基于Nyström的一种新颖的DOA估计算法  

A Novel DOA Estimation Algorithm Based on Nyström

作　　者：马腾 杜江[1,2] 乔理扬 黄天赐 MA Teng;DU Jiang;QIAO Liyang;HUANG Tianci(College of Communication Engineering,Chengdu University of Information Technology,Chengdu 610225,China;Meteorological Information and Signal Processing Key Laboratory of Sichuan Education Institutes,Chengdu 610225,China;College of Electrical Engineering,Sichuan University,Chengdu 610065,China)

机构地区：[1]成都信息工程大学通信工程学院,四川成都610225 [2]气象信息与信号处理四川省高校重点实验室,四川成都610225 [3]四川大学电气工程学院,四川成都610065

出　　处：《无线电工程》2022年第4期562-568,共7页Radio Engineering

基　　金：四川省教育厅高校创新团队项目基金(15TD0022);四川省科技厅科技创新研发专项(2014RZ0017)。

摘　　要：针对阵列信号处理领域中的超分辨子空间类算法需计算阵列输出的协方差、协方差矩阵的特征分解及进行谱峰搜索得到波达方向(Direction of Arrival,DOA)估计,计算量较大则实际应用可能受限,提出了一种低计算复杂度的新颖的无需谱峰搜索的DOA估计算法。通过Nyström方法得到逼近的信号子空间,避免了直接对所有阵列输出计算协方差及对其特征分解从而降低了运算量。通过逼近的信号子空间构建低阶的关于DOA的特征多项式方程,对此低阶多项式方程求根得到DOA估计进一步降低了运算量,且不同于现有的DOA估计求根算法。理论分析和仿真结果表明,所提算法有着良好的估计精度及较低的计算复杂度。The super-resolution subspace algorithms in the field of array signal processing need to calculate the covariance of array output,the eigen-decomposition of the covariance matrix of the array output and perform spectral peak search to obtain direction of arrival(DOA)estimation,which may be limited in practical application due to the high computational complexity.A novel DOA estimation algorithm with low computational complexity and no need for spectral peak search is proposed.The approximate signal subspace is obtained by Nyström method,which avoids directly calculating the covariance and its eigen-decomposition for all the array outputs,thus reducing the computational complexity.Then,a DOA-dependent low-order characteristic polynomial equation is constructed through the approximate signal subspace,and the DOA estimation is obtained by rooting this low-order polynomial equation,which further reduces the computational complexity and is different from the existing DOA estimation algorithms based on polynomial root.Theoretical analysis and simulation results show that the proposed algorithm has good estimation accuracy and low computational complexity.

关 键 词：阵列信号处理 波达方向估计 Nyström方法 低阶多项式方程 低计算复杂度 

分 类 号：TN911[电子电信—通信与信息系统]