Convergence analysis of the multi-variable filtered-X LMS algorithm with application to active noise control

Author

Wang, A. Kuo ; Ren, Wei

Author_Institution

Appl. Signal Technol. Inc., Sunnyvale, CA, USA

Volume

47

Issue

4

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

1166

Lastpage

1169

Abstract

Averaging analysis is used to study the asymptotic behavior of the multichannel filtered-X LMS algorithm for the rejection of narrowband and broadband stationary disturbances, a multivariable strictly positive real (SPR) condition on the multi-input multi-output (MIMO) plant model error is shown to be sufficient for convergence

Keywords

MIMO systems; active noise control; adaptive filters; adaptive signal processing; convergence of numerical methods; differential equations; filtering theory; least mean squares methods; MIMO plant model error; active noise control; adaptive feedforward control; asymptotic behavior; averaging analysis; broadband stationary disturbance rejection; convergence analysis; multi-input multi-output; multi-variable filtered-X LMS algorithm; multichannel filtered-X LMS algorithm; multivariable strictly positive real condition; narrowband stationary disturbance rejection; ordinary differential equation; Acoustic noise; Active noise reduction; Adaptive control; Algorithm design and analysis; Convergence; Least squares approximation; Loudspeakers; Microphones; Narrowband; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.752618

Filename

752618