Variable weight mixed-norm LMS-LMF adaptive algorithm

Tyseer Aboulnasr; Azzedine Zerguine

doi:10.1109/ACSSC.1999.832437

Variable weight mixed-norm LMS-LMF adaptive algorithm

Tyseer Aboulnasr, Azzedine Zerguine

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

20 Scopus citations

Abstract

In this paper, we propose a new mixed norm LMS-LMF adaptive algorithm. The algorithm minimizes an objective function defined as a weighted sum of the least mean fourth (LMF) and least mean square (LMS) cost functions. The weighting factor is time varying and adapts itself so as to emphasize one cost function over the other based on proximity to the optimum. Improved convergence is illustrated by examples. Bounds on the step size to ensure mean convergence are also derived.

Original language	English
Title of host publication	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Editors	Michael B. Matthews
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	791-794
Number of pages	4
ISBN (Electronic)	0780357000, 9780780357006
DOIs	https://doi.org/10.1109/ACSSC.1999.832437
State	Published - 1999

Publication series

Name	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Volume	1

Bibliographical note

Publisher Copyright:
© 1999 IEEE.

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Access to Document

10.1109/ACSSC.1999.832437

Cite this

Aboulnasr, T., & Zerguine, A. (1999). Variable weight mixed-norm LMS-LMF adaptive algorithm. In M. B. Matthews (Ed.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers (pp. 791-794). Article 832437 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACSSC.1999.832437

Aboulnasr, Tyseer ; Zerguine, Azzedine. / Variable weight mixed-norm LMS-LMF adaptive algorithm. Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. editor / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. pp. 791-794 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers).

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author = "Tyseer Aboulnasr and Azzedine Zerguine",

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Aboulnasr, T & Zerguine, A 1999, Variable weight mixed-norm LMS-LMF adaptive algorithm. in MB Matthews (ed.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers., 832437, Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 791-794. https://doi.org/10.1109/ACSSC.1999.832437

Variable weight mixed-norm LMS-LMF adaptive algorithm. / Aboulnasr, Tyseer; Zerguine, Azzedine.
Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. ed. / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. p. 791-794 832437 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper, we propose a new mixed norm LMS-LMF adaptive algorithm. The algorithm minimizes an objective function defined as a weighted sum of the least mean fourth (LMF) and least mean square (LMS) cost functions. The weighting factor is time varying and adapts itself so as to emphasize one cost function over the other based on proximity to the optimum. Improved convergence is illustrated by examples. Bounds on the step size to ensure mean convergence are also derived.

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Aboulnasr T, Zerguine A. Variable weight mixed-norm LMS-LMF adaptive algorithm. In Matthews MB, editor, Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. Institute of Electrical and Electronics Engineers Inc. 1999. p. 791-794. 832437. (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers). doi: 10.1109/ACSSC.1999.832437

Variable weight mixed-norm LMS-LMF adaptive algorithm

Abstract

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Bibliographical note

ASJC Scopus subject areas

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