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

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2015年 / 12卷 / 04期

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

页码：549 / 552

页数：4

共 50 条

[11] 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):
[12] A fast algorithm for joint diagonalization with non-orthogonal transformations and its application to blind source separation
Ziehe, A
Laskov, P
Nolte, G
Müller, KR
JOURNAL OF MACHINE LEARNING RESEARCH, 2004, 5 : 777 - 800
[13] Enhanced blind source separation algorithm for partial discharge signals using Joint Approximate diagonalization of Eigenmatrices
Jin, Hai
Pan, Jidong
Gao, Longlong
Zhang, Chaoming
Zhang, Hongliang
MEASUREMENT, 2025, 244
[14] A Jacobi Generalized Orthogonal Joint Diagonalization Algorithm for Joint Blind Source Separation
Gong, Xiao-Feng
Mao, Lei
Liu, Ying-Liang
Lin, Qiu-Hua
IEEE ACCESS, 2018, 6 : 38464 - 38474
[15] 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
[16] 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
[17] Joint Approximate Diagonalization Using Bilateral Rank-Reducing Householder Transform with Application in Blind Source Separation
Zhang Weitao
Liu Ning
Lou Shuntian
CHINESE JOURNAL OF ELECTRONICS, 2009, 18 (03): : 471 - 476
[18] Approximate Joint Diagonalization for ARMA Dependent Source Separation
Meziani, Saliha
Belouchrani, Adel
ABED-MERAIM, Karim
2020 IEEE 11TH SENSOR ARRAY AND MULTICHANNEL SIGNAL PROCESSING WORKSHOP (SAM), 2020,
[19] Non-orthogonal joint diagonalization algorithm based on hybrid trust region method and its application to blind source separation
Zeng, Tiao Jun
Feng, Quan Yuan
NEUROCOMPUTING, 2014, 133 : 280 - 294
[20] Nonorthogonal joint diagonalization/zero diagonalization for source separation based on time-frequency distributions
Fadaili, El Mostafa
Moreau, Nadege Thirion
Moreau, Eric
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (05) : 1673 - 1687

← 1 2 3 4 5 →