna array factor model diagram;

可疑源点在模型图上的位置确认模块,用于在阵列因子模型图上确定在一定误差范围内的相对强度最大的旁瓣点,将所述旁瓣点作为可疑源点,确定所述可疑源点在模型中的位置信息和分布特征;并根据所述位置信息以及主瓣在模型中的位置信息计算所述可疑源点到主瓣的距离dt,t为正整数;The position confirmation module of the suspected source point on the model diagram is used to determine the side lobe point with the largest relative intensity within a certain error range on the array factor model diagram, take the side lobe point as the suspected source point, determine the position information and distribution characteristics of the suspected source point in the model; and calculate the distance d t from the suspected source point to the main lobe according to the position information and the position information of the main lobe in the model, where t is a positive integer;

可疑源点在重建图像上的位置确认模块,用于在所述重建图像中,针对每个dt,遍历所述距离矩阵D中的每一列,标记距离在dt的误差范围内的源点为该源点的可疑源点;A position confirmation module for a suspicious source point on a reconstructed image, for traversing each column of the distance matrix D for each d t in the reconstructed image, and marking a source point whose distance is within the error range of d t as a suspicious source point of the source point;

伪目标辐射源点确定模块,统计每个源点对应的可疑源点的分布特征,当所述分布特征与在阵列因子模型中的分布特征一致时,确定所述可疑源点为该源点对应的伪目标辐射源点,得到伪目标辐射源点的定位结果。The pseudo target radiation source point determination module counts the distribution characteristics of the suspicious source points corresponding to each source point. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, the suspicious source point is determined to be the pseudo target radiation source point corresponding to the source point, and the positioning result of the pseudo target radiation source point is obtained.

进一步地,所述多天线阵列因子模型构建模块通过获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列Difference Coarray的分布构建多天线阵列因子模型图。Furthermore, the multi-antenna array factor model construction module obtains a difference correlation array Difference Coarray of the original sparse array of the multi-antenna, and constructs a multi-antenna array factor model graph according to the distribution of the difference correlation array Difference Coarray.

进一步地,所述目标辐射源的图像重建模块采用凸优化算法,获取重建后的目标辐射源的图像。Furthermore, the image reconstruction module of the target radiation source adopts a convex optimization algorithm to obtain a reconstructed image of the target radiation source.

进一步地,还包括图像处理模块,用于对伪目标辐射源点完全衰减或部分衰减。Furthermore, it also includes an image processing module for completely or partially attenuating the pseudo target radiation source point.

总体而言,通过本发明所构思的以上技术方案,能够取得以下有益效果:In general, the above technical solutions conceived by the present invention can achieve the following beneficial effects:

(1)本发明通过建立多天线阵列因子模型图,在阵列因子模型图上找到高度最高的一类旁瓣点,将其作为可疑源点,确定该类旁瓣点在阵列因子模型图上的位置信息和特征分布,在重建后的目标辐射源图像上,用实际的位置信息和模型图中获得的位置信息和分布特征进行对比,最终确定伪目标辐射源点在重建后的目标辐射源图像上的具体位置。相比现有的检测方式,本发明解决了因干扰源强度波动范围大产生的虚假源点的检测和处理问题,降低了在离散多目标的图像中辐射干扰源检测的虚警概率,提升了反演图像的可观性,有很高的应用价值。(1) The present invention establishes a multi-antenna array factor model diagram, finds a type of sidelobe point with the highest height on the array factor model diagram, takes it as a suspicious source point, determines the position information and characteristic distribution of this type of sidelobe point on the array factor model diagram, and compares the actual position information with the position information and distribution characteristics obtained in the model diagram on the reconstructed target radiation source image, and finally determines the specific position of the pseudo-target radiation source point on the reconstructed target radiation source image. Compared with the existing detection method, the present invention solves the detection and processing problems of false source points caused by the large fluctuation range of the interference source intensity, reduces the false alarm probability of radiation interference source detection in discrete multi-target images, improves the observability of the inversion image, and has high application value.

(2)进一步地,本发明在重建目标辐射源的图像时,采用重加权l1范数算法,能够增强辐射源的信号强度,同时抑制背景噪声,进一步提升检测与定位精度,可以应用于信号检测领域解决了邻近干扰源分辨率不足,位置聚集源无法检测与定位的问题。(2) Furthermore, when reconstructing the image of the target radiation source, the present invention adopts a reweighted l 1 norm algorithm, which can enhance the signal strength of the radiation source and suppress background noise, further improving the detection and positioning accuracy. It can be applied to the field of signal detection to solve the problem of insufficient resolution of neighboring interference sources and the inability to detect and locate position-aggregated sources.

