Abstract
A new approach in fuzzy adaptive filtering is presented in this paper. The proposed fuzzy filter is constructed from a set of fuzzy IF-THEN rules. Based on the observations of input signal and a collection of desired response, the filter parameters are updated by the Lyapunov sense fuzzy rules so that the error can asymptotically converge to zero. This scheme is the extension of the idea of Lyapunov theory-based adaptive filtering (LAF), thus it possesses the properties of the LAF and fuzzy logic. The stability is guaranteed by the Lyapunov theory. The design is independent of the signals’ stochastic properties. The effectiveness and robustness of the proposed filter are demonstrated in the simulation examples to support the theoretical analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. Widrow and S.D. Stearns. Adaptive Signal Processing, Englewood Cliffs, NJ: Prentice-Hall, 1985.
Chin-Teng Lin and Chia-Feng Juang, “An Adaptive Neural Fuzzy Filter and Its Applications”, IEEE Trans. on System, Man and Cybernetics, Vol 27, No 4, pp. 635–656, 1997.
I.Pitas and A.N. Venetsanopoulus, “Nonlinear digital filters, principles and applications ”, Boston: Kluwer Academic Publishers, 1990
Li-Xin Wang and Jerry M. Mende, “Fuzzy Adaptive Filters, with Application to Nonlinear Channel Equalization”, IEEE Trans. on Fuzzy System, Vol 1, No. 3, pp. 161–169, 1993
Li-Xin Wang and Jerry M. Mendel, “Fuzzy Basis Functions, Universal Approximation, and Orthogonal Least Squares Learning,”, IEEE Trans. on Fuzzy System, Vol. 3, No 5, pp. 807–814, 1992.
K. Y. Lee, “A Fuzzy Adaptive Decision Feedback Equalizer”, IEE Electron. Lett., Vol. 30, No. 10, pp. 749–751, 1994.
Von Altrock, C. Fuzzy Logic and Neurofuzzy Applications Explained, Prentice-Hall, 1995
S. Haykin, Adaptive filter theory. Englewood Cliffs, NJ: Prentice-Hall, 1985.
Man ZhiHong, H.R.Wu, W.Lai and Thong Nguyen, “Design of Adaptive Filters Using Lyapunov Stability Theory”, The 6th IEEE International Workshop on Intelligent Signal Processing and Communication Systems, vol, pp. 304–308, 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhihong, M., Phooi, S.K., Wu, H.R. (2002). Designing a Fuzzy Gain Lyapunov Adaptive Filter Algorithm. In: Dimitrov, V., Korotkich, V. (eds) Fuzzy Logic. Studies in Fuzziness and Soft Computing, vol 81. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1806-2_24
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1806-2_24
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2496-4
Online ISBN: 978-3-7908-1806-2
eBook Packages: Springer Book Archive