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FIR fuzzy equalizer design for nonlinear channels LMI-based fuzzy approach

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Abstract

In this paper an LMI based fuzzy methodology for nonlinear channel equalization from an H ∞ perspective is proposed. According to Takagi-Sugeno (T-S) fuzzy modeling concept, the discrete-time nonlinear channel can be constructed by the piecewise linear subsystems. The FIR fuzzy equalizer design for nonlinear channel is transformed into standard linear matrix inequality (LMI) optimization problem, and the coefficients of the equalizer are obtained by solving LMIs. Besides, the stability of T-S fuzzy system has been investigated based on Lyapunov approach. Finally, simulation result is given to demonstrate the effectiveness of the proposed methodology.

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Authors and Affiliations

  1. Department of Electronic Engineering, National Kaohsiung University of Applied sciences, Kaohsiung, 807, Taiwan, Republic of China

    Te-Jen Su, Sheng-Yi Lin & Gwo-Jia Jong

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  1. Te-Jen Su
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  2. Sheng-Yi Lin
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  3. Gwo-Jia Jong
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Correspondence to Te-Jen Su.

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Su, TJ., Lin, SY. & Jong, GJ. FIR fuzzy equalizer design for nonlinear channels LMI-based fuzzy approach. Electr Eng 88, 527–534 (2006). https://doi.org/10.1007/s00202-005-0309-z

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  • DOI: https://doi.org/10.1007/s00202-005-0309-z

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