Robust Blind Equalization Algorithms Based on the Constrained Maximization of a Fourth-Order Cumulant Function

Kiyotaka KOHNO  Mitsuru KAWAMOTO  Asoke K. NANDI  Yujiro INOUYE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A    No.5    pp.1495-1499
Publication Date: 2006/05/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.5.1495
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
blind equalization,  Gaussian noise,  single-input single-output infinite impulse response (SISO-IIR) systems,  fourth-order cumulant functions,  eigenvector algorithms,  

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The present letter deals with the blind equalization problem of a single-input single-output infinite impulse response (SISO-IIR) channel with additive Gaussian noise. To solve the problem, we propose a new criterion for maximizing constrainedly a fourth-order cumulant. The algorithms derived from the criterion have such a novel property that even if Gaussian noise is added to the output of the channel, an effective zero-forcing (ZF) equalizer can be obtained with as little influence of Gaussian noise as possible. To show the validity of the proposed criterion, some simulation results are presented.