An Optimized FXLMS based Algorithm for Application in Nonlinear Environments

Márcio Holsbach Costa, José Carlos Moreira Bermudez

DOI: 10.14209/its.2002.615

Evento: 2002 International Telecommunications Symposium (ITS2002)

Keywords:

Abstract

"This work presents a new algorithm based on the Minimum Output Variance Least Mean Square Estimator when the influence of the secondary path can not be neglected and its output is constrained by a saturation nonlinearity. This situation is typical in several adaptive modeling and control systems where the associated hardware and transducers have a finite power handling capability. Analytical expressions are obtained for the behavior of the mean weight vector and for the mean square error for Gaussian inputs and slow learning. The optimum penalty factor is determined. The new algorithm provides an unbiased solution to the associated nonlinear mean square estimation problem for small estimation errors of the secondary path and degree of nonlinearity. Monte Carlo simulations show excellent agreement with the predictions of the theoretical model."

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