一种基于Toeplitz矩阵重构的波达方向估计新算法

为了提高空间谱中信号与噪声的区分度以及改善传统Toeplitz矩阵重构算法在进行波达方向(direction of arrival,DOA)估计时的精度,本文提出一种新的基于Toeplitz矩阵重构的DOA估计算法。首先将观测数据估计的自相关矩阵预处理得到数据向量,并基于数据向量进行Toeplitz矩阵重构;再对重构后的矩阵进行奇异值分解,得到信号子空间和噪声子空间;最后同时利用信号子空间和噪声子空间进行空间谱估计。结果表明:无论是相干源还是非相干源的DOA估计,该算法估计精度均优于传统Toeplitz算法,在非相干源的DOA估计精度性能与多重信号分类(multiple signal classification,MUSIC)算法一致,并在处理相干信源个数能力与传统Toeplitz算法相同。

New DOA Estimation Method Based on Toeplitz Matrix Reconstruction

In order to improve the discrimination between signal and noise in spatial spectrum and the poor accuracy of traditional Toeplitz matrix reconstruction algorithm (TMUSIC) in DOA estimation, a new DOA estimation algorithm based on Toeplitz matrix reconstruction (ITMUSIC) is proposed in this paper. Firstly, the autocorrelation matrix is preprocessed to get the data vector. Then the Toeplitz matrix is reconstructed by the data vector. The reconstructed matrix is singular value decomposed to get the signal subspace and noise subspace. Finally, the signal subspace and noise subspace are used to estimate the spatial spectrum. The simulation results show that the accuracy of DOA estimation for both coherent and incoherent sources is better than that of traditional Toeplitz algorithm. The performance of DOA estimation for incoherent sources is consistent with that of MUSIC algorithm, and the ability of processing the number of sources is the same as that of traditional Toeplitz algorithm.