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Properties of FXLMS-Based Narrowband Active Noise Control With Online Secondary-Path Modeling

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3 Author(s)
Yegui Xiao ; Dept. of Manage. & Inf. Syst., Prefectural Univ. of Hiroshima, Hiroshima, Japan ; Liying Ma ; Hasegawa, K.

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.

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Signal Processing, IEEE Transactions on  (Volume:57 ,  Issue: 8 )