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A Fuzzy Gravitational Search Algorithm to Design Optimal IIR Filters

Author

Listed:
  • Danilo Pelusi

    (Faculty of Communication Sciences, University of Teramo, 64100 Teramo, Italy)

  • Raffaele Mascella

    (Faculty of Communication Sciences, University of Teramo, 64100 Teramo, Italy)

  • Luca Tallini

    (Faculty of Communication Sciences, University of Teramo, 64100 Teramo, Italy)

Abstract

The goodness of Infinite Impulse Response (IIR) digital filters design depends on pass band ripple, stop band ripple and transition band values. The main problem is defining a suitable error fitness function that depends on these parameters. This fitness function can be optimized by search algorithms such as evolutionary algorithms. This paper proposes an intelligent algorithm for the design of optimal 8th order IIR filters. The main contribution is the design of Fuzzy Inference Systems able to tune key parameters of a revisited version of the Gravitational Search Algorithm (GSA). In this way, a Fuzzy Gravitational Search Algorithm (FGSA) is designed. The optimization performances of FGSA are compared with those of Differential Evolution (DE) and GSA. The results show that FGSA is the algorithm that gives the best compromise between goodness, robustness and convergence rate for the design of 8th order IIR filters. Moreover, FGSA assures a good stability of the designed filters.

Suggested Citation

  • Danilo Pelusi & Raffaele Mascella & Luca Tallini, 2018. "A Fuzzy Gravitational Search Algorithm to Design Optimal IIR Filters," Energies, MDPI, vol. 11(4), pages 1-18, March.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:4:p:736-:d:137811
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