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http://dx.doi.org/10.7236/JIWIT.2011.11.4.245

Wiener-Hopf Equation with Robustness to Application System  

Cho, Ju-Phil (군산대학교 전파공학과)
Lee, Il-Kyu (공주대학교 전기전자제어공학부)
Cha, Jae-Sang (서울과학기술대학교 매체공학과)
Publication Information
The Journal of the Institute of Internet, Broadcasting and Communication / v.11, no.4, 2011 , pp. 245-249 More about this Journal
Abstract
In this paper, we propose an equivalent Wiener-Hopf equation. The proposed algorithm can obtain the weight vector of a TDL(tapped-delay-line) filter and the error simultaneously if the inputs are orthogonal to each other. The equivalent Wiener-Hopf equation was analyzed theoretically based on the MMSE(minimum mean square error) method. The results present that the proposed algorithm is equivalent to original Wiener-Hopf equation. In conclusion, our method can find the coefficient of the TDL (tapped-delay-line) filter where a lattice filter is used, and also when the process of Gram-Schmidt orthogonalization is used. Furthermore, a new cost function is suggested which may facilitate research in the adaptive signal processing area.
Keywords
Wiener-Hopf equation; equivalent Wiener-Hopf equation; MMSE; Gram-Schmidt orthogonalization;
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  • Reference
1 Haykin, Adaptive Filter Theory-Fourth Edition, PrenticeHall.
2 J. G. Proakis, C. M. Rader, F. Ling and C. L. Nikias, Advanced Digital Signal Processing. Macmillan Publishing Company,1992.
3 P. S. R. Diniz, Adaptive Filtering -Algorithms and Practical Implementation, second edition. Kluwer Academic Publishers, 2002.
4 H. K. Baik, V. J. Mathews, "Adaptive lattice bilinear filters," IEEE Trans. on Signal Processing, vol.41, pp.2033-2046, June1993.   DOI   ScienceOn
5 J. Makhoul. "A Class of ALL-Zero Lattice Digital Filters: Properties" IEEE Trans. Acoustics, Speech, and Signal Processing, vol. ASSP-26, pp.304-314, Aug. 1978.
6 E. Karlsson, M. Hayes, "Least squares ARMA modeling of linear time-varying systems: Lattice filter structures and fast RLS algorithms," IEEE Trans. Acoustics, Speech, and Signal Processing, vol.ASSP-35, NO.7, pp.994-1014, July1987.
7 L. Fuyun, J. Proakis, "A generalized multichannel least squares lattice algorithm based on sequential processing stages," IEEE Trans. on Signal Processing, vol.32, pp.381-389, Apr.1984.   DOI