总而言之,本发明提升目标辐射源检测方法的稳健性,在强弱源混合的情况下,筛选出伪目标辐射源,提升检测的精度,具有很高的应用价值。In summary, the present invention improves the robustness of the target radiation source detection method, screens out pseudo target radiation sources in the case of a mixture of strong and weak sources, improves the detection accuracy, and has high application value.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1为本发明提供的基于阵列因子特征的伪目标辐射源判别方法示意图。FIG1 is a schematic diagram of a pseudo target radiation source identification method based on array factor characteristics provided by the present invention.

图2为本发明实施例中原始稀疏阵列的结构。FIG. 2 is a structure of an original sparse array in an embodiment of the present invention.

图3为本发明实施例中原始稀疏阵列的Difference Coarray示意图。FIG. 3 is a schematic diagram of a Difference Coarray of an original sparse array according to an embodiment of the present invention.

图4为本发明实施例中冗余标记矩阵的元素值分布示意图。FIG. 4 is a schematic diagram of the distribution of element values of a redundant marking matrix according to an embodiment of the present invention.

图5为本发明实施例中重建的目标辐射源的图像。FIG. 5 is an image of a target radiation source reconstructed in an embodiment of the present invention.

图6为本发明实施例中阵列因子模型图。FIG. 6 is a diagram of an array factor model in an embodiment of the present invention.

图7为本发明实施例中最高旁瓣位置示意图。FIG. 7 is a schematic diagram of the position of the highest side lobe in an embodiment of the present invention.

图8为本发明实施例中的经过图像特征匹配处理后的实测目标辐射源检测与定位结果图。FIG8 is a diagram showing the detection and positioning results of the actual target radiation source after image feature matching processing in an embodiment of the present invention.

具体实施方式Detailed ways

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以相互组合。In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.

如图1所示,本发明提供的基于阵列因子特征的伪目标辐射源判别方法,包括:As shown in FIG1 , the pseudo target radiation source identification method based on array factor characteristics provided by the present invention includes:

重建目标辐射源的图像;reconstructing an image of the target radiation source;

遍历重建后的目标辐射源图像中的每个像素点,找到图像中每个源点的极大值及其所在位置,将极大值所在的位置视为该源点的位置(xi,yi),构建每个源点到其它源点的距离矩阵D:Traverse each pixel point in the reconstructed target radiation source image, find the maximum value and position of each source point in the image, regard the position of the maximum value as the position of the source point (x i , y i ), and construct the distance matrix D from each source point to other source points:

其中,Dij表示第i和第j个源点之间的坐标距离,i=1,2,3......,j=1,2,3......。Wherein, Dij represents the coordinate distance between the i-th and j-th source points, i=1,2,3..., j=1,2,3...

建立多传感器系统的天线阵列因子模型:获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列Difference Coarray的分布构建天线阵列因子模型图;Establish an antenna array factor model for a multi-sensor system: obtain the difference correlation array Difference Coarray of the original sparse array of multiple antennas, and construct an antenna array factor model diagram according to the distribution of the difference correlation array Difference Coarray;

在阵列因子模型图上确定可疑源点位置信息:在阵列因子模型图上找到高度最高的旁瓣点,该高度最高的旁瓣点也是辐射源在阵列因子模型图上的相对强度最大的旁瓣点,将该旁瓣点作为可疑源点,确定可疑源点在该模型中的位置信息和分布特征;根据可疑源点的位置信息以及主瓣的位置信息,计算可疑源点到主瓣的距离;根据所需的精度,在满足一定的误差范围内的相对强度最大的旁瓣点可能为多个,记该类可疑源点到主瓣的距离为dt,t为正整数。Determine the position information of the suspected source point on the array factor model diagram: find the sidelobe point with the highest height on the array factor model diagram, which is also the sidelobe point with the largest relative intensity of the radiation source on the array factor model diagram, take the sidelobe point as the suspected source point, and determine the position information and distribution characteristics of the suspected source point in the model; calculate the distance from the suspected source point to the main lobe based on the position information of the suspected source point and the position information of the main lobe; according to the required accuracy, there may be multiple sidelobe points with the largest relative intensity within a certain error range, and the distance from this type of suspected source point to the main lobe is recorded as d t , where t is a positive integer.

在目标辐射源的图像上确定可疑源点:针对每个dt,t为正整数,对距离矩阵D中的每一列,即每个源点到其它源点的距离进行遍历,满足距离在dt的误差范围内的源点,标记为该源点的可疑源点,直到距离矩阵D中的每一列均分别与t个参考距离对比完,得到每个源点对应的可疑源点的定位结果;其中,根据所需精度,dt取在一定误差范围内的数值。Determine the suspicious source points on the image of the target radiation source: for each d t , t is a positive integer, traverse each column in the distance matrix D, that is, the distance from each source point to other source points, and mark the source points whose distances are within the error range of d t as suspicious source points of the source point, until each column in the distance matrix D is compared with t reference distances respectively, and obtain the positioning result of the suspicious source point corresponding to each source point; wherein, according to the required accuracy, d t takes a value within a certain error range.

