Blind separation of instantaneous mixture of sources based on order statistics

In this paper, we introduce a novel procedure for separating an instantaneous mixture of source based on the order statistics. The method is derived in a general context of independence component analysis, using a contrast function defined in term of the Kullback–Leibler divergence or of the mutual information.We introduce a discretized form of this contrast permitting its easy estimation through the order statistics. We show that the local contrast property is preserved and derive a global contrast, exploiting only the information of the support of the distribution (in case this support is finite). Some simulations are given, illustrating the good performance of the method.