基于协方差矩阵加权截断核范数的DOA估计  

DOA Estimation Based on Weighted Truncated Nuclear Norm of Covariance Matrix

作　　者：贺顺[1] 张一沫 杨志伟[2] 张旭阳 HE Shun;ZHANG Yimo;YANG Zhiwei;ZHANG Xuyang(College of Communication and Information Engineering,Xi'an University of Science and Technology,Xi'an Shaanxi 710054,China;National Laboratory of Radar Signal Processing,Xidian University,Xi'an Shaanxi 710071,China)

机构地区：[1]西安科技大学通信与信息工程学院,陕西西安710054 [2]西安电子科技大学雷达信号处理国家重点实验室,陕西西安710071

出　　处：《现代雷达》2023年第7期51-55,共5页Modern Radar

基　　金：国家自然科学基金资助项目(61801373);西安科技大学博士(后)启动金资助项目(2017QDJ018);“认知无线电与信息处理”教育部重点实验室2016年开放基金资助项目(CRKL160206)。

摘　　要：针对互质阵列通过差联合处理得到具有高自由度的虚拟阵列存在空洞位置,导致子空间类算法不适用、阵元利用率不足等问题,文中提出了一种基于加权截断核范数的协方差矩阵重构的波达方向(DOA)估计算法。该算法首先根据虚拟域信号表达式和空洞位置构建待填充矩阵;然后,利用最小化加权截断核范数实现阵列插值;最后,迭代重构接收信号协方差矩阵得到角度功率谱估计。仿真结果表明:所提算法可快速准确地实现DOA参数估计,相比基于最小化核范数和截断核函数正则化的DOA估计算法,该算法具有良好的鲁棒性,在快拍数小和信噪比低的情况下均具有较高的估计精度。The hole will exist in virtual arrays with high degrees of freedom obtained by coprime arrays through difference joint processing,which results in unsuitable subspace algorithms and insufficient utilization of array elements.To solve these problems,a direction of arrival(DOA)estimation algorithm based on the weighted truncated nuclear norm of covariance matrix reconstruction is proposed.Firstly,the matrix to be filled is constructed according to the expression of the virtual domain signal and the position of the hole.Then the array interpolation is realized by using the minimized weighted truncated nuclear norm.Finally,the angle power spectrum estimation is obtained according to the reconstructed received signal covariance matrix.Simulation results show that the proposed algorithm can quickly and accurately estimate DOA parameters.Compared with DOA estimation algorithms based on NNM and TNNR,the proposed method has good robustness and high estimation accuracy in the case of small snapshots and low signal-to-noise ratio.

关 键 词：互质阵列 虚拟阵列插值 波达方向估计 稀疏阵列 矩阵填充 

分 类 号：TN957.51[电子电信—信号与信息处理]