山西大学学报（自然科学版）2025，Vol.48Issue(3)：565-577,13.DOI:10.13451/j.sxu.ns.2024034
基于QR分解的正则化回溯匹配追踪算法DOA估计
DOA Estimation of Regularization Backtracking Algorithms Based on QR Decomposition
摘要
Abstract
A matching pursuit algorithm for regularization backtracking based on QR decomposition(QR-RBMP)is proposed in this paper to solve the problems of low precision of directional of arrival(DOA)estimation in the cases of low signal noise ratio(SNR),small snapshot and coherent signals.Firstly,the algorithm is performed on sensing matrix by QR decomposition to increase the inde-pendence of the sensing matrix.Then,the regularization idea and backtracking mechanism are used to optimize matching pursuit al-gorithm to improve the signal reconstruction precision.The regularization idea carries out secondary screening on the atoms initially selected by the matching tracking algorithm,and selects the most relevant atoms with the largest energy.The backtracking idea car-ries out secondary screening on the atoms selected by the regularization,deletes the incorrect atoms,improves the correctness of the selected atoms,and thus improves the reconstruction accuracy of the matching tracking algorithm.Finally,we obtain the reconstruct-ed signal.The position of the non-zero element of the signal is the result of DOA estimation.Through a series of simulation experi-ments,the proposed algorithm is compared with MUSIC algorithm,regularized orthogonal matching pursuit algorithm(ROMP),subspace tracking algorithm,SP algorithm without Square Root(ISP)and energy sorting based backtracking regularized matching pursuit algorithm(ESBRMP)based on RMSE and POR.The results show that the proposed algorithm reduces the RMSE by 42%and improves the POR by 8%compared with the existing optimal methods under the same conditions.关键词
波达方向估计/嵌套阵列/矩阵分解/正则化思想/回溯机制/压缩感知Key words
DOA estimation/nested array/matrix decomposition/regularization idea/backtracking mechanism/compressed sensing分类
信息技术与安全科学引用本文复制引用
张宁宁,张骄..基于QR分解的正则化回溯匹配追踪算法DOA估计[J].山西大学学报（自然科学版）,2025,48(3):565-577,13.基金项目
广东省光纤传感与通信技术重点实验室开放基金资助(01110122120181) （01110122120181）
