文章摘要
王绪虎,侯玉君,金序,田雨,王辛杰,李恩玉.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
基于协方差矩阵Toeplitz重构的MUSIC算法的波达方位估计方法
DOA estimation method using MUSIC algorithm based on Toeplitz reconstruction of covariance matrix
投稿时间:2022-08-21  修订日期:2022-10-22
DOI:10.16300/j.cnki.1000-3630.2023.06.017
中文关键词: 波达方位估计  相干信号  Toeplitz矩阵  多重信号分类(MUSIC)算法
英文关键词: direction of arrival(DOA)  coherent signals  Toeplitz matrix  multiple signal classification(MUSIC) algorithm
基金项目:山东省自然科学基金项目(ZR2020MF001,ZR2021QF113)
作者单位E-mail
王绪虎 青岛理工大学信息与控制工程学院, 山东青岛 266520 hgcwxh@163.com 
侯玉君 青岛理工大学信息与控制工程学院, 山东青岛 266520  
金序 青岛理工大学信息与控制工程学院, 山东青岛 266520  
田雨 青岛理工大学信息与控制工程学院, 山东青岛 266520  
王辛杰 青岛理工大学信息与控制工程学院, 山东青岛 266520  
李恩玉 青岛理工大学信息与控制工程学院, 山东青岛 266520  
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中文摘要:
      针对传统波达方向(Direction of Arrival, DOA)估计方法通过空间平滑对相干信号进行处理损失阵列孔径的问题,文章提出了一种基于协方差矩阵托普利兹(Toeplitz)矩阵重构的多重信号分类(Multiple Signal Classification, MUSIC)算法的波达方位估计方法。该方法首先根据阵列接收数据的协方差矩阵及其翻转矩阵来构造新协方差矩阵,并利用新协方差矩阵构造Toeplitz矩阵,然后对其进行特征值分解,得到Toeplitz矩阵的噪声子空间,利用噪声子空间求出信号空间谱,通过谱峰搜索估计入射信号的方位角。文中方法拓展了阵列孔径,增加了可估计相干信号的数量,提升了方位估计的性能,提高了阵列的空间分辨率。仿真和湖上实验数据处理结果表明,文中方法可估计出更多的相干信号,而且在低信噪比、少快拍以及信号入射角度间隔较小时仍然具有良好的方位估计性能。
英文摘要:
      To solve the problem that the array aperture decreases in spatial smoothing for traditional direction of arrival(DOA) estimation of coherent signals, a DOA estimation method using multiple signal classification(MUSIC) algorithm based on the Toeplitz reconstruction of covariance matrix is proposed in this paper. A new covariance matrix is constructed according to the covariance matrix of the signals received by hydrophone array and its flip matrix, and the Toeplitz matrix is reconstructed by the elements of the first row and the first column of the new covariance matrix. Then the noise subspace is obtained by eigenvalue decomposition of the Toeplitz matrix and used to calculate the spatial spectrum. Finally, the DOA estimation problem of incoming signal is solved through spectral peak search. The method in this paper expands the array aperture, increases the number of estimable coherent signals, and improves the performance of azimuth estimation and the spatial resolution of the array. The simulation and data processing results of the lake experiment show that the method in this paper can estimate more coherent signals and still has good estimation performance when the signal-to-noise ratio is low, the snapshot is less, and the incident angle interval is small.
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