基于均匀圆阵Toeplitz矩阵集重构解相干算法  

Toeplitz matrices reconstruction based direction of arrival estimation with uniform circular arrays

作　　者：张薇[1,2] 韩勇[3] 闫锋刚[3] 刘帅[3] 王军[3] 金铭[3] ZHANG Wei;HAN Yong;YAN Feng-gang;LIU Shuai;WANG Jun;JIN Ming(School of Electronics and Information Engineering.Harbin Institute of Technology,Harbin 150001,China;School of Electrical&Information Engineering,North Minzu University,Yinchuan 750021,China;School of Information Engineering,Harbin Institute of Technology at Weihai,Weihai 264209,China)

机构地区：[1]哈尔滨工业大学电信学院,哈尔滨150001 [2]北方民族大学电信学院,银川750021 [3]哈尔滨工业大学(威海)信息工程研究所,山东威海264209

出　　处：《吉林大学学报（工学版）》2020年第4期1522-1531,共10页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(61971158,61871149)。

摘　　要：针对目前均匀圆阵相干信源波达方向估计的矩阵重构算法仅利用部分阵列接收数据的相关或协方差矩阵部分元素进行重构造成信息利用不完整的问题,提出一种改进Toeplitz矩阵重构算法。利用模式空间变换后的数据协方差矩阵所有行元素信息构造包含阵元完整相关矩阵信息的Toeplitz矩阵集,经与Hermitian转置矩阵相乘及正反向平滑运算得到满秩数据协方差矩阵。该算法能够直接结合子空间类算法实现相干信号的角度估计,无需平滑算法广义特征值分解,同时解决了目前模式空间矩阵重构算法因忽略相位差变化造成的估计性能下降甚至失效问题。计算机仿真结果验证了本文算法的有效性。Most matrix reconstruction algorithms for coherent signals Direction-of-Arrival(DOA)estimation based on uniform circular arrays only use partial correction or covariance matrix information from the received signals,which causes incomplete information utilization. To solve this problem,a modified Toeplitz matrices reconstruction algorithm is presented by adopting all the row elements of covariance matrix to reconstruct a set of Toeplitz matrices,which are used to obtain the entire correlation information of all array received data after mode space transformation. After Hermitian transpositing and forward/backward averaging,the equivalent full rank covariance matrix is obtained. Combing with the subspace algorithm,the proposed matrices reconstruction algorithm can be used to realize the coherent signals DOA estimation. The presented method avoids generalized eigenvalue decomposition compared with the smoothing algorithm and solves the problem of performance degradation or even failure of current matrix reconstruction algorithms due to ignoring phase difference changes. The simulation results show the effectiveness of the proposed method.

关 键 词：阵列信号处理 波达方向 相干信源 TOEPLITZ矩阵 均匀圆阵 

分 类 号：TN911.7[电子电信—通信与信息系统]