确定伪目标辐射源点:统计每个源点对应的可疑源点的分布特征,当该分布特征与在阵列因子模型中的分布特征一致时,确定满足分布特征一致的这些可疑源点为伪目标辐射源点,得到伪目标辐射源点的定位结果。本实施例中,可疑源点的分布特征为6个点六边形分布。Determine the false target radiation source point: Count the distribution characteristics of the suspicious source points corresponding to each source point. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, determine these suspicious source points that meet the consistent distribution characteristics as false target radiation source points, and obtain the positioning results of the false target radiation source points. In this embodiment, the distribution characteristics of the suspicious source points are 6-point hexagonal distribution.

对伪目标辐射源点进行处理:单独计算每个源点的伪目标辐射源点的数量n,根据具体的精度,对n大于一定数值的伪目标辐射源点完全衰减,对n小于该数值的伪目标辐射源点部分衰减。本实施例中,当n≥3时,对该源点的伪源点进行完全衰减,当n<3时,对该源点的伪源点部分衰减。Processing the pseudo target radiation source points: Calculate the number n of pseudo target radiation source points of each source point separately, and according to the specific accuracy, completely attenuate the pseudo target radiation source points whose n is greater than a certain value, and partially attenuate the pseudo target radiation source points whose n is less than the value. In this embodiment, when n≥3, the pseudo source points of the source point are completely attenuated, and when n<3, the pseudo source points of the source point are partially attenuated.

具体的,本发明中,重建目标辐射源的图像的步骤包括:Specifically, in the present invention, the step of reconstructing the image of the target radiation source includes:

步骤S1:利用多传感器系统获取多天线原始稀疏阵列的协方差矩阵,对该协方差矩阵冗余平均和矢量化来构建原始稀疏阵列的差相关阵列Difference Coarray信号接收模型,具体如下:,Step S1: using a multi-sensor system to obtain the covariance matrix of the original sparse array of multiple antennas, redundantly averaging and vectorizing the covariance matrix to construct a difference coarray signal receiving model of the original sparse array, as follows:

z′=D′(C)q+Ez′=D′(C)q+E

式中D′(C)表示Difference Coarray流型,维度为Nu×K,Nu表示阵列天线数量,K表示目标辐射源的个数,C表示K个目标辐射源来波方向余弦函数集合,E表示测量的噪声矩阵,其中,和e′1分别表示协方差矩阵冗余平均之后的自相关输出功率和对应单位矢量,q表示目标辐射源的位置向量。Where D′(C) represents the Difference Coarray flow type, the dimension is Nu ×K, Nu represents the number of array antennas, K represents the number of target radiation sources, C represents the set of cosine functions of the incoming waves of K target radiation sources, and E represents the measured noise matrix. in, and e′ 1 represent the autocorrelation output power and the corresponding unit vector after redundant averaging of the covariance matrix, respectively, and q represents the position vector of the target radiation source.

步骤S2:根据原始稀疏阵列的差相关阵列Difference Coarray和目标辐射源空域稀疏特性构建过完备字典,将目标辐射源的来波方向划分为网络Mg×Mg,其中,Mg>>K,过完备字典为D°(C°),表示划分的网格,将步骤S1中的信号接收模型拓展为基于Difference Coarray的目标辐射源稀疏重建模型:Step S2: construct an overcomplete dictionary based on the difference correlation array Difference Coarray of the original sparse array and the spatial sparse characteristics of the target radiation source, and divide the incoming wave direction of the target radiation source into a network M g ×M g , where M g >>K, and the overcomplete dictionary is D°(C°), Represents the divided grid, and expands the signal receiving model in step S1 into a sparse reconstruction model of the target radiation source based on Difference Coarray:

z′=D°(C°)q+Ez′=D°(C°)q+E

步骤S3:采用重加权l1范数算法进行到达角估计求解上述模型,得到重建目标辐射源的图像。Step S3: Use the reweighted l 1 norm algorithm to estimate the angle of arrival and solve the above model to obtain the image of the reconstructed target radiation source.

具体的,将上述稀疏重建问题凸松弛,可得:Specifically, by convexly relaxing the above sparse reconstruction problem, we can obtain:

式中,δ表示正则化参数。In the formula, δ represents the regularization parameter.

