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Double Exponent Fractional-Order Filters: Approximation Methods and Realization

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Abstract

The main goal of this work is to exploit different tools in order to approximate a general double exponent fractional-order transfer function. Through the appropriate selection of the two fractional orders of this function, different types of filters can be derived. The investigated approximation tools are either curve fitting based tools or the Padé approximation tool, and the derived approximated transfer functions in all cases have the form of rational integer-order polynomials, which can be easily realized electronically.

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Authors and Affiliations

  1. Electronics Laboratory, Physics Department, University of Patras, 26504, Rio Patras, GR, Greece

    Stavroula Kapoulea & Costas Psychalinos

  2. Department of Electrical and Computer Engineering, University of Sharjah, P. O. Box 27272, Sharjah, United Arab Emirates

    Ahmed S. Elwakil

  3. Nanoelectronics Integrated Systems Center (NISC), Nile University, Giza, Egypt

    Ahmed S. Elwakil

  4. Department of Electrical and Computer Engineering, University of Calgary, Alberta, Canada

    Ahmed S. Elwakil

Authors
  1. Stavroula Kapoulea
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  2. Costas Psychalinos
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  3. Ahmed S. Elwakil
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Corresponding author

Correspondence to Costas Psychalinos.

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This research is co-financed by Greece and the European Union (European Social Fund-ESF) through the Operational Programme “Human Resources Development, Education and Lifelong Learning” in the context of the project “Strengthening Human Resources Research Potential via Doctorate Research-2nd Cycle” (MIS-5000432), implemented by the State Scholarships Foundation (IKY).

This article is based upon work from COST Action CA15225, a network supported by COST (European Cooperation in Science and Technology.

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Kapoulea, S., Psychalinos, C. & Elwakil, A.S. Double Exponent Fractional-Order Filters: Approximation Methods and Realization. Circuits Syst Signal Process 40, 993–1004 (2021). https://doi.org/10.1007/s00034-020-01514-7

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  • DOI: https://doi.org/10.1007/s00034-020-01514-7

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