一种基于Toeplitz矩阵重构的相干信源DOA估计算法

DOA Estimation of Coherent Signals Based on the Toeplitz Matrix Reconstruction

提出一种基于Toeplitz矩阵重构的相干信号源DOA估计算法。首先对各个阵元的接收数据与参考阵元(第一个阵元)的接收数据的相关函数进行排列,形成Hermitian Toeplitz矩阵,然后通过奇异值分解可以得到信号子空间和噪声子空间,从而实现相干信源的DOA估计。该算法在不减少阵列有效孔径的情况下,增加了可估计相干信号源数目,并在低信噪比条件下能够得到较好的估计性能,计算机仿真结果证实了算法的有效性。

A new DOA estimation algorithm of coherent signals based on Toeplitz matrix reconstruction is proposed.This algorithm is implemented through arranging the received data correlation function of each array element and reference array element（the first array element） and form a Hermitian Toeplitz matrix firstly.Then through the singular value decomposition of the matrix,the signal subspace and noise subspace can be arrived in order to achieve the DOA estimation of coherent sources.The new approach,without reducing the aperture of array,increases the ability of discernment under the same SNR,the simulation results show that the proposed method is effective.