A matrix-pencil approach to blind separation of colored nonstationary signals

Author

Chang, Chunqi ; Ding, Zhi ; Yau, Sze Fong ; Chan, Francis H Y

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ., Hong Kong

Volume

48

Issue

3

fYear

2000

fDate

3/1/2000 12:00:00 AM

Firstpage

900

Lastpage

907

Abstract

For many signal sources such as speech with distinct, nonwhite power spectral densities, second-order statistics of the received signal mixture can be exploited for signal separation. Without knowledge of the noise correlation matrix, we propose a simple and yet effective signal extraction method for signal source separation under unknown temporally white noise. This new and unbiased signal extractor is derived from the matrix pencil formed between output autocorrelation matrices at different delays. Based on the matrix pencil, an ESPRIT-type algorithm is derived to get an optimal solution in the least square sense. Our method is well suited for systems with colored sensor noises and for nonstationary signals

Keywords

array signal processing; correlation methods; iterative methods; least squares approximations; matrix algebra; statistical analysis; ESPRIT-type algorithm; blind separation; colored nonstationary signals; colored sensor noises; least squares; matrix-pencil approach; noise correlation matrix; nonstationary signals; nonwhite power spectral densities; output autocorrelation matrices; received signal mixture; second-order statistics; signal extraction method; signal source separation; signal sources; speech; unbiased signal extractor; unknown temporally white noise; Biomedical signal processing; Biosensors; Blind source separation; Frequency; Reduced order systems; Signal processing; Signal processing algorithms; Source separation; Speech processing; White noise;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.824690

Filename

824690