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

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

A Study On ECLMS Using Estimated Correlation

추정상관을 이용한 ECLMS에 관한 연구

  • 오신범 (대구대학교 정보통신공학부 디지털신호처리 연구실) ;
  • 권순용 (대구대학교 정보통신공학부 디지털신호처리 연구실) ;
  • 이채욱 (대구대학교 정보통신공학부 디지털신호처리 연구실)
  • Published : 2002.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

Although least mean square(LMS) algorithm is known to one of the most popular algorithm in adaptive signal processing because of the simplicity and the small computation, the choice of the step size reflects a tradeoff between the misadjustment and the speed of adaptation. In this paper, we present a new variable step size LMS algorithm, so-called ECLMS(Estimated correlation LMS), using the correlation between reference input and error signal of adaptive filter. The proposed algorithm updates each weight of filter by different step size at same sample time. We applied this algorithm to adaptive multiple-notch filter. Simulation results are presented to compare the performance of the proposed algorithm with the usual LMS algorithm and another variable step algorithm.

적응신호처리 분야에서 LMS 알고리듬은 수식이 간단하고, 적은 계산량으로 인해 널리 사용되고 있지만, 알고리듬 성능을 좌우하는 고정된 적응상수를 적절하게 선택해야 하는 문제점이 있다. 이러한 문제점을 해결하기 위하여 본 논문에서는 적응필터의 참조입력과 에러신호사이의 추정상관을 이용, 매 샘플시간마다 다른 값을 가지는 상관추정 가변스텝사이즈(ECLMS) 알고리듬을 제안한다. 제안한 알고리즘을 적응 다중 노치필터에 적용하여 컴퓨터 시뮬레이션을 통해 LMS알고리듬과 기존의 가변스텝 사이즈와 비교하여 그 성능이 우수함을 입증한다.

Keywords

References

  1. Victor DeBrunner and Sebastian Torres, 'Multiple Fully Adaptive Notch Filter Design Based on Allpass Sections', IEEE Transactions on Signal Processing, VOL. 48, NO. 2, pp. 550-552, Feb. 2000 https://doi.org/10.1109/78.823981
  2. Y. V. Joshi and S. C. Dutta Roy, 'Design of IIR Multiple Notch Filters', International Journal of Circuit Theory and Applications, 26, pp. 499-507, 1998 https://doi.org/10.1002/(SICI)1097-007X(199809/10)26:5<499::AID-CTA32>3.0.CO;2-R
  3. Sebastian Torres and Victor DeBrunner, 'An Adaptive, High-Order, Notch Filter Using All Pass Sections', Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, VOL, 3, May 1998
  4. Bernard Widrow, John R. Glover, and John M. McCool 외 6명, 'Adaptive Noise Cancelling: Principles and Application,' Proceeding of the IEEE, VOL. 63, NO. 12, pp. 1692-1716, Dec, 1975
  5. William A. Harrison, Jae S, Lim and Elliot Singer, 'A New Application of Adaptive Noise Cancellation', IEEE Transaction on Acoustics, Speech and Signal Processing, VOL. ASSP-34, pp. 21-27, Feb. 1986 https://doi.org/10.1109/TASSP.1986.1164777
  6. Bernard Widrow and Samuel D. Stearns, Adaptive Signal Processing, Prentice Hall, 1985
  7. Joseph B. Evans, Ping Xue, Bede Liu, 'Analysis and Implementation of Variable Step Size Adaptive Algorithms', IEEE Transactions on Signal Processing, VOL. 41, NO. 8, August 1993
  8. Raymond H. Kwong. and Edward W Johnson, 'A Variable Step Size LMS Algorithm,' IEEE Transactions on Signal Processing, VOL. 40 NO. 7, July 1992