吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (3): 924-0933.

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基于压缩感知稀疏域模型并行坐标下降算法的DOA估计方法

王宏妍, 白艳萍, 郑文康, 王立府, 续婷   

  1. 中北大学 数学学院, 太原 030051
  • 收稿日期:2023-11-13 出版日期:2025-05-26 发布日期:2025-05-26
  • 通讯作者: 白艳萍 E-mail:baiyp666@163.com

DOA Estimation Method Based on Compressed Sensing Sparse Domain Model Parallel Coordinate Descent Algorithm

WANG Hongyan, BAI Yanping, ZHENG Wenkang, WANG Lifu, XU Ting   

  1. School of Mathematics, North University of China, Taiyuan 030051, China
  • Received:2023-11-13 Online:2025-05-26 Published:2025-05-26

摘要: 针对现有的波达方向(direction of arrival, DOA)估计方法在低信噪比、 小快拍、 多信源条件下估计精度较低的问题, 提出一种基于并行坐标下降算法的DOA估计方法. 首先, 对空域等角度均匀划分, 构造超完备冗余字典; 其次, 采用并行坐标下降算法的思想对稀疏信号进行重构, 得到信号在空域的稀疏系数矩阵; 最后, 将稀疏矩阵行向量的l2-范数映射到空域网格上, 得到准确的DOA估计值. 仿真实验结果表明: 在低信噪比、小快拍、多信源条件下, 该方法优于子空间类算法、 贪婪类算法以及凸优化类算法, 具有更低的均方根误差(RMSE)、 更高的DOA估计精度和运行效率.

关键词: 波达方向估计, 压缩感知, 并行坐标下降算法, 矢量水听器阵列信号

Abstract: Aiming at the problem that the estimation accuracy of the existing estimation methods of the direction of arrival (DOA) was low under the condition of low signal-to-noise ratio, small fast beat and multiple sources, we proposed a DOA estimation method based on parallel coordinate descent algorithm. Firstly, the airspace was uniformly divided into equal angles, and the super-complete redundant dictionary was constructed. Secondly, the sparse signal was reconstructed by using the idea of parallel coordinate descent algorithm, and the sparse coefficient matrix of the signal in spatial space was obtained. Finally, the l2-norm of the sparse matrix row vector was mapped to the spatial grid to obtain an accurate DOA estimate. The simulation experiment results show that the proposed method is superior to subspace algorithm, greedy algorithm and convex optimization algorithm under the conditions of low signal-to-noise ratio, small fast beat and multiple sources, and has lower root mean square error (RMSE), higher DOA estimation accuracy and higher operational efficiency.

Key words: direction of arrival estimation, compressed sensing, parallel coordinate descent algorithm, vector hydrophone array signal

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