BLIND SOURCES SEPARATION BY SIMULTANEOUS GENERALIZED REFERENCED CONTRASTS DIAGONALIZATION

In this contribution we generalize some links between contrasts functions and considering of a reference signal in the field of source separation. This yields a new contrasts that allows us to show that a function proposed in [4] is also a contrast, and frees us from the constraints on the introduced reference signal [1]. Associated optimization criteria is shown to have a close relation to a joint-diagonalization criterion of a matrices set. Moreover, the algorithm is of the same kind as JADE algorithm. Also, the number of matrices to be joint diagonalized is reduced in relation to SSARS algorithm [4] and to JADE one [2]. Simulations studies are used to show that the convergence properties of the new contrasts, even in real environment, are much improved upon those of the conventional algorithms.