Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization

Fuxiang Wang; Zhongkan Liu; Jun Zhang

doi:10.1109/TSP.2007.899378

Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization

Fuxiang Wang^*
, Zhongkan Liu
, Jun Zhang

^*Corresponding author for this work

School of Electronic and Information Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

The joint diagonalization technique is an important type of method for blind source separation. In this paper, a new approach is presented to joint diagonalization for a set of symmetric matrices with a general (and not necessarily orthogonal) matrix. The approach performs joint diagonalization via a series of symmetric eigen decompositions, including merits of simplicity, effectiveness, and computational efficiency. Simulation results demonstrate the potential improvement of the performance in the context of blind source separation.

Original language	English
Pages (from-to)	5299-5308
Number of pages	10
Journal	IEEE Transactions on Signal Processing
Volume	55
Issue number	11
DOIs	https://doi.org/10.1109/TSP.2007.899378
State	Published - Nov 2007

Keywords

Blind source separation
Independent component analysis
Joint diagonalization

Access to Document

10.1109/TSP.2007.899378

Cite this

@article{ee9e2d2e560348e9aa0f6448e6661a1d,

title = "Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization",

abstract = "The joint diagonalization technique is an important type of method for blind source separation. In this paper, a new approach is presented to joint diagonalization for a set of symmetric matrices with a general (and not necessarily orthogonal) matrix. The approach performs joint diagonalization via a series of symmetric eigen decompositions, including merits of simplicity, effectiveness, and computational efficiency. Simulation results demonstrate the potential improvement of the performance in the context of blind source separation.",

keywords = "Blind source separation, Independent component analysis, Joint diagonalization",

author = "Fuxiang Wang and Zhongkan Liu and Jun Zhang",

year = "2007",

month = nov,

doi = "10.1109/TSP.2007.899378",

language = "英语",

volume = "55",

pages = "5299--5308",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "11",

}

TY - JOUR

T1 - Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization

AU - Wang, Fuxiang

AU - Liu, Zhongkan

AU - Zhang, Jun

PY - 2007/11

Y1 - 2007/11

N2 - The joint diagonalization technique is an important type of method for blind source separation. In this paper, a new approach is presented to joint diagonalization for a set of symmetric matrices with a general (and not necessarily orthogonal) matrix. The approach performs joint diagonalization via a series of symmetric eigen decompositions, including merits of simplicity, effectiveness, and computational efficiency. Simulation results demonstrate the potential improvement of the performance in the context of blind source separation.

AB - The joint diagonalization technique is an important type of method for blind source separation. In this paper, a new approach is presented to joint diagonalization for a set of symmetric matrices with a general (and not necessarily orthogonal) matrix. The approach performs joint diagonalization via a series of symmetric eigen decompositions, including merits of simplicity, effectiveness, and computational efficiency. Simulation results demonstrate the potential improvement of the performance in the context of blind source separation.

KW - Blind source separation

KW - Independent component analysis

KW - Joint diagonalization

UR - https://www.scopus.com/pages/publications/36248958593

U2 - 10.1109/TSP.2007.899378

DO - 10.1109/TSP.2007.899378

M3 - 文章

AN - SCOPUS:36248958593

SN - 1053-587X

VL - 55

SP - 5299

EP - 5308

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 11

ER -

Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this