Research on the Least Mean Square Algorithm Based on Equivalent Wiener-Hopf Equation 


Vol. 33,  No. 5, pp. 403-412, May  2008


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  Abstract

This paper presents the methods which obtain the solution of Wiener-Hopf equation by LMS algorithm and get the coefficient of TDL filter in lattice filter directly. For this result, we apply an orthogonal input signal generated by lattice filter into an equivalent Wiener-Hopf equation and shows the scheme that can obtain the solution by using the MMSE algorithm. Conventionally, the method like aforementioned scheme can get an error and regression coefficient recursively. However, in this paper, we can obtain an error and the coefficients of TDL filter recursively. And, we make an theoretical analysis on the convergence characteristics of the proposed algorithm. Then we can see that the result is similar to conventional analysis. Also, by computer simulation, we can make sure that the proposed algorithm has an excellent performance.

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  Cite this article

[IEEE Style]

B. Ahn, J. Hwang, J. Cho, "Research on the Least Mean Square Algorithm Based on Equivalent Wiener-Hopf Equation," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 5, pp. 403-412, 2008. DOI: .

[ACM Style]

Bong-Man Ahn, JeeWon Hwang, and Juphil Cho. 2008. Research on the Least Mean Square Algorithm Based on Equivalent Wiener-Hopf Equation. The Journal of Korean Institute of Communications and Information Sciences, 33, 5, (2008), 403-412. DOI: .

[KICS Style]

Bong-Man Ahn, JeeWon Hwang, Juphil Cho, "Research on the Least Mean Square Algorithm Based on Equivalent Wiener-Hopf Equation," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 5, pp. 403-412, 5. 2008.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880