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基于矩阵填充和传播子方法的任意电磁矢量传感器阵列带噪声抑制的快速二维波达方向估计

Matrix Completion and Propagator Method-Based Fast 2D-DOA Estimation with Noise Suppression for Arbitrary EMVS Arrays.

作者信息

Ruan Yunzhe, Gong Weiwei

机构信息

The Electronic Information and Electrical Engineering College, Yangtze University, Jingzhou 434023, China.

出版信息

Sensors (Basel). 2025 Sep 16;25(18):5769. doi: 10.3390/s25185769.

DOI:10.3390/s25185769
PMID:41013005
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12473713/
Abstract

This paper introduces an innovative rapid algorithm for estimating two-dimensional direction of arrival (2D-DOA) with randomly arranged electromagnetic vector sensor (EMVS) arrays under nonuniform noise conditions. The approach begins by forming the covariance matrix of the received signal matrix, after which elements affected by noise are removed based on the characteristics of nonuniform noise to reduce its disruptive effects. Subsequently, the pure covariance matrix is filled using a matrix completion algorithm and then reconstructed into a new matrix. Finally, the signal subspace is extracted by the propagator method (PM) algorithm, and the 2D-DOA is estimated via a method analogous to the Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT). Theoretical analyses confirm the high degrees of freedom of the algorithm, low computational complexity, and accuracy of the estimation. Simulation results validate that the proposed algorithm exhibits remarkable resilience against nonuniform noise. When compared with conventional algorithms such as ESPRIT, ESPRIT-like, and improved ESPRIT (IESPRIT), it also shows better performance in terms of estimation speed and accuracy.

摘要

本文介绍了一种创新的快速算法,用于在非均匀噪声条件下估计随机排列的电磁矢量传感器(EMVS)阵列的二维到达方向(2D-DOA)。该方法首先形成接收信号矩阵的协方差矩阵,然后根据非均匀噪声的特性去除受噪声影响的元素,以减少其干扰效应。随后,使用矩阵补全算法填充纯协方差矩阵,然后将其重构为一个新矩阵。最后,通过传播算子方法(PM)算法提取信号子空间,并通过类似于旋转不变技术估计信号参数(ESPRIT)的方法估计2D-DOA。理论分析证实了该算法具有高度的自由度、低计算复杂度和估计精度。仿真结果验证了所提算法对非均匀噪声具有显著的抗性。与传统算法如ESPRIT、类ESPRIT和改进的ESPRIT(IESPRIT)相比,它在估计速度和精度方面也表现出更好的性能。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/96ed/12473713/7a2599f3dbe4/sensors-25-05769-g011.jpg
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