利用 Toeplitz 特性改善来波方向估计性能

Method to Improve Performance of Estimation of DOA Using Toeplitz Characteristic

提出一种利用协方差矩阵的Ｔｏｅｐｌｉｔｚ特性，使估计的协方差矩阵成为Ｔｏｅｐｌｉｔｚ矩阵的方法，在低信噪比短数据流情况下，改善来波方向（ＤＯＡ）估计的性能，且不需增加乘法运算量．对ＭＵＳＩＣ算法和ＰＲＯＥＳＰＲＩＴ算法进行了分析并作了计算机仿真，仿真结果表明：利用Ｔｏｅｐｌｉｔｚ特性后，ＭＵＳＩＣ算法谱峰幅度增大，波谷相对波峰的深度增加，这将有利于目标的分辨；并可减小低信噪比情况下ＭＵＳＩＣ算法和ＰＲＯＥＳＰＲＩＴ算法ＤＯＡ估计的方差．

A method is proposed to make the estimation of the covariance become Toeplitz matrix using the Toeplitz characteristic of covariance matrix . It can improve the performance of estimation of DOA in the low SNR and shot snapshot , and dose not add complex multiplication. It is used in the MUSIC algorithm and the PRO ESPRIT algorithm . The numerical simulation results show that the spatial spectrum and the depth between wave crest and trough are increased in the MUSIC algorithm , and the standard deviations of the estimation of DOA are decreased in the MUSIC algorithm and the PRO ESPRIT algorithm in the low SNR .The method can be used in other DOA estimation algorithm .