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Towards non symmetrical optimal source separation contrasts

We consider the problem of sources separation and particularly criteria based approaches. A generalized definition of contrast function is given in order to consider non symmetrical and/or non scale invariant functions. Two generalized contrasts involving high-order cumulants are proposed. In the case of two sources, we derive the optimal non symmetrical coefficient by minimizing a performance index. Finally computer simulations are presented in order to illustrate the results and to show the interest in considering a non symmetrical contrast.