均匀圆阵特征矢量重构Root-MUSIC快速解相干算法  

Root-MUSIC fast decoherence algorithm for uniform circular array eigenvector reconstruction

作　　者：蒋林峰 宁运 柳文 万江 陈荣 罗智进 JIANG Linfeng;NING Yun;LIU Wen;WAN Jiang;CHEN Rong;LUO Zhijin(School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China;Hunan Key Laboratory of Intelligent Reliable Navigation and Positioning,Xiangtan University,Xiangtan 411105,China;School of Physics and Optoelectronics,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学自动化与电子信息学院,湖南湘潭411105 [2]湘潭大学智能可信导航与定位湖南省重点实验室,湖南湘潭411105 [3]湘潭大学物理与光电工程学院,湖南湘潭411105

出　　处：《湘潭大学学报（自然科学版）》2024年第5期39-47,共9页Journal of Xiangtan University(Natural Science Edition)

基　　金：国家重点研发计划(2023YEA1009100);信号盲处理国家级重点实验室创新发展基金项目(624241321007)。

摘　　要：为解决均匀圆阵(UCA)不能直接运用均匀线阵上性能优良的特征矢量重构算法来进行相干信号波达方向(DOA)估计的问题,该文提出了一种特征矢量重构求根MUSIC算法(MERM).运用Davies模式空间转换法对均匀圆阵进行预处理转换为虚拟均匀线阵(VULA),通过对接收数据矩阵特征值分解提取最大特征矢量,利用最大特征矢量重构协方差矩阵,使均匀圆阵导向矢量具备范德蒙结构,并且降低了预处理后的测向误差影响.最后通过使用求根MUSIC算法估计出相干信号的方位角.MERM算法解相干能力强、测向精度高,并且不需要空间平滑,进而减小了计算量,有较好的算法实时性,仿真实验验证了该算法的可行性.To address the issue that the feature vector reconstruction algorithm,which performs well on Uniform Linear Arrays(ULA),cannot be directly applied to Uniform Circular Arrays(UCA)for Direction of Arrival(DOA)estimation of coherent signals,this paper proposes a Mode and Eigenvector Reconstruction MUSIC(MERM)algorithm.Utilizing Davies'mode space transformation method,the UCA is preprocessed and transformed into a Virtual Uniform Linear Array(VULA).By performing eigenvalue decomposition on the received data matrix and extracting the dominant eigenvector,the covariance matrix is reconstructed,enabling the steering vector of the UCA to attain a Vandermonde structure.This approach also reduces the impact of direction-finding errors after preprocessing.Finally,the azimuth angles of coherent signals are estimated using the Root-MUSIC algorithm.The MERM algorithm demonstrates strong capabilities in resolving coherent signals,high direction-finding accuracy,and does not require spatial smoothing,thereby reducing computational load and enhancing algorithmic real-time performance.Simulation experiments have validated the feasibility of this algorithm.

关 键 词：均匀圆阵 相干信号 特征矢量 模式空间转换 矩阵重构 

分 类 号：TN911[电子电信—通信与信息系统]