阵元位置误差下的嵌套阵列DOA估计方法  

DOA Estimation Method for Nested Array Under Element Position Errors

作　　者：贺顺[1] 贺小艳 杨志伟[2] 孙兵 谢永妮 HE Shun;HE Xiaoyan;YANG Zhiwei;SUN Bing;XIE Yongni;无(College of Communication and Information Engineering,Xi'an University of Science and Technology,Xi'an 710600,China;National Laboratory of Radar Signal Processing,Xidian University,Xi'an 710071,China;China Satellite Maritime Tracking and Control Department,Jiangyin 214430,China)

机构地区：[1]西安科技大学通信与信息工程学院,陕西西安710600 [2]西安电子科技大学雷达信号处理国家重点实验室,陕西西安710071 [3]中国卫星海上测控部,江苏江阴214430

出　　处：《无线电工程》2023年第3期657-662,共6页Radio Engineering

基　　金：国家自然科学基金(62071481,62071476)。

摘　　要：阵元位置误差会使阵列流型产生较大的偏差或扰动,导致基于嵌套阵列的波达方向(Direction of Arrival,DOA)估计方法性能严重下降。针对上述问题,提出了一种基于阵列流型分离的最小原子范数(Array Manifold Separated Atomic Norm Minimization,AMS-ANM)DOA估计方法。建立阵元位置误差下嵌套阵列的虚拟域接收信号模型。利用AMS-ANM方法分离阵列流型中的位置信息和角度信息,通过求解原子范数最小化问题实现欠定条件下的高精度DOA估计。仿真结果表明,所提方法能够避免阵元位置误差对角度估计性能的影响,相比于L1-SVD和矩阵重构方法,在低信噪比和小快拍情况下可以有效提高嵌套阵列的DOA估计精度和空间分辨率。The element position errors cause a large deviation or disturbance of the array manifold matrix,resulting in a serious reduction of the Direction of Arrival(DOA)estimation performance based on nested array.Aiming at this problem,a DOA estimation method is proposed based on Array Manifold Separated Atomic Norm Minimization(AMS-ANM).First,the virtual domain received signal model of the nested array is built under element position errors.Then,AMS-ANM separates the position and angle information in the array manifold matrix,and the high-precision DOA estimation under underdetermined conditions is achieved by solving the atomic norm minimization problem.The simulation results show that the proposed method can avoid effects of element position errors on angle estimation performance.Compared with L1-SVD and matrix reconstruction method,the proposed method can effectively improve the DOA estimation accuracy and spatial resolution with low SNR and small snapshot number.

关 键 词：波达方向估计 嵌套阵列 阵元位置误差 最小原子范数 

分 类 号：TN911.23[电子电信—通信与信息系统]