Analysis of the sign regressor least mean fourth adaptive algorithm

Zerguine, A., Ulla Faiz, M. and Zidouri, A. 2011. Analysis of the sign regressor least mean fourth adaptive algorithm. EURASIP Journal on Advances in Signal Processing. 2011 373205. https://doi.org/10.1155/2011/373205

TitleAnalysis of the sign regressor least mean fourth adaptive algorithm
TypeJournal article
AuthorsZerguine, A., Ulla Faiz, M. and Zidouri, A.
Abstract

A novel algorithm, called the signed regressor least mean fourth (SRLMF) adaptive algorithm, that reduces the computational cost and complexity while maintaining good performance is presented. Expressions are derived for the steady-state excess-mean-square error (EMSE) of the SRLMF algorithm in a stationary environment. A sufficient condition for the convergence in the mean of the SRLMF algorithm is derived. Also, expressions are obtained for the tracking EMSE of the SRLMF algorithm in a nonstationary environment, and consequently an optimum value of the step-size is obtained. Moreover, the weighted variance relation has been extended in order to derive expressions for the mean-square error (MSE) and the mean-square deviation (MSD) of the proposed algorithm during the transient phase. Computer simulations are carried out to corroborate the theoretical findings. It is shown that there is a good match between the theoretical and simulated results. It is also shown that the SRLMF algorithm has no performance degradation when compared with the least mean fourth (LMF) algorithm. The results in this study emphasize the usefulness of this algorithm in applications requiring reduced implementation costs for which the LMF algorithm is too complex.

Article number373205
JournalEURASIP Journal on Advances in Signal Processing
Journal citation2011
ISSN1687-6172
Year2011
PublisherSpringer
Publisher's version
License
CC BY
File Access Level
Open (open metadata and files)
Digital Object Identifier (DOI)https://doi.org/10.1155/2011/373205
Publication dates
Published2011

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