The Journal of Korean Institute of Communications and Information Sciences (한국통신학회논문지)

The Korean Institute of Commucations and Information Sciences (한국통신학회)
권호 표지

Convergence Analysis of the Filtered-x LMS Adaptive Algorithm for Active Noise Control System

  • Published : 2003.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

Application of the Filtered-X LMS adaptive filter to active noise control requires to estimate the transfer characteristics between the output and the error signal of the adaptive canceler. In this paper, we derive an adaptive control algorithm and analyze its convergence behavior when the acoustic noise is assumed to consist of multiple sinusoids. The results of the convergence analysis of the Filtered-X LMS algorithm indicate that the effects of parameter estimation inaccuracy on the convergence behavior of the algorithm are characterize by two distinct components : Phase estimation error and estimated magnitude. In particular, the convergence of the Filtered-X LMS algorithm is shown to be strongly affected by the accuracy of the phase response estimate. Simulation results of the algorithm are presented which support the theoretical convergence analysis.

Keywords

References

  1. U.S. Pat..No 4,473,906 Active acoustic attenuator G.E.Wanaka;L.A.Poole;J.Tichy
  2. Proc.Inter-Noise '88 The active control of engine noise inside cars S.J.Elliott;I.M.Stothers;P.A.Nelson(et al)
  3. Journal of sound and vibration v.140 In-fight experiments on the active control of propeller-induced cabin noise S.J.Elliott;P.A.Nelson;I.M.Stothers(et al)
  4. Adaptive Signal Processing B.Widrow;S.D.Strearns
  5. IEEE Trans. on Circuits and System-Ⅱ v.46 no.2 Convergence Analysis of Narrow-Band Active Noise Control System S.M.Kuo;M.Tahernezhadi;W.Hao
  6. IEEE Trans. on Signal Processing v.47 no.4 Convergence Analysis of the Multi-Variable Filtered-x LMS Algorithm with Application to Active Noise Control A.K.Wang;W.Ren
  7. Proc. IEEE trans. ASSP-25 Adaptive noise control applied to sinusoidal noise interferences J.R.Glover
  8. Fifth Western Pacific Regional Acoustic Corference v.2 Convergence Analysis of the Filtered-x LMS Active Noise controller for a Sinusoidal Input K.S.Lee;J.C.Lee;D.H.Youn;I.W.Cha
  9. Jour. Sound and Vibration v.61 no.4 Elements of the Active Control of Transformer Noise C.F.Ross
  10. Journal of the Acoustical Society of America v.85 Use of random noise for on-line transducer modeling in an adaptive filter for use in active sound attenuation L.J.Erikkson;M.C.Allie