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l0-norm Feature LMS Algorithms

Abstract: 

A class of algorithms known as feature least-mean-square (FLMS) has been proposed recently to exploit hidden sparsity
in adaptive filter parameters. In contrast to common sparsityaware adaptive filtering algorithms, the F-LMS algorithm detects and exploits sparsity in linear combinations of filter coefficients. Indeed, by applying a feature matrix to the adaptive filter coefficients vector, the F-LMS algorithm can reveal and exploit their hidden sparsity. However, in many cases the unknown plant to be identified contains not only hidden but also plain sparsity and the F-LMS algorithm is unable to exploit it. Therefore, we can incorporate sparsity-promoting techniques into the F-LMS algorithm in order to allow the exploitation of plain sparsity. In this paper, by utilizing the l0-norm, we propose the l0-norm F-LMS (l0-F-LMS) algorithm for sparse lowpass and sparse highpass systems. Numerical results show that the proposed algorithm outperforms the F-LMS algorithm when dealing with hidden sparsity, particularly in highly sparse systems where the convergence rate is sped up significantly.

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Paper Details

Authors:
Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima
Submitted On:
16 November 2018 - 4:29pm
Short Link:
Type:
Poster
Event:
Presenter's Name:
José Antonio Apolinário Jr.
Paper Code:
GS-P.5.10
Document Year:
2018
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Document Files

PosterGlobalSIP_2018.pdf

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[1] Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima, "l0-norm Feature LMS Algorithms", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3671. Accessed: May. 21, 2019.
@article{3671-18,
url = {http://sigport.org/3671},
author = {Hamed Yazdanpanah; José Antonio Apolinário Jr.; Paulo Sergio Ramirez Diniz; Markus Vinicius Santos Lima },
publisher = {IEEE SigPort},
title = {l0-norm Feature LMS Algorithms},
year = {2018} }
TY - EJOUR
T1 - l0-norm Feature LMS Algorithms
AU - Hamed Yazdanpanah; José Antonio Apolinário Jr.; Paulo Sergio Ramirez Diniz; Markus Vinicius Santos Lima
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3671
ER -
Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima. (2018). l0-norm Feature LMS Algorithms. IEEE SigPort. http://sigport.org/3671
Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima, 2018. l0-norm Feature LMS Algorithms. Available at: http://sigport.org/3671.
Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima. (2018). "l0-norm Feature LMS Algorithms." Web.
1. Hamed Yazdanpanah, José Antonio Apolinário Jr., Paulo Sergio Ramirez Diniz, Markus Vinicius Santos Lima. l0-norm Feature LMS Algorithms [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3671