Adaptive filtering of EIV-FIR system by solving eigenvalue problems

Qi Tang, Lijuan Jia*, Shunshoku Kanae, Zijiang Yang

*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We study the problem of parameter estimation in the errors-in-variables-FIR (EIV-FIR) system where the input and output signals are both corrupted by additive noises. Since the least-mean-square (LMS) and the recursive-least-squares (RLS) algorithms are biased for EIV- FIR system, a new bias-compensated RLS (BCRLS) algorithm is proposed to get the unbiased estimate via solving eigenvalue problems of a matrix. The matrix is derived from the cross-correlation function between the LS error and the prediction error. Two auxiliary estimators are introduced to construct the prediction error. When the product of the auxiliary estimator and the system parameter is a minimal value, the proposed algorithm can deal well with this condition. Simulation results show the high accuracy, good tracking performance and robustness of the proposed algorithm in non-stationary EIV- FIR system.

Original languageEnglish
Title of host publicationProceedings of the 37th Chinese Control Conference, CCC 2018
EditorsXin Chen, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1782-1786
Number of pages5
ISBN (Electronic)9789881563941
DOIs
Publication statusPublished - 5 Oct 2018
Event37th Chinese Control Conference, CCC 2018 - Wuhan, China
Duration: 25 Jul 201827 Jul 2018

Publication series

NameChinese Control Conference, CCC
Volume2018-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference37th Chinese Control Conference, CCC 2018
Country/TerritoryChina
CityWuhan
Period25/07/1827/07/18

Keywords

  • Adaptive Filtering
  • Bias Compensation
  • EIV-FIR
  • Eigenvector
  • System Identification

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