Analysis of online secondary-path modeling with auxiliary noise scaled by residual noise signal

  • Authors:
  • Jian Liu;Yegui Xiao;Jinwei Sun;Li Xu

  • Affiliations:
  • Department of Automatic Testing and Control, Harbin Institute of Technology, Harbin, China;Department of Management and Information Systems, Prefectural University of Hiroshima, Hiroshima, Japan;Department of Automatic Testing and Control, Harbin Institute of Technology, Harbin, China;Department of Electronic Information Systems, Akita Prefectural University, Akita, Japan

  • Venue:
  • IEEE Transactions on Audio, Speech, and Language Processing
  • Year:
  • 2010

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Abstract

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.