采用重加权l1范数模型对上述替换:Using the reweighted l1 norm model to replace the above:

式中,为加权系数向量,维度为Mg×MgIn the formula, is a weight coefficient vector with dimension M g ×M g .

其中,第k+1次解矢量第m个元素的计算权重为:Among them, the calculation weight of the mth element of the k+1th solution vector is:

式中,表示第k次重加权解矢量的第m个元素,k为迭代次数,∈表示算法稳健性的正参数。In the formula, It represents the mth element of the kth reweighted solution vector, k is the number of iterations, and ∈ represents a positive parameter of the robustness of the algorithm.

采用快速收敛阈值收敛算法和邻域加重权策略对替换后的模型进行求解;具体的:The fast convergence threshold convergence algorithm and neighborhood weighting strategy are used to solve the replaced model; specifically:

将上述替换后的模型变换为无约束条件求解模型:Transform the above replaced model into an unconstrained solution model:

其中,和W(k)表示第k次求解过程的解和权重矩阵,μ表示正则化参数。in, and W (k) represent the solution and weight matrix of the kth solution process, and μ represents the regularization parameter.

利用软阈值收敛求解上述无约束条件求解模型:Using soft threshold convergence to solve the above unconstrained condition solution model:

其中,表示第k次重加权过程中第p+1次迭代求解矢量。w(k)=diag(W(k))表示对角化的权重矩阵,参数α由Lipschitz常数L确定,即α=1/L,表示以元素方式进行软阈值化的向量收缩算子。in, represents the p+1th iteration solution vector in the kth reweighting process. w (k) = diag(W (k) ) represents the diagonalized weight matrix, and the parameter α is determined by the Lipschitz constant L, that is, α = 1/L. Represents a vector shrinkage operator that performs element-wise soft thresholding.

通过求解出的解,也即目标辐射源的位置向量q重建目标辐射源的图像。The image of the target radiation source is reconstructed by using the obtained solution, that is, the position vector q of the target radiation source.

本发明中,通过采用加权系数W对位置向量q加权,能够保证使信号源的强度增强,抑制背景噪声。In the present invention, by using the weighting coefficient W to weight the position vector q, it is possible to ensure that the strength of the signal source is enhanced and the background noise is suppressed.

本发明中,根据多传感器系统的天线阵列排布确定天线阵列因子模型:In the present invention, the antenna array factor model is determined according to the antenna array arrangement of the multi-sensor system:

式中,C(u,v)为二维梳状函数在矩形窗中的一部分,(l,m)为余弦坐标,为第r个和第s个天线的位置矢量。AF表示阵列因子,λ表示辐射源的波长.Where C(u,v) is a part of the two-dimensional comb function in the rectangular window, (l,m) is the cosine coordinate, and is the position vector of the rth and sth antennas. AF represents the array factor, and λ represents the wavelength of the radiation source.

本实施例中,对l和m在(-0.2,0.2)上分别均匀取400个点,代入上式计算,并绘图得到结果,得到天线阵列因子模型图。In this embodiment, 400 points are uniformly selected on (-0.2, 0.2) for l and m, respectively, and the results are calculated by plotting, thereby obtaining an antenna array factor model diagram.

本发明首先利用多传感器系统的原始稀疏阵列的Difference Coarray获得具有更大规模的虚拟阵列,构造原始稀疏阵列协方差矩阵,通过对当前协方差矩阵冗余平均和矢量化来构建Difference Coarray信号接收模型;根据原始稀疏阵列的DifferenceCoarray和目标辐射源空域稀疏特性构建过完备字典,建立基于虚拟展阵列的目标辐射源稀疏重建模型;基于过完备字典的目标辐射源稀疏重建模型采用重加权l1范数算法进行到达角估计,对目标辐射源进行检测与定位,即得到重建目标辐射源的图像。The present invention firstly uses the Difference Coarray of the original sparse array of the multi-sensor system to obtain a virtual array with a larger scale, constructs the covariance matrix of the original sparse array, and constructs the Difference Coarray signal receiving model by redundantly averaging and vectorizing the current covariance matrix; an over-complete dictionary is constructed according to the DifferenceCoarray of the original sparse array and the spatial sparse characteristics of the target radiation source, and a sparse reconstruction model of the target radiation source based on the virtual array is established; the sparse reconstruction model of the target radiation source based on the over-complete dictionary adopts a reweighted l 1 norm algorithm to estimate the arrival angle, detects and locates the target radiation source, and obtains the image of the reconstructed target radiation source.

