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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Least mean absolute third (LMAT) adaptive algorithm:part I. mean and mean-squared convergence properties

최소평균절대값삼승 (LMAT) 적응 알고리즘: Part I. 평균 및 평균자승 수렴특성

  • 김상덕 (한양대학교 전자공학과) ;
  • 김성수 (한양대학교 전자공학과) ;
  • 조성호 (한양대학교 전자공학과)
  • Published : 1997.10.01
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Abstract

This paper presents a convergence analysis of the stocastic gradient adaptive algorithm based on the least mean absolute third (LMAT) error criteriohn. Under the assumption that the signals involved are zero-mean, wide-sense sateionaryand gaussian, a set of nonlinear difference equations that characterizes the mean and mean-squared behavior of the algorithm is derived. Computer simulation resutls show fairly good agreements between the theoetical and empirical behaviors of the algorithm.

본 논문에서는 고차통계에 의한 적응알고리즘 가운데 오차의 평균절대값삼승(LMAT)을 최소화하는 알고리즘의 수렴특성에 대하여 분석하였다. 사용된 입력신호가 Gaussian 분포를 갖는다는 가정하에 알고리즘의 평균자승 추정오차와 필터계수의 평균 및 평균자승 특성에 대해 정량적인 분석을 수행하였으며, 이에 대한 관계식을 각각 유도하였다. 이론적으로 분석된 결과는 컴퓨터 모의실험에 의하여 그 타당성을 검증하였고, 이론치와 실험치가 거의 일치함을 확인하였다.

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References

  1. Proc. of IEEE v.63 no.12 Adaptive Noise Cancelling : Principles and Applications B. Widrow(et al.)
  2. IEEE Trans. on Acous., Speech, and Sig. Proc. v.ASSP-38 no.12 Tracking Analysis of the Sign Algorithm in Nonstationary Environments S.H. Cho;V.J. Mathews
  3. IEEE Trans. on Inform. Theory v.30 The Least Mean Fourth (LMF) Adaptive Algorithm and Its Family E. Walach;B. Widrow
  4. IEEE Trans. on Signal Proc. v.42 Stochastic Gradient Adaptation Under General Error Criteria S.C. Douglas;T. Meng
  5. IEEE Jour. on elected Areas in Communi. v.12 Least Mean P-Power Error Criterion for Adaptive FIR Filter S. Pei;C. Tseng
  6. Bell Sys. Tech. J. v.58 On the Independence Theory of Equalizer Convergence J.E. Mazo
  7. IEEE Trans. on Acoust., Speech., and Sig. Proc. v.ASSP-33 no.4 Efficient Methods to Estimate Correlation Functions of Gaussian Processes and Their Performance Analysis T. Koh;E.J. Powers
  8. IEEE Trans. on Acoust., Speech, and Sig. Proc. v.ASSP-35 no.4 Improved Convergence Analysis of the Stochastics Gradient Adaptive Filters Using the Sign Algorithm V. J. Mathews;S. H. Cho