On the convergence, steady-state, and tracking analysis of the SRLMMN algorithm

Mohammed Mujahid Ulla Faiz, Azzedine Zerguine

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

In this work, a novel algorithm named sign regressor least mean mixed-norm (SRLMMN) algorithm is proposed as an alternative to the well-known least mean mixed-norm (LMMN) algorithm. The SRLMMN algorithm is a hybrid version of the sign regressor least mean square (SRLMS) and sign regressor least mean fourth (SRLMF) algorithms. Analytical expressions are derived to describe the convergence, steady-state, and tracking behavior of the proposed SRLMMN algorithm. To validate our theoretical findings, a system identification problem is considered for this purpose. It is shown that there is a very close correspondence between theory and simulation. Finally, it is also shown that the SRLMMN algorithm is robust enough in tracking the variations in the channel.

Original languageEnglish
Title of host publication2015 23rd European Signal Processing Conference, EUSIPCO 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2691-2695
Number of pages5
ISBN (Electronic)9780992862633
DOIs
StatePublished - 22 Dec 2015

Publication series

Name2015 23rd European Signal Processing Conference, EUSIPCO 2015

Bibliographical note

Publisher Copyright:
© 2015 EURASIP.

Keywords

  • LMF
  • LMMN
  • LMS
  • SRLMF
  • SRLMMN
  • SRLMS
  • convergence
  • mixed-norm
  • sign regressor
  • steady-state
  • tracking

ASJC Scopus subject areas

  • Media Technology
  • Computer Vision and Pattern Recognition
  • Signal Processing

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