最优冗余线阵欠定信号双重构DOA估计方法  

Underdetermined DOA estimation of optimal redundancy array via double reconstruction

作　　者：王庚[1] 李浩[1] 何翼 冯明月[1] 陈昌孝[1] WANG Geng;LI Hao;HE Yi;FENG Mingyue;CHEN Changxiao(Air Force Early Warning Academy,Wuhan 430019,China;Naval Research Academy,Beijing 100161,China)

机构地区：[1]空军预警学院,湖北武汉430019 [2]海军研究院,北京100161

出　　处：《系统工程与电子技术》2023年第1期49-55,共7页Systems Engineering and Electronics

基　　金：湖北省自然科学基金(2019CFB383);军内计划科研项目(KJ20191A050339);空军预警学院厚基工程资助课题。

摘　　要：针对最小冗余线阵难以用于阵列设计的问题,设计了一种性能相近的最优冗余线阵,为实现相应阵列的欠定信号到达角(direction of arrival,DOA)估计,又提出了一种基于两次重构的快速协方差向量稀疏表示方法。该方法利用凸优化中最优解条件,实现了Toeplitz协方差矩阵的快速高精度重构,进而基于构造的协方差向量稀疏表示模型,实现了欠定信号DOA估计。仿真结果证明,最优冗余线阵相较于其他稀疏线阵,耦合影响更低,测向精度更高,所提算法较同类算法DOA估计精度更高。In order to solve the problem that the minimum redundancy array is hard to be applied in array design,a novel optimal redundancy array with similar performance is designed and fast covariance vector sparse reconstruction(FCVSR)based on double reconstruction is proposed to achieve underdetermined direction of arrival(DOA)estimation.Firstly,according to the optimal solution in convex optimization,fast Toeplitz covariance matrix reconstruction is achieved with high precision.Then,based on the proposed covariance vector sparse representation model,underdetermined DOA estimation is achieved.Simulation results show that the optimal redundancy array has lower mutual coupling effect and higher precision performance than the other sparse linear array,while the proposed algorithm has higher estimation accuracy than the existing methods.

关 键 词：到达角估计 最优冗余线阵 稀疏重构 

分 类 号：TN971[电子电信—信号与信息处理]