Analysis of Online Secondary-Path Modeling With Auxiliary Noise Scaled by Residual Noise Signal

Author

Liu, Jian ; Xiao, Yegui ; Sun, Jinwei ; Xu, Li

Author_Institution

Dept. of Autom. Testing & Control, Harbin Inst. of Technol., Harbin, China

Volume

18

Issue

8

fYear

2010

Firstpage

1978

Lastpage

1993

Abstract

Online secondary-path modeling of active noise control (ANC) systems may be effectively implemented by injecting an auxiliary white noise whose magnitude is scaled by a function of residual noise signal. In this paper, a filtered-X LMS (FXLMS) based narrowband ANC system is analyzed, whose online secondary-path modeling is based on the use of an auxiliary white noise scaled by one-sample-delayed residual noise signal. Difference equations governing the dynamics of the entire system and closed-form expressions for steady-state mean-square errors (MSE) as well as the residual noise power are derived and discussed in detail. Extensive simulations are conducted to confirm the validity of the analytical findings.

Keywords

acoustic signal processing; active noise control; difference equations; mean square error methods; ANC online secondary path modeling; FXLMS; active noise control; auxiliary white noise; difference equations; filtered-X LMS; mean square errors; residual noise signal; Active noise reduction; Closed-form solution; Control system synthesis; Difference equations; Least squares approximation; Narrowband; Power system modeling; Signal analysis; Steady-state; White noise; Auxiliary noise; filtered-X LMS (FXLMS); narrowband active noise control; online secondary-path modeling; performance analysis;

fLanguage

English

Journal_Title

Audio, Speech, and Language Processing, IEEE Transactions on

Publisher

ieee

ISSN

1558-7916

Type

jour

DOI

10.1109/TASL.2010.2040789

Filename

5393063