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

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4 Author(s)
Jian Liu ; Dept. of Autom. Testing & Control, Harbin Inst. of Technol., Harbin, China ; Yegui Xiao ; Jinwei Sun ; Li Xu

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.

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Audio, Speech, and Language Processing, IEEE Transactions on  (Volume:18 ,  Issue: 8 )