Bias compensated least mean mixed-norm adaptive filtering algorithm robust to impulsive noises

Minho Lee, In Seok Park, Chan Eun Park, Hosub Lee, Poogyeon Park

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

2 Scopus citations

Abstract

This paper proposes the bias-compensated normalized least mean mixed-norm (BC-LMMN) algorithm robust to the impulsive noises. This algorithm is derived from the cost function that uses mixed-norm of the l2 norm and l4 norm, where a mixing parameter is used to combine them. To reduce the bad effects of impulsive noises, two methods step-size scaler (SSS) and modified Huber function (MHF) are utilized. The SSS is derived from the modified log type cost function and is applied to the proposed algorithm to make the algorithm robust against the impulsive noises. MHF is a piece-wise linear function and effective in the impulsive noise environment. An unbiasedness criterion is adopted to eliminate the bias caused by the input noises and derive the bias compensation vector. Simulation results show that the proposed algorithm outperforms the traditional algorithms in the aspect of the convergence rate and the steady-state misalignment.

Original languageEnglish
Title of host publication2020 20th International Conference on Control, Automation and Systems, ICCAS 2020
PublisherIEEE Computer Society
Pages652-657
Number of pages6
ISBN (Electronic)9788993215205
DOIs
StatePublished - 13 Oct 2020
Event20th International Conference on Control, Automation and Systems, ICCAS 2020 - Busan, Korea, Republic of
Duration: 13 Oct 202016 Oct 2020

Publication series

NameInternational Conference on Control, Automation and Systems
Volume2020-October
ISSN (Print)1598-7833

Conference

Conference20th International Conference on Control, Automation and Systems, ICCAS 2020
Country/TerritoryKorea, Republic of
CityBusan
Period13/10/2016/10/20

Keywords

  • Bias compensation vector
  • Impulsive noises
  • Least mean mixed-norm (LMMN)
  • Modified Huber function (MHF)
  • Noisy input
  • Step size scaler (SSS)
  • Unbiasedness criterion

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