Title :
Properties of FXLMS-Based Narrowband Active Noise Control With Online Secondary-Path Modeling
Author :
Xiao, Yegui ; Ma, Liying ; Hasegawa, Koji
Author_Institution :
Dept. of Manage. & Inf. Syst., Prefectural Univ. of Hiroshima, Hiroshima, Japan
Abstract :
Rotating machines such as diesel engines, cutting machines, fans, motors, etc., generate sinusoidal noise signals that may be effectively reduced by narrowband active noise control (ANC) systems. In this paper, a typical filtered-X LMS (FXLMS) based narrowband ANC system equipped with an online secondary-path modeling subsystem is analyzed in detail. First, difference equations governing the dynamics of the FXLMS algorithm for secondary source synthesis and the LMS algorithm for secondary-path estimation are derived in terms of convergence in both mean and mean square. Steady-state expressions for mean-square error (MSE) as well as the residual noise power are then developed in closed form. Extensive simulations are performed to demonstrate the validity of the analytical results.
Keywords :
acoustic signal processing; active noise control; difference equations; filtering theory; least mean squares methods; ANC; FXLMS; MSE; difference equations; filtered-X LMS; mean-square error; narrowband active noise control; online secondary-path modeling; rotating machines; secondary source synthesis; secondary-path estimation; sinusoidal noise signals; Convergence; FXLMS; narrowband active noise control; online secondary-path modeling; steady-state mean-square error (MSE);
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2009.2020766