DocumentCode :
1365299
Title :
Minimization of the maximum error signal in active control
Author :
Gonzalez, Alberto ; Albiol, Antonio ; Elliott, Stephen J.
Author_Institution :
Dept. de Comunicaciones, Univ. Politecnica de Valencia, Spain
Volume :
6
Issue :
3
fYear :
1998
fDate :
5/1/1998 12:00:00 AM
Firstpage :
268
Lastpage :
281
Abstract :
This paper presents a new multichannel adaptive filtering algorithm for the active control of single frequency noise in acoustic systems. Most active control systems with multiple error sensors minimize the sum of the modulus squared output of these sensors. An adaptive algorithm is presented that minimizes an alternative cost function which, in the limit, is equal to the maximum of the modulus squared values of all the error sensors. The physical consequences of minimizing the maximum modulus squared output to achieve noise reduction are investigated. An analytical framework is developed that covers the steady state performance as well as the convergence properties. By means of simulations, the proposed algorithm has been applied to a linear model of a one-dimensional (1-D) acoustic system and compared with the classical least squares solutions. The proposed algorithm is also used in simulations of the control of the pressure measured at 32 microphone positions in a room using 16 loudspeakers, when the room is excited with an 88 Hz pure tone. The results of these simulations show that the observed convergence and steady-state properties agree well with the theoretical predictions. A comparison with the least squares solutions leads to the conclusion that the proposed algorithm leads to a more uniform acoustic field in the enclosure than the classical least squares algorithm
Keywords :
acoustic field; acoustic signal processing; acoustic transducer arrays; active noise control; adaptive filters; adaptive signal processing; architectural acoustics; array signal processing; convergence of numerical methods; filtering theory; loudspeakers; microphones; minimax techniques; minimisation; 1D acoustic system; 88 Hz; acoustic systems; active control; convergence properties; cost function; least squares algorithm; linear model; loudspeakers; maximum error signal minimisation; maximum modulus squared output; microphone positions; minimax algorithm; modulus squared output; multichannel adaptive filtering algorithm; multiple error sensors; noise reduction; pressure control; pure tone; room; simulations; single frequency noise; steady state performance; steady-state properties; uniform acoustic field; Acoustic noise; Acoustic sensors; Adaptive filters; Control systems; Error correction; Filtering algorithms; Frequency; Least squares methods; Sensor systems; Steady-state;
fLanguage :
English
Journal_Title :
Speech and Audio Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6676
Type :
jour
DOI :
10.1109/89.668820
Filename :
668820
Link To Document :
بازگشت