当真实源点强度比较大,而图像中同时存在强度较弱源点时,需要降低判决门限,在强源的旁瓣位置会出现实际上不存在的虚假源点。根据测量亮温可视作真实目标的亮温与阵列因子的卷积的原理,建立多传感器系统的天线阵列因子模型。When the real source point is strong and there are weaker source points in the image, the decision threshold needs to be lowered, and false source points that do not actually exist will appear at the sidelobe position of the strong source. Based on the principle that the measured brightness temperature can be regarded as the convolution of the brightness temperature of the real target and the array factor, the antenna array factor model of the multi-sensor system is established.

本实施例中,得到重建目标辐射源的图像后,根据微波辐射计天线的阵列因子特征,找到在反演图像(即重建目标辐射源的图像)中因真实源点强度过大而在旁瓣位置产生的一类虚假源点,然后在重建目标辐射源的图像上对该类源点做出处理。In this embodiment, after obtaining the image of the reconstructed target radiation source, a type of false source points generated at the sidelobe position due to the excessive intensity of the real source points in the inversion image (i.e., the image of the reconstructed target radiation source) is found according to the array factor characteristics of the microwave radiometer antenna, and then this type of source points are processed on the image of the reconstructed target radiation source.

本实施例中,选取欧空局SMOS(Soil Moisture and Ocean Salinity)卫星搭载的“Y”型阵列作为原始稀疏阵列,阵元数为n′=69,其阵列结构与Difference Coarray(虚拟阵列)如图2和图3所示。In this embodiment, the "Y"-shaped array carried by the European Space Agency SMOS (Soil Moisture and Ocean Salinity) satellite is selected as the original sparse array, the number of array elements is n′=69, and its array structure and Difference Coarray (virtual array) are shown in Figures 2 and 3.

根据Difference Coarray的结构冗余特性确定冗余标记矩阵,以标记当前协方差矩阵中的冗余采样数据,其矩阵维度为931×931,其元素分布如图4所示。According to the structural redundancy characteristics of Difference Coarray, a redundant marking matrix is determined to mark the redundant sampling data in the current covariance matrix. The matrix dimension is 931×931, and its element distribution is shown in FIG4 .

对冗余平均之后的协方差矩阵进行矢量化,得到虚拟阵列信号接收模型,即Difference Coarray信号接收模型。The covariance matrix after redundant averaging is vectorized to obtain a virtual array signal receiving model, namely, a Difference Coarray signal receiving model.

根据虚拟信号接收模型和目标辐射源空域稀疏特性构建过完备字典,利用过完备字典得到目标辐射源稀疏重构模型。An over-complete dictionary is constructed according to the virtual signal receiving model and the spatial sparse characteristics of the target radiation source, and the sparse reconstruction model of the target radiation source is obtained using the over-complete dictionary.

利用邻域重加权概念构建重加权l1范数的目标辐射源稀疏重构模型,采用快速迭代阈值收敛算法求解,检测与定位结果如图5所示,图中ζ、η为余弦坐标。The concept of neighborhood reweighting is used to construct a reweighted l 1 norm sparse reconstruction model of the target radiation source, and the fast iterative threshold convergence algorithm is used to solve it. The detection and positioning results are shown in Figure 5, where ζ and η are cosine coordinates.

利用SMOS卫星搭载的“Y”型阵列建立的阵列因子模型图如图6所示,其中最高的一类旁瓣位置如图7所示。The array factor model established using the “Y”-shaped array carried by the SMOS satellite is shown in FIG6 , where the position of the highest type of sidelobe is shown in FIG7 .

根据位置信息对定位结果图中可疑假阳性源点进行处理,处理后的实测目标辐射源检测与定位结果如图8所示。从图中可以看到,对可疑源点进行处理后,明显去除了因真实源点强度过大而在旁瓣位置产生的一类虚假源点,具有良好的检测与定位效果,提升了图像的可观性。The suspicious false positive source points in the positioning result map are processed according to the position information, and the measured target radiation source detection and positioning results after processing are shown in Figure 8. It can be seen from the figure that after processing the suspicious source points, a type of false source points generated in the sidelobe position due to the excessive intensity of the real source points are obviously removed, with good detection and positioning effects, and the observability of the image is improved.

在其它实施例中,也可以采用其它的凸优化算法来获取重建后的目标辐射源的图像。In other embodiments, other convex optimization algorithms may also be used to obtain the reconstructed image of the target radiation source.

本发明提供的实施例中,获得的检测结果说明上述基于阵列因子特征的伪目标辐射源判别及图像处理方法具有较好的空间分辨率和检测精度性能,并能够解决强度动态大(即强源和弱源同时存在)的情形下强度较弱的目标辐射源检测与定位,在实际目标辐射源检测与定位应用中具有较高的鲁棒性。In the embodiment provided by the present invention, the detection results obtained indicate that the above-mentioned pseudo-target radiation source discrimination and image processing method based on array factor characteristics has good spatial resolution and detection accuracy performance, and can solve the detection and positioning of target radiation sources with weaker intensity under the condition of large intensity dynamics (i.e., strong sources and weak sources exist at the same time), and has high robustness in actual target radiation source detection and positioning applications.

