Analysis of the filtered-X LMS algorithm

Author

Bjarnason, Elizabeth

Author_Institution

Inst. fur Netzwerk- und Signaltheorie, Tech. Hochschule Darmstadt

Volume

3

Issue

6

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

504

Lastpage

514

Abstract

The presence of a transfer function in the auxiliary-path following the adaptive filter and/or in the error-path, as in the case of active noise control, has been shown to generally degrade the performance of the LMS algorithm. Thus, the convergence rate is lowered, the residual power is increased, and the algorithm can even become unstable. To ensure convergence of the algorithm, the input to the error correlator has to be filtered by a copy of the auxiliary-error-path transfer function. This paper presents an analysis of the filtered-X LMS algorithm using stochastic methods. The influence of off-line and on-line estimation of the error-path filter on the algorithm is also investigated. Some derived bounds and predicted dynamic behavior are found to correspond very well to simulation results

Keywords

active noise control; adaptive filters; convergence of numerical methods; error analysis; estimation theory; least mean squares methods; stochastic processes; transfer functions; active noise control; adaptive filter; auxiliary-path; convergence rate; dynamic behavior; error correlator; error-path; filtered-X LMS algorithm; off-line estimation; on-line estimation; performance; residual power; simulation; stochastic methods; transfer function; Active noise reduction; Adaptive filters; Algorithm design and analysis; Convergence; Correlators; Degradation; Error correction; Least squares approximation; Stochastic processes; Transfer functions;

fLanguage

English

Journal_Title

Speech and Audio Processing, IEEE Transactions on

Publisher

ieee

ISSN

1063-6676

Type

jour

DOI

10.1109/89.482218

Filename

482218