Analysis of the adaptive filter algorithm for feedback-type active noise control

Author

Sakai, Hideaki ; Miyagi, Shigeyuki

Author_Institution

Dept. of Syst. Sci., Kyoto Univ., Japan

Volume

6

fYear

2001

fDate

2001

Firstpage

3841

Abstract

The feedback-type active noise control (ANC) system uses only one microphone to provide necessary signals for adjusting the adaptive filter. Due to the complicated nature of the whole adaptive filter structure there have been no theoretical results about its convergence properties. First a stationary point of the adaptive filter using the filtered-X LMS algorithm is obtained by the averaging method combined with the frequency domain technique. Then the local convergence condition is derived. This is a counterpart of the well-known 90° condition for the feedforward-type ANC. Finally, the convergence condition is explicitly given for a simple example and its validity is shown by some simulations

Keywords

active noise control; adaptive filters; convergence of numerical methods; feedback; frequency-domain analysis; least mean squares methods; active noise control; adaptive filter algorithm; averaging method; convergence properties; feedback-type ANC; filtered-X LMS algorithm; frequency domain technique; microphone; stationary point; Active noise reduction; Adaptive filters; Algorithm design and analysis; Control systems; Convergence; Discrete Fourier transforms; Frequency domain analysis; Least squares approximation; Microphones; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940681

Filename

940681