Blind identification of a linear-quadratic mixture of independent components based on joint diagonalization procedure

Authors:
K. Abed-Meraim;A. Belouchiani;Y. Hua
Affiliations:
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia;-;-
Venue:
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 05
Year:
1996

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Abstract

In this paper, we address the problem of the blind identification of linear-quadratic instantaneous mixture of statistically independent random variables. This problem consists in the identification of an unknown linear-quadratic transmission channel excited by temporally correlated and mutually independent source signals, using only statistical information on the observations received by an array of sensors. Herein we propose a new technique of blind identification of this non-linear mixture based on joint diagonalization of a set of data correlation matrices. Several numerical simulations are presented to demonstrate the effectiveness of the method in the case of a quadratic phase-coupling mixture.