本发明还提供了一种基于阵列因子特征的伪目标辐射源判别系统,包括:The present invention also provides a pseudo target radiation source identification system based on array factor characteristics, comprising:

目标辐射源的图像重建模块,用于重建目标辐射源的图像;An image reconstruction module of a target radiation source, used for reconstructing an image of the target radiation source;

距离矩阵构建模块,用于遍历重建图像中的每个像素点,确定重建图像中每个源点的极大值及其所在位置,将极大值所在的位置视为该源点的位置,构建每个源点到其它源点的距离矩阵D;The distance matrix construction module is used to traverse each pixel point in the reconstructed image, determine the maximum value and position of each source point in the reconstructed image, regard the position of the maximum value as the position of the source point, and construct the distance matrix D from each source point to other source points;

多天线阵列因子模型构建模块,用于建立多天线阵列因子模型图;A multi-antenna array factor model building module, used to build a multi-antenna array factor model diagram;

可疑源点在模型图上的位置确认模块,用于在阵列因子模型图上确定在一定误差范围内的相对强度最大的旁瓣点,将旁瓣点作为可疑源点,确定可疑源点在模型中的位置信息和分布特征;并根据位置信息以及主瓣在模型中的位置信息计算可疑源点到主瓣的距离dt,t为正整数;The position confirmation module of the suspected source point on the model diagram is used to determine the side lobe point with the largest relative intensity within a certain error range on the array factor model diagram, take the side lobe point as the suspected source point, determine the position information and distribution characteristics of the suspected source point in the model; and calculate the distance d t from the suspected source point to the main lobe according to the position information and the position information of the main lobe in the model, where t is a positive integer;

可疑源点在重建图像上的位置确认模块,用于在重建图像中,针对每个dt,遍历距离矩阵D中的每一列,标记距离在dt的误差范围内的所有源点为该源点的可疑源点;A position confirmation module of a suspicious source point on a reconstructed image is used to traverse each column of the distance matrix D for each d t in the reconstructed image, and mark all source points whose distances are within the error range of d t as suspicious source points of the source point;

伪目标辐射源点确定模块,统计每个源点对应的可疑源点的分布特征,当分布特征与在阵列因子模型中的分布特征一致时,确定可疑源点为该源点对应的伪目标辐射源点,得到伪目标辐射源点的定位结果。The pseudo target radiation source point determination module counts the distribution characteristics of the suspicious source points corresponding to each source point. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, the suspicious source point is determined to be the pseudo target radiation source point corresponding to the source point, and the positioning result of the pseudo target radiation source point is obtained.

具体的,多天线阵列因子模型构建模块通过获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列Difference Coarray的分布构建多天线阵列因子模型图。Specifically, the multi-antenna array factor model building module obtains the difference correlation array Difference Coarray of the original sparse array of the multi-antenna, and builds the multi-antenna array factor model graph according to the distribution of the difference correlation array Difference Coarray.

具体的,目标辐射源的图像重建模块采用凸优化算法,获取重建后的目标辐射源的图像。Specifically, the image reconstruction module of the target radiation source adopts a convex optimization algorithm to obtain a reconstructed image of the target radiation source.

目标辐射源的图像重建模重建目标辐射源的图像的步骤包括:The steps of reconstructing the image of the target radiation source include:

步骤S1、获取多天线原始稀疏阵列的协方差矩阵,对协方差矩阵冗余平均和矢量化来构建原始稀疏阵列的差相关阵列Difference Coarray信号接收模型;Step S1, obtaining the covariance matrix of the original sparse array of multiple antennas, and constructing a difference coarray signal receiving model of the original sparse array by redundantly averaging and vectorizing the covariance matrix;

步骤S2、以原始稀疏阵列的差相关阵列Difference Coarray和目标辐射源空域稀疏特性为约束条件,将目标辐射源的来波方向划分为网络,得到过完备字典;Step S2, using the difference correlation array Difference Coarray of the original sparse array and the spatial sparse characteristics of the target radiation source as constraints, dividing the incoming wave direction of the target radiation source into networks to obtain an over-complete dictionary;

步骤S3、基于过完备字典,将步骤S1中的模型拓展为基于Difference Coarray的目标辐射源稀疏重建模型;Step S3, based on the overcomplete dictionary, the model in step S1 is expanded into a sparse reconstruction model of the target radiation source based on Difference Coarray;

步骤S4、采用重加权l1范数算法求解上述模型,得到重建目标辐射源的图像。Step S4: Use the reweighted l 1 norm algorithm to solve the above model to obtain an image of the reconstructed target radiation source.

