协方差矩阵的相关法Toeplitz改进算法  

Improved correlation Toeplitz algorithms for covariance matrix

作　　者：白峻[1] 申晓红[1] 王海燕[1] 张雪[1] 

机构地区：[1]西北工业大学航海学院,西安710072

出　　处：《声学技术》2010年第1期74-77,共4页Technical Acoustics

基　　金：船舶工业科技预研基金(06J4.5.1)

摘　　要：提出一种基于均匀线形阵列的相关Toeplitz矩阵构造方法,建立了两种Toeplitz矩阵的构造方式,结合子空间法形成一种相干信源方位估计的高分辨方法。具体将接收阵列各阵元与参考阵元输出信号做相关,获得一组相关向量,应用相关Toeplitz矩阵构造算法构造阵列输出的Toeplitz矩阵,从而得到去相干的相应接收阵列的协方差矩阵,最后再应用高分辨子空间估计方法完成相干信源方位估计。仿真结果表明:所采用的相关Toeplitz矩阵构造算法达到了很好的去相干效果,并将Toeplitz近似化方法改进成为无偏估计方法,显著提高了相干信源方位估计的精度,并使Toeplitz矩阵构造的计算量减少到原方法的1/M。This paper proposes. A method of constructing correlation Toeplitz matrix structure algorithm is studied in this paper, and constructs two kinds of correlation Toeplitz matrix structure algorithms then with an improved Direction-Of-Arrival （DOA） estimator method for coherent signals based on linear equally spaced linear array are proposed. The concrete research stated below. Firstly a vector is obtained from the correlation between the output signals of each sensor and the reference sensor. The output Toeplitz matrix of the array will b e constructed from the vector by using Toeplitz matrix structure algorithms. Then we get a decoherence covariance matrix is obtained to estimating matrix and can estimate the direction of the arrival. The simulation results show that the correlation Toeplitz matrix structure algorithms gets good decoherence effect and the algorithms improve the Toeplitz approximation method to be an unbiased estimate method, it raises and that the precision of DOA estimation is notably increased and reduces the computation amount can be reduced cost of this paper＇s method to 1/M of the traditional Toeplitz method （M is the number of sensors in array）.

关 键 词：相关 相干 TOEPLITZ矩阵 方位估计 

分 类 号：TN911.7[电子电信—通信与信息系统]