arrow
返回

Nonnegative Joint Diagonalization by Congruence Based on LU Matrix Factorization

delete2013-08-01
delete10
delete
OA
AI
王
王鲁 (Lu Wang) *
L
Laurent Albera
A
Amar Kachenoura
舒
舒华忠 (Huazhong Shu)
L
Lotfi Senhadji
DOI:10.1109/LSP.2013.2267797delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
In this letter, a new algorithm for joint diagonalization of a set of matrices by congruence is proposed to compute the nonnegative joint diagonalizer. The nonnegativity constraint is imposed by means of a square change of variables. Then we formulate the high-dimensional optimization problem into several sequential polynomial subproblems using LU matrix factorization. Numerical experiments on simulated matrices emphasize the advantages of the proposed method, especially in the case of degeneracies such as for low SNR values and a small number of matrices. An illustration of blind separation of nuclear magnetic resonance spectroscopy confirms the validity and improvement of the proposed method.
Keyword:
Blind source separation
independent component analysis
LU factorization
nonnegative joint diagonalization by congruence
nuclear magnetic resonance spectroscopy

期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

U
universite de rennes
学者数:
1.7W
论文数: 1.3W
被引数: 30
I
institut national de la sante et de la recherche medicale (inserm)
学者数:
11.5W
论文数: 7.5W
被引数: 117
引用论文

引用论文

Selective growth of (001) GaAs using a patterned graphene mask
err2014-09-01
err0
PREAI
errYujirou Hirota; Yuya Shirai; Hiromu Iha; Yusuke Kito; Manabu Suzuki; Hironao Kato; Nao Yamamoto; Takahiro Maruyama; Shigeya Naritsuka
err分享
err收藏
err分享
err收藏
Injection‐Induced Seismicity Size Distribution Dependent on Shear Stress
err2021-04-28
err0
errOAAI
errY. Mukuhira; M. C. Fehler; T. Ito; H. Asanuma; M. O. Häring
err分享
err收藏
学者 查看更多内容