基于扩展互质阵的相干信号低复杂度DOA估计  

Low-Complexity DOA Estimation for Coherent Signals Based on Extended Coprime Array

作　　者：曹泽坤 张一鸣 张国炜 邱天[1] CAO Zekun;ZHANG Yiming;ZHAN Guowei;QIU Tian(Xi'an Electronics and Engineering Research Institute,Xi'an 710100)

机构地区：[1]西安电子工程研究所,西安710100

出　　处：《火控雷达技术》2025年第1期67-72,78,共7页Fire Control Radar Technology

摘　　要：针对相同阵元规模条件下均匀线阵阵列孔径小、测向精度低和分辨力差,以及现有稀疏阵列波达方向(Direction-of-Arrival,DOA)估计算法大多基于非相干信源假设的问题,,本文提出了一种基于扩展互质阵的协方差矩阵重构方法。该方法首先对向量化后的协方差矩阵进行冗余消除,然后将互质阵的最大连续虚拟均匀线阵转化为Hermitian Toeplitz矩阵,最终采用多重信号分类算法(Multiple Signal Classification,MUSIC)完成DOA估计。仿真结果表明,该算法在稀疏阵列场景下,能够以较低的时间复杂度有效估计相干信号的DOA,且与前后向平滑(Forward-Backward Spatial Smoothing,FBSS)算法和原子范数最小化(Atomic Norm Minimization,ANM)算法相比,本文算法能实现更高精度的DOA估计。To address the limitations of uniform linear arrays,such as small aperture,low direction-finding accuracy,and poor resolution,as well as the assumption of incoherent sources in most existing sparse array Direction-of-Arrival(DOA)estimation algorithms,a covariance matrix reconstruction method was propose based on an extended coprime array.First,the redundant elements in the vectorized covariance matrix were removed.Then,the largest continuous virtual uniform linear array of the coprime array was reconstructed into a Hermitian Toeplitz matrix.Finally,the Multiple Signal Classification(MUSIC)algorithm was used for DOA estimation.Simulation results demonstrate that the proposed algorithm can achieve DOA estimation for coherent signals using sparse arrays with low computational complexity.Compared with the Forward-Backward Spatial Smoothing(FBSS)algorithm and the Atomic Norm Minimization(ANM)algorithm,the proposed method achieved higher DOA estimation accuracy.

关 键 词：DOA估计 稀疏阵列 相干信号 Hermitian Toeplitz矩阵 MUSIC算法 

分 类 号：TN953[电子电信—信号与信息处理]