基于高阶累积量矩阵组正交联合对角化的高分辨方位估计方法

宋海岩; 朴胜春

doi:10.3724/SP.J.1146.2008.01176

基于高阶累积量矩阵组正交联合对角化的高分辨方位估计方法

doi: 10.3724/SP.J.1146.2008.01176

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出版历程
- 收稿日期: 2008-09-22
- 修回日期: 2009-12-18
- 刊出日期: 2010-04-19

DOA Estimation Method Based on Orthogonal Joint Diagonalization of High-order Cumulant

摘要

摘要: 该文提出了一种基于高阶累积量矩阵组正交联合对角化的高分辨方位估计方法。该方法构造了一组高阶累积量矩阵共同来辨识阵列流型矩阵的列空间，进而进行DOA估计。并通过对高阶累积量矩阵组进行联合对角化，得到联合对角化矩阵和对角化后的矩阵组，并重新定义了空间谱。新方法可以处理相干声源，适用于有色噪声环境，且较仅使用单个高阶累积量矩阵的算法具有更高的分辨力，更低的均方根误差和更高的鲁棒性。
- 信号处理; 水声信号; 高阶累积量矩阵; 正交联合对角化; Jacobi旋转; 方位估计
Abstract: A new DOA estimation method based on orthogonal joint diagonalization of high-order cumulant is proposed. The high-order cumulant matrices are jointly utilized to DOA. Through processing high-order cumulant matrices by the new technique of orthogonal joint diagonalization, the spatial spectrum can be defined by both joint diagonalization matrix and a set of diagonal matrices. This method is also proved to process the coherent sources, and can be used in the colored noise environment. Compared to cumulant-based method using single high-order cumulant matrix, the proposed method has the higher resolution, lower RMSE and stronger robust.

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张华, 冯大政, 聂卫科, 徐先峰. 非正交联合对角化盲源分离算法[J]. 西安电子科技大学学报, 2008, 35(1): 27-31.Zhang Hua, Feng Da-zheng, Nie Wei-ke, and Xu Xian-feng.Non-orthogonal joint diagonalization for blind sourceseparation[J]. Journal of Xidian University, 2008, 35(1):27-31.[2]Li Xi-lin and Zhang Xian-da. Nonorthogonal jointdiagonalization free of degenerate solution[J].IEEETransactions on Signal Processing.2007, 55(5):1803-1814[3]Wang Fu-xiang, Liu Zhong-kan, and Zhang Jun. A new jointdiagonalization algorithm with application in blind sourceseparation[J].IEEE Signal Processing Letter.2006, 13(1):41-44[4]Feng Da-zhang, Zhang Xian-da, and Bao Zheng. An efficientmultistage decomposition approach for independentcomponents[J].Signal Processing.2003, 83(1):181-197[5]聂卫科, 冯大政, 刘建强. 二维波达方向估计的非酉联合对角化方法[J]. 西安交通大学学报, 2008, 42(6): 747-750.Nie Wei-ke, Feng Da-zheng, and Liu Jian-qiang. Non-unitaryjoint diagonalization method for estimating two-dimensiondirection of arrival[J]. Journal of Xian Jiaotong University,2008, 42(6): 747-750.[6]王鼎, 吴瑛. 基于改进遗传算法的矩阵联合对角化[J].电子与信息学报.2007, 29(3):578-581浏览[7]周祎, 冯大政, 刘建强. 基于联合对角化的近场源参数估计[J].电子与信息学报.2006, 28(10):1766-1769浏览[8]Lie Su, Leyman A Ra, and Chew Yo H. Fourth-order andweighted mixed order direction-of-arrival estimators[J]. IEEESignal Processing Letters, 2006, 12(11): 691-695.[9]Weissa A J and Friedlanderb B. Array processing using jointdiagonalization[J].Signal Processing.1996, 50(3):205-222[10]Cardoso J F and Souloumiac A. Jacobi angles forsimultaneous diagonalization[J]. SIAM Journal on MatrixAnalysis and Applications. 1996, 17(1): 161-163.[11]Wax M and Sheinvald J. A least-squares approach to jointdiagonalization[J].IEEE Signal Processing Letters.1997, 4(2):52-53

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