具体的,还包括图像处理模块,用于对伪目标辐射源点完全衰减或部分衰减。Specifically, it also includes an image processing module, which is used to completely attenuate or partially attenuate the pseudo target radiation source point.

本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,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。It will be easily understood by those skilled in the art that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims (10)

1.一种基于阵列因子特征的伪目标辐射源判别方法,其特征在于,包括:1. A method for distinguishing a pseudo target radiation source based on array factor characteristics, characterized by comprising: 重建目标辐射源的图像;reconstructing an image of the target radiation source; 遍历重建图像中的每个像素点,确定所述重建图像中每个源点的极大值及其所在位置,将所述极大值所在的位置视为该源点的位置,构建每个源点到其它源点的距离矩阵D;Traverse each pixel point in the reconstructed image, determine the maximum value and position of each source point in the reconstructed image, regard the position of the maximum value as the position of the source point, and construct a distance matrix D from each source point to other source points; 建立多天线阵列因子模型图;Establish a multi-antenna array factor model diagram; 在阵列因子模型图上,确定在一定误差范围内的相对强度最大的旁瓣点,将所述旁瓣点作为可疑源点,确定所述可疑源点在模型中的位置信息和分布特征;并根据所述位置信息以及主瓣在模型中的位置信息计算所述可疑源点到主瓣的距离dt,t为正整数;On the array factor model diagram, determine the side lobe point with the largest relative intensity within a certain error range, take the side lobe point as a suspected source point, determine the position information and distribution characteristics of the suspected source point in the model; and calculate the distance d t from the suspected source point to the main lobe according to the position information and the position information of the main lobe in the model, where t is a positive integer; 在所述重建图像上,针对每个dt,遍历所述距离矩阵D中的每一列,标记距离在dt的误差范围内的源点为该源点的可疑源点;On the reconstructed image, for each d t , traverse each column in the distance matrix D, and mark the source point whose distance is within the error range of d t as the suspicious source point of the source point; 统计每个源点对应的可疑源点的分布特征,当所述分布特征与在阵列因子模型中的分布特征一致时,确定所述可疑源点为该源点对应的伪目标辐射源点,得到伪目标辐射源点的定位结果。The distribution characteristics of the suspicious source points corresponding to each source point are counted. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, the suspicious source point is determined to be the pseudo target radiation source point corresponding to the source point, and the positioning result of the pseudo target radiation source point is obtained. 2.根据权利要求1所述的方法,其特征在于,通过获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列Difference Coarray的分布构建所述多天线阵列因子模型图。2. The method according to claim 1 is characterized in that the multi-antenna array factor model diagram is constructed according to the distribution of the difference correlation array Difference Coarray by obtaining the difference correlation array Difference Coarray of the multi-antenna original sparse array. 3.根据权利要求2所述的方法,其特征在于,采用凸优化算法来获取重建后的目标辐射源的图像。3. The method according to claim 2 is characterized in that a convex optimization algorithm is used to obtain the reconstructed image of the target radiation source. 4.根据权利要求3所述的方法,其特征在于,重建目标辐射源的图像的步骤包括:4. The method according to claim 3, wherein the step of reconstructing the image of the target radiation source comprises: 步骤S1、获取多天线原始稀疏阵列的协方差矩阵,对所述协方差矩阵冗余平均和矢量化来构建原始稀疏阵列的差相关阵列Difference Coarray信号接收模型;Step S1, obtaining a covariance matrix of an original sparse array of multiple antennas, redundantly averaging and vectorizing the covariance matrix to construct a difference coarray signal receiving model of the original sparse array; 步骤S2、以原始稀疏阵列的差相关阵列Difference Coarray和目标辐射源空域稀疏特性为约束条件,将目标辐射源的来波方向划分为网络,得到过完备字典;Step S2, using the difference correlation array Difference Coarray of the original sparse array and the spatial sparse characteristics of the target radiation source as constraints, dividing the incoming wave direction of the target radiation source into networks to obtain an over-complete dictionary; 步骤S3、基于所述过完备字典,将步骤S1中的模型拓展为基于Difference Coarray的目标辐射源稀疏重建模型;Step S3, based on the overcomplete dictionary, expanding the model in step S1 into a sparse reconstruction model of the target radiation source based on Difference Coarray; 步骤S4、采用重加权l1范数算法求解上述模型,得到重建目标辐射源的图像。Step S4: Use the reweighted l 1 norm algorithm to solve the above model to obtain an image of the reconstructed target radiation source. 5.