一种基于前后向Toeplitz矩阵重构的相干信号DOA估计算法

DOA Estimation of Coherent Signals Based on Forward and Backward Toeplitz Matrix Reconstruction

本文提出了一种新的相干信号DOA估计算法,首先将数据协方差矩阵的一行重构成Toeplitz矩阵以消除信号源之间的相干性;再利用前后向空间平滑的思想构造后向Toeplitz矩阵,以提高数据利用率;鉴于Toeplitz矩阵具有相同的联合对角结构,利用此结构设计代价函数,最后通过一维搜索得到新的空间谱。本文所提算法无需信号源数的先验信息,较以往算法精度和鲁棒性有较大提升,实验结果验证了算法的有效性。

In this paper,a new DOA estimation algorithm of coherent signals is proposed.The algorithm firstly reconstructs a row of data covariance matrix into Toeplitz matrix to eliminate the coherence between signal sources,and then constructs a backward Toeplitz matrix by using the idea of forward and backward spatial smoothing to improve data utilization.These Toeplitz matrices have the same joint diagonal structure,which is used to design the cost function and then obtain a new spatial spectrum through one-dimensional search.The proposed algorithm does not need a priori information of the number of signal sources,and the accuracy and robustness of the algorithm are greatly improved.The experimental results verify the effectiveness of the algorithm.