首页> 中文期刊> 《数据采集与处理》 >基于Toeplitz矩阵的酉变换波达角估计算法

基于Toeplitz矩阵的酉变换波达角估计算法

             

摘要

To improve estimation performance and decrease calculation capacity of TOEP-MUSIC algorithm, a DOA estimation algorithm based on Toeplitz matrix unitary transformation (UHT-MUSIC) is proposed. In UHT-MUSIC algorithm, Toeplitz covariance matrix is constructed and transformed into Hermition matrix with remaining the estimation performance unchanged, and then changed into a real matrix by unitary transformation. DOA estimation is operated by MUSIC algorithm based on the real covariance matrix, so that the calculation capacity of matrix eigenvalue decomposition and peak search is reduced to 1/4 of the TOEP-MUSIC algorithm. The estimation performance is improved. Simulation results prove that the algorithm is effective.%为提高Toeplitz矩阵重构算法的估计性能、降低计算量,提出了基于Toeplitz矩阵的酉变换DOA估计算法UHT-MUSIC.该算法在保持估计性能不变的前提下,先将Toeplitz型协方差矩阵变换为Hermition矩阵,然后利用酉变换将其转换为实数矩阵.在此基础上利用MUSIC算法进行DOA估计,其特征值分解及谱峰搜索的计算量降低到同条件下TOEP-MUSIC算法的1/4.同时该算法还有效降低了信源的相关系数,从而提高了算法的分辨性能.仿真实验验证了该算法的正确性.

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