Identification of nonminimum phase FIR systems via fourth-order cumulants and genetic algorithm

Abstract In this paper, the problem of estimating the parameters of an FIR system from only the fourth-order cumulants of the noisy system output is considered. The FIR system is driven by a symmetric, independent, and identically distributed (i.i.d) non-Gaussian sequence. We propose a new formula called Weighted Overdetermined C( q, k ) (WOC( q, k )) by extending the conventional C( q, k ) formula. The optimal selection of the weights in WOC( q, k ) is performed by using the Genetic Algorithm (GA) optimization method which minimizes a nonlinear error function based on the fourth-order cumulants alone. Simulations are provided to reveal the effectiveness and the superiority of this novel technique over the C( q, k ) and other existing techniques.

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