基于SVT的广义斜投影三维极化滤波方法  

Three-dimensional polarization filtering method of generalized oblique projection based on SVT

作　　者：王栗沅 何华锋 何耀民 韩晓斐 李震 WANG Liyuan;HE Huafeng;HE Yaomin;HAN Xiaofei;LI Zhen(College of Missile Engineering,Rocket Force University of Engineer,Xi’an 710025,China)

机构地区：[1]火箭军工程大学导弹工程学院,西安710025

出　　处：《北京航空航天大学学报》2025年第2期633-643,共11页Journal of Beijing University of Aeronautics and Astronautics

摘　　要：针对不同噪声背景下广义斜投影滤波存在滤波“死角”,且易受噪声协方差矩阵估计误差影响的问题,提出了一种基于奇异值阈值(SVT)的广义斜投影极化-空域联合滤波方法。以均匀圆阵极化敏感阵列为基础建立阵列接收信号模型;利用最小化干扰约束广义斜投影算子设计广义斜投影三维极化滤波器;在干扰参数未知的情况下,提出了一种基于SVT的滤波权矢量计算方法;通过对滤波器性能进行理论分析并与三种同类方法仿真对比,结果表眀:基于SVT的广义斜投影三维极化滤波方法能够在无需估计噪声协方差矩阵的条件下实现干扰抑制并恢复出目标信号。The generalized oblique projection filter has a“blind area of filtering”and is easily influenced by the estimation error of the noise covariance matrix in different noise backgrounds.To address these issues,a generalized oblique projection polarization-spatial domain joint filtering method based on singular value thresholding(SVT)was proposed.Firstly,based on the uniform circular array polarization-sensitive array,the received signal model of the array was established.Secondly,the three-dimensional polarization filter of the generalized oblique projection was designed by using the minimized interference constrained generalized oblique projection operator with minimal interference constraints.Then,under the condition of unknown interference parameters,a filtering weight vector calculation method based on SVT was proposed.Finally,through the theoretical analysis of the filter performance and the simulation comparison with three similar algorithms,the results show that the three-dimensional polarization filtering method of generalized oblique projection based on SVT can suppress interference and recover the target signal without estimating the noise covariance matrix.

关 键 词：阵列信号处理 斜投影 低秩矩阵恢复 线性约束最小方差 奇异值阈值算子 

分 类 号：TN911.7[电子电信—通信与信息系统]