Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification

Naveed Iqbal; Murwan Bashir; Azzedine Zerguine; Abdeldjalil Aissa El Bey

doi:10.1109/IEEECONF44664.2019.9048873

Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification

Naveed Iqbal, Murwan Bashir, Azzedine Zerguine, Abdeldjalil Aissa El Bey

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

2 Scopus citations

Abstract

The objective of this work is to introduce a convex combination of two filters to perform a variable sparse system identification. The first filter is based on the Least Mean Fourth algorithm (LMF), whereas the second is based on its sparse aware version, i.e., the Zero-attractor-LMF (ZA-LMF) algorithm. The convex combination is proposed to solve the sparsity problem under non-Gaussian noise environments. The universality study of the filter indicates that the convex combination always chooses the component filter that offers the lowest Excess Mean Square Error (EMSE) possible. Computer Simulations are performed to confirm the theoretical findings.

Original language	English
Title of host publication	Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019
Editors	Michael B. Matthews
Publisher	IEEE Computer Society
Pages	794-799
Number of pages	6
ISBN (Electronic)	9781728143002
DOIs	https://doi.org/10.1109/IEEECONF44664.2019.9048873
State	Published - Nov 2019

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
Volume	2019-November
ISSN (Print)	1058-6393

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Keywords

Least Mean Fourth (LMF)
Sparse solution
Transform Domain (TD)
Weighted Zero Attractor WZA
Zero-Attractor ZA
l norm
l norm

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Access to Document

10.1109/IEEECONF44664.2019.9048873

Cite this

Iqbal, N., Bashir, M., Zerguine, A., & El Bey, A. A. (2019). Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification. In M. B. Matthews (Ed.), Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019 (pp. 794-799). Article 9048873 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2019-November). IEEE Computer Society. https://doi.org/10.1109/IEEECONF44664.2019.9048873

Iqbal, Naveed ; Bashir, Murwan ; Zerguine, Azzedine et al. / Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification. Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019. editor / Michael B. Matthews. IEEE Computer Society, 2019. pp. 794-799 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

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abstract = "The objective of this work is to introduce a convex combination of two filters to perform a variable sparse system identification. The first filter is based on the Least Mean Fourth algorithm (LMF), whereas the second is based on its sparse aware version, i.e., the Zero-attractor-LMF (ZA-LMF) algorithm. The convex combination is proposed to solve the sparsity problem under non-Gaussian noise environments. The universality study of the filter indicates that the convex combination always chooses the component filter that offers the lowest Excess Mean Square Error (EMSE) possible. Computer Simulations are performed to confirm the theoretical findings.",

keywords = "Least Mean Fourth (LMF), Sparse solution, Transform Domain (TD), Weighted Zero Attractor WZA, Zero-Attractor ZA, l norm, l norm",

author = "Naveed Iqbal and Murwan Bashir and Azzedine Zerguine and {El Bey}, {Abdeldjalil Aissa}",

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Iqbal, N, Bashir, M, Zerguine, A & El Bey, AA 2019, Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification. in MB Matthews (ed.), Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019., 9048873, Conference Record - Asilomar Conference on Signals, Systems and Computers, vol. 2019-November, IEEE Computer Society, pp. 794-799. https://doi.org/10.1109/IEEECONF44664.2019.9048873

Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification. / Iqbal, Naveed; Bashir, Murwan; Zerguine, Azzedine et al.
Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019. ed. / Michael B. Matthews. IEEE Computer Society, 2019. p. 794-799 9048873 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2019-November).

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

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Iqbal N, Bashir M, Zerguine A, El Bey AA. Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification. In Matthews MB, editor, Conference Record - 53rd Asilomar Conference on Circuits, Systems and Computers, ACSSC 2019. IEEE Computer Society. 2019. p. 794-799. 9048873. (Conference Record - Asilomar Conference on Signals, Systems and Computers). doi: 10.1109/IEEECONF44664.2019.9048873

Convex Combination of LMF and ZA-LMF for Variable Sparse System Identification

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this