[1]郭锦荣,荣景岳,赵欣洒,等.基于 Toeplitz 矩阵重构的相干信源 DOA 估计算法[J].机械与电子,2025,(09):10-16.
　GUO Jinrong,RONG Jingyue,ZHAO Xinsa,et al.Coherent Source DOA Estimation Algorithm Based on Toeplitz Matrix Reconstruction[J].Machinery & Electronics,2025,(09):10-16.
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基于 Toeplitz 矩阵重构的相干信源 DOA 估计算法
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《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
期数:
2025年09期
页码:
10-16
栏目:
研究与设计
出版日期:
2025-09-25

文章信息/Info

Title:
Coherent Source DOA Estimation Algorithm Based on Toeplitz Matrix Reconstruction
文章编号:
1001-2257 ( 2025 ) 09-0010-07
作者:
郭锦荣; 荣景岳; 赵欣洒; 张 权; 张鹏程; 韩建宁
中北大学信息与通信工程学院,山西 太原 030051
Author(s):
GUO Jinrong ;  RONG Jingyue ;  ZHAO Xinsa ;  ZHANG Quan ;  ZHANG Pengcheng ;  HAN Jianning
( College of Information and Communication Engineering , North Central University , Taiyuan 030051 , China )
关键词:
相干信号; 噪声子空间;  MUSIC 算法; Toeplitz 矩阵
Keywords:
coherent signal ;  noise subspace ;  MUSIC algorithm ;  Toeplitz matrix
分类号:
TN911.7
文献标志码:
A
摘要:
针对传统的 DOA 估计算法在处理相干信号时会出现性能下降无法准确识别的问题,提出一种基于 Toeplitz 矩阵重构的相干信源 DOA 估计算法。首先,通过对协方差矩阵进行特征分解并将特征值进行从小到大排列,求出其最大值对应特征向量同时提取协方差矩阵中第 1 行的行向量;然后,基于 2 个向量信息分别构造 2 个 Toeplitz 矩阵;再利用前后向平滑的思想对其求和取平均得到最终的重构矩阵;最后根据 MUSIC 算法原理,对矩阵进行 DOA 估计。实验结果表明,所提算法能准确估计多个相干信源的位置,同时从多角度验证在低信噪比和快拍数有限等条件下,算法性能表现稳定。
Abstract:
An improved DOA estimation algorithm based on Toeplitz matrix reconstruction is proposed to solve the problem that the traditional DOA estimation algorithm can not identify the coherent signal accurately when it is processed.Firstly , through the feature decomposition of covariance matrix and the arrangement of eigenvalues from small to large , the eigenvector corresponding to its maximum value is obtained and the row vector of the first row in the covariance matrix is extracted.Then , two Toeplitz matrices are constructed based on the two vector information respectively.By using the idea of forward and backward smoothing , the sum is averaged to get the final reconstruction matrix.Finally , DOA estimation of the matrix is carried out according to the principle of MUSIC algorithm.The experimental results show that the proposed algorithm can accurately estimate the location of multiple coherent sources , and verify that the algorithm still shows good stability under the conditions of low SNR and limited fast beat.This research not only deepens the theory of target location , but also provides a new idea for DOA estimation in array signal processing , which has important theoretical value.

参考文献/References:

[ 1 ] GORCIN A , ARSLAN H.A two-antenna single RF front-end DOA estimation system for wireless communications signals [ J ] .IEEE Transactions on antennas and propagation , 2014 , 62 ( 10 ): 5321-5333.

[ 2 ] LIU L T , LIU H.Joint estimation of DOA and TDOA of multiple reflections in mobile communications [ J ] . IEEE Access , 2016 , 4 : 3815-3823.
[ 3 ] SHAN T J , WAX M , KAILATH T.On spatial smoothing for direction-of-arrival estimation of coherent signals [ J ] .IEEE Transactions on acoustics , speech , and signal processing , 1985 , 33 ( 4 ): 806-811.
[ 4 ] 张正鸿 . 数字波束合成及测向技术研究[ D ] . 成都:电子科技大学,2013.
[ 5 ] 范文泉,肖文书 . 基于 MUSIC 和 ESPRIT 算法的 DOA动态布站[ J ] . 电子测量技术, 2019 , 42 ( 2 ): 142-148.
[ 6 ] RAO B D , HARI K V S.Weighted subspace methods and spatial smoothing : analysis and comparison [ J ] . IEEE Transactions on signal processing , 1993 , 41 ( 2 ):788-803.
[ 7 ] COVENTRY W , CLEMENTE C , SORAGHAN J.Enhancing polynomial MUSIC algorithm for coherent broadband sources through spatial smoothing [ C ] ∥ 2017 25th European Signal Processing Conference. New York : IEEE , 2017 : 2448-2452.
[ 8 ] PILLAI S U , KWON B H.Forward / backward spatial smoothing techniques for coherent signal identification [ J ] .IEEE Transactions on acoustics , speech , and signal processing , 1989 , 37 ( 1 ): 8-15.
[ 9 ] ZHANG L , LIU W.Robust beamforming for coherent signals based on the spatial-smoothing technique [ J ] . Signal processing , 2012 , 92 ( 11 ): 2747-2758.
[ 10 ] HAN F M , ZHANG X D.An ESPRIT-like algorithm for coherent DOA estimation [ J ] .IEEE Antennas and wireless propagation letters , 2005 , 4 : 443-446.
[ 11 ] QIAN C , HUANG L , ZENG W J.Direction-of-arrival estimation for coherent signals without knowledge of source number [ J ] .IEEE Sensors journal , 2014 , 14 ( 9 ): 3267-3273.
[ 12 ] 张石,许方晗,佘黎煌,等 . 基于重构噪声子空间的相干信号 DOA 估计[ J ] . 东北大学学报(自然科学版),2021 , 42 ( 12 ): 1696-1700.
[ 13 ] 万军,束坤 . 空间谱估计相干信号源的处理[ J ] . 现代电子技术,2008 , 31 ( 11 ): 4-6.
[ 14 ] ZHANG W , HAN Y , JIN M , et al.An improved ESPRIT-like algorithm for coherent signals DOA estimation [ J ] .IEEE Communications letters , 2019 , 24 ( 2 ): 339-343.
[ 15 ] 吴志勇,饶伟,贾凤勤 . 针对相干信号 DOA 估计的改进 MUSIC 算 法 [ J ] . 电 讯 技 术, 2023 , 63 ( 9 ):1355-1360.
[ 16 ] 陈宝君,李学庆,鞠艳杰,等 . 基于重构频域协方差矩阵的 DOA 估 计 方 法 [ J ] . 电 讯 技 术, 2025 , 65 ( 6 ):953-959.
[ 17 ] 王绪虎,侯玉君,金序,等 . 基于协方差矩阵 Toeplitz重构的 MUSIC 算法的波达方位估计方法[ J ] . 声学技术,2023 , 42 ( 6 ): 825-831.

备注/Memo

备注/Memo:
收稿日期: 2025-04-01
基金项目:山西省回国留学人员科研资助项目( 2023-127 );山西省自然科学基金面上项目( 202103021224201 )
作者简介:郭锦荣 ( 1997- ),男,山西长治人,硕士研究生,研究方向为信号处理技术等;韩建宁 ( 1980- ),男,山西晋城人,教授,博士研究生导师,研究方向为人工智能、信号处理技术、计算机视觉与图像处理等,通信作者, E-mail :hanjn46@nuc.edu.cn 。
更新日期/Last Update: 2025-09-29