基于Toeplitz矩阵的酉变换波达角估计算法  

Unitary Transformation DOA Algorithm Based on Toeplitz Matrix

作　　者：韩勇[1] 乔晓林[1] 金铭[1] 曹丙霞[1] 

机构地区：[1]哈尔滨工业大学信息工程研究所,哈尔滨150001

出　　处：《数据采集与处理》2011年第1期52-56,共5页Journal of Data Acquisition and Processing

基　　金：哈尔滨工业大学(威海)校科学研究基金(HIT(WH)XBQD201022)资助项目

摘　　要：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。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.

关 键 词：波达角估计 酉变换 TOEPLITZ矩阵 相干信源 

分 类 号：TN911.23[电子电信—通信与信息系统]