A Simple Nonorthogonal Approximate Joint Diagonalization Algorithm and Its Application for Blind Source Separation

被引:1
|
作者
Li, Changli [1 ]
Xu, Lizhong [1 ]
Xu, Shufang [1 ]
Zhang, Ying [2 ]
Tan, Yanchun [2 ]
机构
[1] Hohai Univ, Coll Comp & Informat Engn, Nanjing 211100, Jiangsu, Peoples R China
[2] Guangdong Ocean Univ, Sch Informat Engn, Zhanjiang 524088, Peoples R China
基金
中国国家自然科学基金;
关键词
Blind Source Separation (BSS); Joint Diagonalization; Approximate Joint Diagonalization; Diagonal Element;
D O I
10.1166/jctn.2015.3763
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Approximate joint diagonalization (AJD) of a set of matrices is an effective method for the blind source separation (BSS) problem. It is said that the separation performance of nonorthogonal AJD is better than that of orthogonal AJD, so this paper is devoted to designing a novel nonorthogonal AJD criterion. The proposed criterion does not impose any restriction on the diagonalizing matrix, but it can automatically exclude the degenerate solution during the learning iterations. It takes not only the off-diagonal elements but also the diagonal elements of diagonalized matrices into account, so it can achieve better diagonalization results. Simulation experiments are presented to demonstrate the validity of the proposed algorithm.
引用
收藏
页码:549 / 552
页数:4
相关论文
共 50 条
  • [41] Nonorthogonal joint diagonalization of spatial quadratic time-frequency matrices for source separation
    Giulieri, L
    Ghennioui, H
    Thirion-Moreau, N
    Moreau, E
    IEEE SIGNAL PROCESSING LETTERS, 2005, 12 (05) : 415 - 418
  • [42] Blind source separation algorithm for convolutive speech mixtures using joint block-diagonalization
    Xu, Shun
    Chen, Shao-Rong
    Liu, Yu-Lin
    Zhendong yu Chongji/Journal of Vibration and Shock, 2007, 26 (08): : 86 - 90
  • [43] Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization
    Wang, Fuxiang
    Liu, Zhongkan
    Zhang, Jun
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (11) : 5299 - 5308
  • [44] Separation of Radiated EMI Noise based on Joint Approximate Diagonalization Algorithm
    Zhu, Zhibo
    Yan, Wei
    Zhao, Yang
    Liu, Xingfa
    Zhang, Tao
    APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL, 2021, 36 (01): : 41 - 47
  • [45] A novel approximate joint diagonalization algorithm
    Klajman, M
    Chambers, JA
    MATHEMATICS IN SIGNAL PROCESSING V, 2002, (71): : 69 - 77
  • [46] Combined Noise Reduction and Joint Diagonalization Techniques for Blind Source Separation
    Mirtavoosi, Sayed Ayoub
    Sahaf, Masoud Reza Aghabozorgi
    Abutalebi, Vahid
    SECOND INTERNATIONAL CONFERENCE ON COMPUTER AND ELECTRICAL ENGINEERING, VOL 1, PROCEEDINGS, 2009, : 541 - 544
  • [47] Double microphone blind source separation based on improved joint diagonalization
    Hu Wenlin
    Huang Man-lu
    Yang Qiao-he
    Lu Xun
    Hu Xuhong
    Wang Jie
    Yuan Min-Min
    PROCEEDINGS OF 2021 7TH INTERNATIONAL CONFERENCE ON CONDITION MONITORING OF MACHINERY IN NON-STATIONARY OPERATIONS (CMMNO), 2021, : 82 - 89
  • [48] Double microphone blind source separation based on improved joint diagonalization
    Wenlin, Hu
    Man-Lu, Huang
    Qiao-He, Yang
    Xun, Lu
    Xuhong, Hu
    Jie, Wang
    Min-Min, Yuan
    2021 7th International Conference on Condition Monitoring of Machinery in Non-Stationary Operations, CMMNO 2021, 2021, : 82 - 89
  • [49] A Bias-Variance Dilemma in Joint Diagonalization and Blind Source Separation
    Afsari, Bijan
    2009 3RD IEEE INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING (CAMSAP), 2009, : 324 - 327
  • [50] A Bias-Variance Dilemma in Joint Diagonalization and Blind Source Separation
    Afsari, Bijan
    2009 3RD IEEE INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING (CAMSAP 2009), 2009, : 324 - 327