基于原子范数最小化的极化敏感阵列DOA估计  

DOA Estimation of Polarization Sensitive Array Based on Atomic Norm Minimization

作　　者：陈涛[1] 李敏行 郭立民[1] 申梦雨 CHEN Tao;LI Min-xing;GUO Li-min;SHEN Meng-yu(College of Information and Communication Engineering,Harbin Engineering University,Harbin,Heilongjiang 150001,China)

机构地区：[1]哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨150001

出　　处：《电子学报》2023年第4期835-842,共8页Acta Electronica Sinica

基　　金：国家自然科学基金(No.62071137)。

摘　　要：为了提高极化敏感阵列中压缩感知类波达方向(Direction Of Arrival,DOA)估计算法的精度,避免网格失配问题,本文使用正交偶极子阵列在原子范数最小化(Atomic Norm Minimization,ANM)的理论基础上提出一种无网格波达方向估计算法.首先,将一维正交偶极子天线接收到的多快拍信号分解为两个子阵再求和,然后通过解决半正定规划问题恢复出一个含有入射信源信息的半正定Toeplitz矩阵,继而对该矩阵进行Vandermonde分解,恢复入射信源的DOA信息.同时结合协方差矩阵的向量化结果和最小二乘法计算得到入射信源的极化辅助角和极化相位角信息.通过仿真实验,在不同快拍数和信噪比下,对比子空间类算法和压缩感知类算法,证明了该算法具有较高的测角精度.In order to improve the accuracy of the compressed sensing direction of arrival(DOA)estimation algo-rithm in polarization-sensitive arrays and avoid the off-grid problem,this paper proposes a gridless direction estimation al-gorithm using orthogonal dipole arrays based on the theory of atomic norm minimization(ANM).First,the multi-snapshot signal received by the one-dimensional-orthogonal dipole antenna is decomposed into two sub-arrays to be then added up.Then,a semi-definite programming problem is solved to recover a semi-definite Toeplitz matrix containing the information of the incident source,followed by a Vandermonde decomposition of this matrix to recover the DOA information of incom-ing.At the same time,the covariance matrix vectorization results and the least-squares method are combined to calculate the polarization angle and polarization phase information.By comparing the subspace algorithm and the compressed sens-ing algorithm under different snapshot numbers and signal-to-noise ratios through simulation experiments,it is proved that the algorithm has a high accuracy of angle measurement.

关 键 词：波达方向估计 正交偶极子阵列 网格失配 原子范数最小化 

分 类 号：TN91[电子电信—通信与信息系统]