Title :
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
fDate :
4/1/1999 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
