Blind Separation of Noncircular Sources Via Approximate Joint Diagonalization of Augmented Charrelation Matrices

被引:0
|
作者
Xiaoming Gou
Zhiwen Liu
Jingyan Ma
Yougen Xu
机构
[1] Beijing Institute of Technology,School of Information and Electronics
来源
Circuits, Systems, and Signal Processing | 2015年 / 34卷
关键词
Blind source separation; Characteristic function; Hessian matrix; Joint diagonalization; Noncircularity;
D O I
暂无
中图分类号
学科分类号
摘要
An augmented charrelation matrix (ACM), which can utilize both the conventional and the conjugate statistical information in the complex domain, is proposed. The ACM additionally makes use of the conjugate Hessian matrix (namely conjugate charrelation matrix) of the observations of noncircular sources. A blind separation scheme built on the approximate joint diagonalization (AJD) principle is introduced, which precedes some numerical examples to demonstrate the improved performance of the ACM-AJD approach compared with some algorithms in the literature.
引用
收藏
页码:695 / 705
页数:10
相关论文
共 50 条
  • [11] Blind separation of non stationary sources using joint block diagonalization
    Bousbia-Salah, H
    Belouchrani, A
    Abed-Meraim, K
    2001 IEEE WORKSHOP ON STATISTICAL SIGNAL PROCESSING PROCEEDINGS, 2001, : 448 - 451
  • [12] A study of identifiability for blind signal separation via nonorthogonal joint diagonalization
    Zhang Y.-L.
    Lou S.-T.
    Zhang W.-T.
    Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2010, 32 (05): : 1066 - 1070
  • [13] A nonunitary joint block diagonalization algorithm for blind separation of convolutive mixtures of sources
    Ghennioui, Hicham
    Fadaili, El Mostafa
    Thirion-Moreau, Nadge
    Adib, Abdellah
    Moreau, Eric
    IEEE SIGNAL PROCESSING LETTERS, 2007, 14 (11) : 860 - 863
  • [14] Application of blind source separation based on joint approximate diagonalization to gearbox fault diagnosis
    Power Eng. College, Naval Univ. of Engineering, Wuhan 430033, China
    Wuhan Ligong Daxue Xuebao (Jiaotong Kexue Yu Gongcheng Ban), 2006, 6 (1023-1026):
  • [15] A Simple Nonorthogonal Approximate Joint Diagonalization Algorithm and Its Application for Blind Source Separation
    Li, Changli
    Xu, Lizhong
    Xu, Shufang
    Zhang, Ying
    Tan, Yanchun
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 12 (04) : 549 - 552
  • [16] Fast Approximate Joint Diagonalization Incorporating Weight Matrices
    Tichavsky, Petr
    Yeredor, Arie
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2009, 57 (03) : 878 - 891
  • [17] On the blind source separation of human electroencephalogram by approximate joint diagonalization of second order statistics
    Congedo, Marco
    Gouy-Pailler, Cedric
    Jutten, Christian
    CLINICAL NEUROPHYSIOLOGY, 2008, 119 (12) : 2677 - 2686
  • [18] A Nonorthogonal Approximate Joint Diagonalization Method Excluding Degenerate Solution for Blind Source Separation
    Li, Changli
    Xu, Lizhong
    Xu, Shufang
    Li, Ying
    Chen, Haisheng
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (02) : 353 - 357
  • [19] Joint approximate diagonalization of positive definite Hermitian matrices
    Pham, DT
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2001, 22 (04) : 1136 - 1152
  • [20] Joint diagonalization of power spectral density matrices for blind source separation of convolutive mixtures
    Mei, TM
    Xi, JT
    Yin, FL
    Chicharo, JF
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 2, PROCEEDINGS, 2005, 3497 : 520 - 525