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

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.