Stability of active noise control algorithms

Author

Jacobson, Clas A. ; Johnson, C. Richard, Jr. ; McCormick, Duane C. ; Sethares, William A.

Author_Institution

United Technol. Res. Center, East Hartford, CT, USA

Volume

8

Issue

3

fYear

2001

fDate

3/1/2001 12:00:00 AM

Firstpage

74

Lastpage

76

Abstract

This paper provides a stability analysis of a class of acoustic noise control algorithms by showing that the adapted models have more in common with nonlinear, finite impulse response (FIR) equation error models than with the infinite impulse response (IIR) output error models they superficially resemble. Stability results from the adaptive control literature are applied to show global stability in the noise free case, and to show exponential stability when the input is persistently excited. The latter demonstrates a robustness to mismodeling errors, disturbances such as noises, and allows results to be applied to the tracking of time-varying systems.

Keywords

FIR filters; active noise control; adaptive control; adaptive filters; stability; FIR equation error model; IIR output error models; acoustic noise control algorithms; active noise control algorithms; adaptive control; exponential stability; global stability; infinite impulse response output error models; mismodeling errors robustness; noise free case; nonlinear finite impulse response equation; persistently excited input; stability analysis; time-varying systems; tracking; Acoustic noise; Active noise reduction; Adaptive control; Error correction; Finite impulse response filter; IIR filters; Jacobian matrices; Noise cancellation; Signal processing algorithms; Stability analysis;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.905944

Filename

905944