根据权利要求4所述的方法,其特征在于,所述重加权l1范数算法中,第k+1次解矢量的第m个元素的计算权重为:5. The method according to claim 4, characterized in that, in the reweighted l 1 norm algorithm, the calculation weight of the mth element of the k+1th solution vector is: 其中,表示划分的网络,k为迭代次数,∈表示算法稳健性的正参数。in, represents the partitioned network, k is the number of iterations, and ∈ represents a positive parameter for the robustness of the algorithm. 6.根据权利要求1-5任意一项所述的方法,其特征在于,得到伪目标辐射源点的定位结果后,还包括对伪目标辐射源点完全衰减或部分衰减。6. The method according to any one of claims 1-5 is characterized in that after obtaining the positioning result of the pseudo target radiation source point, it also includes completely attenuating or partially attenuating the pseudo target radiation source point. 7.一种基于阵列因子特征的伪目标辐射源判别系统,其特征在于,包括:7. A pseudo target radiation source identification system based on array factor characteristics, characterized by comprising: 目标辐射源的图像重建模块,用于重建目标辐射源的图像;An image reconstruction module of a target radiation source, used for reconstructing an image of the target radiation source; 距离矩阵构建模块,用于遍历重建图像中的每个像素点,确定所述重建图像中每个源点的极大值及其所在位置,将所述极大值所在的位置视为该源点的位置,构建每个源点到其它源点的距离矩阵D;A distance matrix construction module is used to traverse each pixel point in the reconstructed image, determine the maximum value and the position of each source point in the reconstructed image, regard the position of the maximum value as the position of the source point, and construct a distance matrix D from each source point to other source points; 多天线阵列因子模型构建模块,用于建立多天线阵列因子模型图;A multi-antenna array factor model building module, used to build a multi-antenna array factor model diagram; 可疑源点在模型图上的位置确认模块,用于在阵列因子模型图上确定在一定误差范围内的相对强度最大的旁瓣点,将所述旁瓣点作为可疑源点,确定所述可疑源点在模型中的位置信息和分布特征;并根据所述位置信息以及主瓣在模型中的位置信息计算所述可疑源点到主瓣的距离dt,t为正整数;The position confirmation module of the suspected source point on the model diagram is used to determine the side lobe point with the largest relative intensity within a certain error range on the array factor model diagram, take the side lobe point as the suspected source point, determine the position information and distribution characteristics of the suspected source point in the model; and calculate the distance d t from the suspected source point to the main lobe according to the position information and the position information of the main lobe in the model, where t is a positive integer; 可疑源点在重建图像上的位置确认模块,用于在所述重建图像中,针对每个dt,遍历所述距离矩阵D中的每一列,标记距离在dt的误差范围内的源点为该源点的可疑源点;A position confirmation module for a suspicious source point on a reconstructed image, for traversing each column of the distance matrix D for each d t in the reconstructed image, and marking a source point whose distance is within the error range of d t as a suspicious source point of the source point; 伪目标辐射源点确定模块,统计每个源点对应的可疑源点的分布特征,当所述分布特征与在阵列因子模型中的分布特征一致时,确定所述可疑源点为该源点对应的伪目标辐射源点,得到伪目标辐射源点的定位结果。The pseudo target radiation source point determination module counts the distribution characteristics of the suspicious source points corresponding to each source point. When the distribution characteristics are consistent with the distribution characteristics in the array factor model, the suspicious source point is determined to be the pseudo target radiation source point corresponding to the source point, and the positioning result of the pseudo target radiation source point is obtained. 8.根据权利要求7所述的系统,其特征在于,所述多天线阵列因子模型构建模块通过获取多天线原始稀疏阵列的差相关阵列Difference Coarray,根据差相关阵列DifferenceCoarray的分布构建多天线阵列因子模型图。8. The system according to claim 7 is characterized in that the multi-antenna array factor model construction module obtains the difference correlation array Difference Coarray of the original sparse array of the multi-antenna, and constructs the multi-antenna array factor model diagram according to the distribution of the difference correlation array Difference Coarray. 9.根据权利要求8所述的系统,其特征在于,所述目标辐射源的图像重建模块采用凸优化算法,获取重建后的目标辐射源的图像。9. The system according to claim 8, characterized in that the image reconstruction module of the target radiation source adopts a convex optimization algorithm to obtain the reconstructed image of the target radiation source. 10.根据权利要求7-9任意一项所述的系统,其特征在于,还包括图像处理模块,用于对伪目标辐射源点完全衰减或部分衰减。10. The system according to any one of claims 7 to 9, further comprising an image processing module for completely or partially attenuating a pseudo target radiation source point.
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