On optimal source separation based on second and fourth order cumulants

Author

Cardoso, J.F. ; Bose, S. ; Friedlander, B.

Author_Institution

Dept. SIG, Ecole Nat. Superieure des Telecommun., Paris, France

fYear

1996

fDate

24-26 Jun 1996

Firstpage

198

Lastpage

201

Abstract

This paper addresses performance issues in the source separation problem. By drawing on the theory of optimal statistic matching, we derive new contrast functions which are optimal among those involving a given set of cumulants. In low noise, the optimal combination of a particular set of cumulants are shown to be parameter independent and can be pre-computed. We give specific examples in closed form for several choices of 2nd and 4th order cumulants. The resulting performance is investigated as a function of the SNR for non-Gaussian source signals and further compared to suboptimal approaches

Keywords

array signal processing; higher order statistics; quadrature amplitude modulation; QAM; SNR; contrast functions; fourth order cumulants; non-Gaussian source signals; optimal source separation; optimal statistic matching; second order cumulants; Contracts; Covariance matrix; Gaussian processes; Higher order statistics; Independent component analysis; Noise robustness; Signal to noise ratio; Source separation; Statistical distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Statistical Signal and Array Processing, 1996. Proceedings., 8th IEEE Signal Processing Workshop on (Cat. No.96TB10004

Conference_Location

Corfu

Print_ISBN

0-8186-7576-4

Type

conf

DOI

10.1109/SSAP.1996.534852

Filename

534852