Performance analysis of normalized least mean p-norm lattice algorithm for alpha-stable processes

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Performance analysis of normalized least mean p-norm lattice algorithm for alpha-stable processes

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Title: Performance analysis of normalized least mean p-norm lattice algorithm for alpha-stable processes
Author: Kahaei, M.H.; Boashash, B; Deriche, M
Abstract: The existence of impulsive noise with alpha-stable distributions has been addressed in many applications. In this paper, we present two new adaptive algorithms using the lattice structure for a-stable processes. In these algorithms fractional lower order moments of residual errors are used to update the filter coefficients. Based on the empirical results, the proposed algorithms show superior convergence speed over presently available techniques in parameter estimation of astable processes. The problem of misalignment of the mean of the estimated parameters with respect to the true values is also addressed.
Description: This paper presents an adaptive gradient-based algorithm using the lattice structure for parameter estimation of AR alpha-stable processes. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10876
Date: 1999

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