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The Korean Institute of Electrical Engineers (대한전기학회)
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Stabilized Adaptive Fuzzy LMS Algorithms for Active Noise Control

능동소음제어를 위한 안정화된 퍼지 LMS 알고리즘

  • 안동준 (아주자동차대학 자동차계열) ;
  • 백광현 (단국대학교 공과대학 기계공학과) ;
  • 남현도 (단국대학교 공과대학 전자전기컴퓨터 공학부)
  • Received : 2010.09.27
  • Accepted : 2010.12.07
  • Published : 2011.01.01
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Abstract

In an active noise control systems, an IIR filter may cause a problem in stability beacause of its poles. For IIR filter, its poles goes sometimes out of a unit circle in a z-plane in the transition state, where the adaptive algorithm converges to the optimum value, which causes the system to diverge. Fuzzy LMS algorithm has a better convergence property than conventional LMS algorithms, but is not applicable to IIR filter because of the reasons. Stabilized adaptive algorithm could be improves stability by moving the pole of IIR filer toward the origin forcibly in the transient state, and by introducing forgetting factor to maintain the optimum convergence when it reaches to the steady state. In this paper, We proposed stabilized adaptive fuzzy LMS algorithms with IIR filter structures, for single channel active noise control with ill conditioned signal case. Computer simulations were performed to show the effectiveness of a proposed algorithm.

Keywords

References

  1. R. R Leitch and M. O. Tokhi, "Active noise control system", IEE Proc., Vol.134, Pt.A, No.6, pp.525-546, 1987.
  2. Nelson P.A. and Elliott S.J., "Active noise control: A tutorial review," Proceedings of the International Symposium on Active Control of Sound and Vibration, Tokyo, Japan, pp.45-74, April 9-11, 1991.
  3. S. M. Kuo and D. Morgan, Active Noise Control System, John Wiley and Sons. Inc, New York, 1996.
  4. Lueq P., "Process of silencing sound oscillations," US Patent 2043 416 1934.
  5. Muhammad T. and Masahide A., Masauki K., "A New Variable Step Size LMS Algorithm-Based Method for Improved Online Secondary Path Modeling in Active Noise Control Systems," IEEE Trans. on Audio, Speech and Language Processing, Vol. 14, No. 2, 720-726, 2006. https://doi.org/10.1109/TSA.2005.855829
  6. Yegui X. and Liying M., Koji H., "Properties of FXLMS-Based Narrowband Active Noise Control With Online Secondary-Path Modeling," IEEE Trans. on Signal Processing, Vol. 57, No. 8, 2931-2949, 2009. https://doi.org/10.1109/TSP.2009.2020766
  7. Cheralu M. and Teodorescu H. N., Dumitrascu C., "A fuzzy LMS algorithm," Proceeding of the international conference on Fuzzy Logic & Neural Networks, pp. 107-110, Japan, Isuka, 1990.
  8. 안동준, "능동소음제어를 위한 적응필터의 설계", 박사학위논문, 단국대학교 전기공학과, 1995.
  9. Eriksson L. J. and Allie M. C., Greiner R. A., "The selection and application of an IIR adaptive filter for use in active sound attenuation," IEEE Trans. on ASSP, ASSP-35, 433-437, 1987.
  10. Nam H. D. and Seo S. D., Yoon K. J., Ahn D. J., "Stabilized multi-channel IIR filters for active control of noise in a duct," ICSV13-Vienna, Austria, July 2-6, 2006.
  11. Feintuch P. L., "An adaptive recursive LMS filter," Proc. IEEE, 64, 1622-1624, 1976. https://doi.org/10.1109/PROC.1976.10384
  12. Friedlander B, "A modified prefilter for some recursive parameter estimation algorithms," IEEE Trans. on Automatic Control, AC-27, 232-235, 1982.
  13. Widrow B. and McCool J. M., "Comment on adaptive recursive LMS filter," Proc. IEEE, 65, 1402-1404, 1977. https://doi.org/10.1109/PROC.1977.10723
  14. Elliott S.J. and Nelson P.A., "Models for describing active noise control in ducts," ISVR Techincal Report No. 127, University of Southampton, U.K., 1984.