Gradient Vectors Orthogonalization Based Adaptive Filtering Algorithm for Correlation Function

Gao Ying; Xie Sheng-li

Volume 26 Issue 2

Feb. 2004

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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.

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.

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Gradient Vectors Orthogonalization Based Adaptive Filtering Algorithm for Correlation Function

Gao Ying^{①②;谢胜利},
Xie Sheng-li

Received Date: 2002-11-09
Rev Recd Date: 2003-01-28
Publish Date: 2004-02-19

Abstract

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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References(1)

References

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]高鹰,谢胜利.基于相关函数的递推最小二乘算法及其在回波消除中的应用.通信学报,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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