Title :
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
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;
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
DOI :
10.1109/SSAP.1996.534852
