结合子空间旋转技术的非圆信号快速DOA估计  

Computationally efficient direction-of-arrival estimation of non-circular signal based on subspace rotation technique

作　　者：王薇 张明 姚博彬[4] 殷勤业[2] 穆鹏程[2] WANG Wei;ZHANG Ming;YAO Bobin;YIN Qinye;MU Pengcheng(Department of Information Engineering,Xijing University,Xi’an 710123,China;Ministry of Education Key Lab for Intelligent Networks and Network Security,Xi’an Jiaotong University,Xi’an 710049,China;Xi’an Microelectronics Technology Institute,Xi’an 710000,China;School of Electronic and Control Engineering,Chang’an University,Xi’an 710064,China)

机构地区：[1]西京学院信息工程学院,陕西西安710123 [2]西安交通大学智能网络与网络安全教育部重点实验室,陕西西安710049 [3]西安微电子技术研究所,陕西西安710000 [4]长安大学电子与控制工程学院,陕西西安710064

出　　处：《通信学报》2020年第11期198-205,共8页Journal on Communications

基　　金：陕西省教育厅自然科学专项基金资助项目(No.20JK0966);国家自然科学基金资助项目(No.61702424,No.61601058)。

摘　　要：针对波达方向(DOA)估计中非圆信号多重信号分类(NC-MUSIC)算法运算复杂度过高的问题,提出了一种结合子空间旋转的非圆信号快速DOA估计算法。所提算法首先利用对噪声子空间矩阵分块和子空间旋转技术(SRT)构造降维噪声子空间;然后根据降维噪声子空间与扩展后阵列流型矩阵张成空间的正交性和变量分离,将NC-MUSIC算法中的二维谱峰搜索转化为一维谱峰搜索。所提算法通过二维谱峰搜索到一维谱峰搜索的转化和去除一维谱峰搜索中冗余计算的方式提高了算法的计算效率。理论分析和仿真结果表明,与NC-MUSIC算法相比,所提算法可在保证DOA估计精度的前提下将算法运算复杂度降至NC-MUSIC算法运算复杂度的5%以下;尤其对于阵元数目较多的场景,所提算法的计算效率优势更明显。In order to solve the problem that the high computational burden of the multiple signal classification algorithm of non-circular signal(NC-MUSIC)in direction-of-arrival(DOA)estimation,a novel computationally efficient DOA estimation algorithm based on subspace rotation technique was proposed.Firstly,the partitioning of noise subspace matrix and the subspace rotation technique(SRT)were used to construct a new reduced-dimension noise subspace.Then,the two-dimensional peak searching was converted to the one-dimensional peak searching on the basis of the separation of variables and the orthogonality between the new reduced-dimension noise subspace and the space spanned by the columns of the extended manifold matrix.The proposed algorithm can enhance the computational efficiency by means of the conversion of the two-dimensional peak searching into the one-dimensional peak searching and the removal of redundant computations.Theoretical analysis and simulation results show that the proposed algorithm can reduce the computational complexity to less than 5%as compared to NC-MUSIC algorithm on the premise of ensuring the accuracy of DOA estimation.Especially,the efficiency advantage of the proposed algorithm is more obvious in scenarios where the large numbers of sensors are required.

关 键 词：阵列信号处理 DOA估计 非圆信号 MUSIC算法 低复杂度 

分 类 号：TN959.2[电子电信—信号与信息处理]