1 June 1992 Blind equalization with criterion with memory nonlinearity
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Optical Engineering, 31(6), (1992). doi:10.1117/12.57510
Abstract
Blind equalization methods usually combat the linear distortion caused by a nonideal channel via a transversal filter, without resorting to the a priori known training sequence. We introduce a new criterion with memory nonlinearity (CRIMNO) for the blind equalization problem. The basic idea of this criterion is to augment the Godard [or constant modulus algorithm (CMA)] cost function with additional terms that penalize the autocorrelations of the equalizer outputs. Several variations of the CRIMNO algorithm are derived, with the variations dependent on (1) whether the empirical averages or the single point estimates are used to approximate the expectations, (2) whether the recent or the delayed equalizer coefficients are used, and (3) whether the weights applied to the autocorrelation terms are fixed or are allowed to adapt. Simulation experiments show that the CRIMNO algorithm, and especially its adaptive weight version, exhibits faster convergence speed than the Godard (or CMA) algorithm. Extensions of the CRIMNO criterion to accommodate the case of correlated inputs to the channel are also presented.
Yuanjie Chen, Chrysostomos L. Nikias, John G. Proakis, "Blind equalization with criterion with memory nonlinearity," Optical Engineering 31(6), (1 June 1992). http://dx.doi.org/10.1117/12.57510
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Computer simulations

Zinc

Eye

Algorithm development

Digital filtering

Stochastic processes

Data communications

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