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The role of second-order statistics in blind equalization of nonlinear channels

We explore the utility of second-order statistics for blind equalization of nonlinear channels. Although any SOS-based method can only identify the channel to within a mixing matrix (at best), sufficient conditions are given to ensure that the ambiguity is at a level that still allows equalization. These conditions are satisfied by a wider class of inputs than those satisfying the conditions derived in previous works.