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Design and analysis of an RLS-type modified filtered-x algorithm for adaptive IIR filters

Research output: Contribution in Book/Report/ProceedingsPaper

Published

Associated organisation

Publication date2008
Host publicationSignal Processing, 2008. ICSP 2008. 9th International Conference on
EditorsB. Z. Yuan, Q. Q. Ruan, X. F. Tang
Place of publicationNew York
PublisherIEEE
Pages219-222
Number of pages4
ISBN (Electronic)978-1-4244-2179-4
ISBN (Print)978-1-4244-2178-7
Original languageEnglish

Conference

Conference9th International Conference on Signal Processing
CityBeijing
Period26/10/0829/10/08

Conference

Conference9th International Conference on Signal Processing
CityBeijing
Period26/10/0829/10/08

Abstract

This study presents design and robust stability analysis of a novel version of RLS-type adaptive IIR filter in the modified filtered-x structure. The derivation of the algorithm is by transforming the original ANVC problem to an output-error identification problem without assuming that the slow adaptation condition holds. By considering fast adaptation of the filter weights and also the assumption that nonparametric uncertainty exists in the estimation of the secondary path, the stability of the proposed algorithm is analyzed using Lyapanov theory. In fact by introducing a time-varying scalar parameter in the adaptation, a sufficient condition based on the value of this parameter and the size of the uncertainty is derived