The effect of transfer function estimation errors on the filtered-x LMS algorithm

Author

Snyder, Scott D. ; Hansen, Colin H.

Author_Institution

Dept. of Mech. Eng., Adelaide Univ., SA, Australia

Volume

42

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

950

Lastpage

953

Abstract

The filtered-x LMS algorithm, which is commonly implemented in active noise and vibration control systems, requires an estimate of the cancellation path transfer function to maintain algorithm stability. This correspondence considers the effect of errors in this estimate on the stability of the algorithm implemented in the time domain, concluding that while a maximum phase error of ±90° is a bound for stability, there is no simple relationship between error and stability within this region

Keywords

control systems; control theory; convergence of numerical methods; error analysis; filtering and prediction theory; least squares approximations; noise abatement; parameter estimation; transfer functions; vibration control; active noise control systems; algorithm stability; cancellation path transfer function; filtered-x LMS algorithm; maximum phase error; time domain; transfer function estimation errors; vibration control systems; Adaptive filters; Autocorrelation; Convergence; Estimation error; Finite impulse response filter; Least squares approximation; Signal processing; Signal processing algorithms; Transfer functions; Vibration control;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.285659

Filename

285659