模型误差条件下声矢量圆阵多重信号分类测向改进算法  

An improved multiple signal classification method for a circular acoustic vector sensor array in the presence of model errors

作　　者：张旭[1,2,3] 朱晓春[1,2,3] 徐付佳 时胜国 ZHANG Xu;ZHU Xiaochun;XU Fujia;SHI Shengguo(National Key Laboratory of Underwater Acoustic Technology,Harbin Engineering University,Harbin 150001;Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University),Ministry of Industry and Information Technology,Harbin 150001;College of Underwater Acoustic Engineering,Harbin Engineering University,Harbin 150001)

机构地区：[1]哈尔滨工程大学水声技术全国重点实验室,哈尔滨150001 [2]工业和信息化部海洋信息获取与安全工信部重点实验室(哈尔滨工程大学),哈尔滨150001 [3]哈尔滨工程大学水声工程学院,哈尔滨150001

出　　处：《声学学报》2024年第3期533-549,共17页Acta Acustica

摘　　要：针对非正规协方差矩阵引起声矢量圆阵多重信号分类(MUSIC)测向算法性能恶化的问题,提出了一种基于奇异值分解的声压振速联合处理MUSIC改进算法。理论分析了阵列响应误差和噪声模型误差对协方差矩阵的正规性及估计性能的影响。模型误差条件下声矢量阵声压振速联合处理的协方差矩阵不再是正规矩阵,改进的MUSIC方法通过对声压振速联合处理的协方差矩阵进行奇异值分解,利用非正规矩阵的左、右奇异向量自身正交的特性,采用奇异向量张成噪声子空间。数值仿真结果表明,改进的MUSIC方法改善了波达方向估计精度和多目标分辨能力,且具有更低、更平坦的空间背景谱。湖上试验进一步验证了改进的MUSIC方法的有效性。Aiming at the problem that the direction-of-arrival(DOA)estimation performance of multiple signal classification(MUSIC)algorithm of acoustic vector sensor(AVS)uniform circular array is deteriorated by the non-normal covariance matrix,an improved MUSIC algorithm based on singular value decomposition(SVD)of combined processing method of pressure and particle velocity(PV-CPM)is proposed.The influence of array response error and noise model error on the normality of covariance matrix and the estimation performance is analyzed.The covariance matrix of AVS array is no longer a normal matrix under the condition of model error.By using SVD of the covariance matrix for PV-CPM,the singular vectors are used to span the noise subspace based on the orthogonality of the singular vectors of the non-normal matrix.Numerical simulation results show that the proposed method improves the DOA estimation accuracy and multi-target resolution ability with a lower and flatter spatial background.The lake experiment further verifies the effectiveness of the proposed method.

关 键 词：声矢量传感器 均匀圆阵 协方差矩阵 奇异值分解 

分 类 号：TN912.3[电子电信—通信与信息系统]