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梯度向量正交的相關(guān)函數(shù)自適應(yīng)濾波算法

高鷹,  謝勝利

高鷹, 謝勝利. 梯度向量正交的相關(guān)函數(shù)自適應(yīng)濾波算法[J]. 電子與信息學(xué)報(bào), 2004, 26(2): 318-321.
引用本文: 高鷹, 謝勝利. 梯度向量正交的相關(guān)函數(shù)自適應(yīng)濾波算法[J]. 電子與信息學(xué)報(bào), 2004, 26(2): 318-321.
Gao Ying, Xie Sheng-li. Gradient Vectors Orthogonalization Based Adaptive Filtering Algorithm for Correlation Function[J]. Journal of Electronics & Information Technology, 2004, 26(2): 318-321.
Citation: Gao Ying, Xie Sheng-li. Gradient Vectors Orthogonalization Based Adaptive Filtering Algorithm for Correlation Function[J]. Journal of Electronics & Information Technology, 2004, 26(2): 318-321.

梯度向量正交的相關(guān)函數(shù)自適應(yīng)濾波算法

Gradient Vectors Orthogonalization Based Adaptive Filtering Algorithm for Correlation Function

  • 摘要: 該文把Asharif(1999)定義的相關(guān)函數(shù)均方誤差(MSE)準(zhǔn)則Jr(n)=E「eT(n)Ce(n)」改為時(shí)變的遺忘因子指數(shù)加權(quán)最小二乘誤差(LSE)準(zhǔn)則Jr(n)=nt=0 n-teT(n)Ce(n),對(duì)這一準(zhǔn)則利用梯度法,使當(dāng)前時(shí)刻的梯度向量正交于前一時(shí)刻的梯度向量而得到一種新的相關(guān)函數(shù)自適應(yīng)濾波算法.計(jì)算機(jī)仿真結(jié)果表明新算法的收斂性能優(yōu)于Asharif提出的ECLMS算法.
    Abstract: In this paper, the time varying forgetting factor exponentially weighted least square error criterion Jr(n)=nt=0 n-teT(n)Ce(n),is proposed by reducing the correlation function mean square error criterion Jr(n) = E[eT(n)Ce(n)] proposed by Asharif(1999). Applying gradient method on the proposed criterion, a new adaptive filtering algorithm for correlation function is proposed by orthogonalizing the current gradient vector to the previous gradient vector. Computer simulation results indicate that the proposed algorithms convergence performance is better than that of ECLMS algorithm proposed by Asharif.
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  • Haykin S. Adaptive Filtering Theory. Third edition, Englewood Cliffs, New Jersey: Prentice-Hall Inc., 1996, 56-59.[2]Benesty J, Morgan D R, Cho J H. A new class of doubletalk detectors based on cross-correlation.IEEE Trans. on Speech and Audio Processing, 2000, 8(2): 162-172.[3]Asharif M R, Hayashi T, Yamashita K. Correlation LMS algorithm and its application to doubletalk echo canceling. Electronics Letters., 1999, 41(3): 194-195.[4]Asharif M R, Rezapour A, Ochi H. Correlation LMS algorithm for double-talk echo canceller. In the Proc. of IEICE National Conference, Japan, March 1998, A-4-13: 122-124.[5]Asharif M R, Hayashi T. Correlation LMS for double-talk echo canceling. Proc. of the IASTED International Conference, Modelling and Simulation(MS99), Philadelphia, PA(Cherry Hill, New Jersey) USA, May 1999: 249-253.[6]高鷹,謝勝利.基于相關(guān)函數(shù)的遞推最小二乘算法及其在回波消除中的應(yīng)用.通信學(xué)報(bào),2002,23(9):114-119.[7]Asharif M R. Atsushi Shimabukuro, Takahiro Hayashi, Katsumi Yamashita[J].Expanded CLMS algorithm for double-talk echo cancelling. System, Man and Cybernetics, 1999, IEEE SMC99 Conference Proc. Tokyo.1999, vol.1:998-1002[8]Luenberger D G. Linear and Nonlinear Programming. MA: Addison-Wesley, 1984: Chapter 2.
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出版歷程
  • 收稿日期:  2002-11-09
  • 修回日期:  2003-01-28
  • 刊出日期:  2004-02-19

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