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Procedure for Designing Fractional-Order Filters

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Design of CMOS Analog Integrated Fractional-Order Circuits

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSELECTRIC))

Abstract

This chapter presents a systematic procedure for designing fractional-order transfer functions. Fractional-order differentiator, lossless and lossy integrator of order α, and fractional-order filters of any type (i.e., low-pass, high-pass, band-pass, band-stop) of order 1 + α, α + β, and n + α, where n is the integer-order and corresponds to values n ≥ 2, and α is the order of the fractional part (0 < α < 1), are realized by the same core, and therefore this is very important from the flexibility point of view. Functional block diagrams in case of using a voltage-mode or a current - mode technique are presented, while the second-order of CFE is utilized in order to approximate the variable s α.

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Authors and Affiliations

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

    Georgia Tsirimokou & Costas Psychalinos

  2. Department of Electrical and Computer Engineering, University of Sharjah, Sharjah, United Arab Emirates

    Ahmed Elwakil

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

    Ahmed Elwakil

Authors
  1. Georgia Tsirimokou
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  2. Costas Psychalinos
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  3. Ahmed Elwakil
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Tsirimokou, G., Psychalinos, C., Elwakil, A. (2017). Procedure for Designing Fractional-Order Filters. In: Design of CMOS Analog Integrated Fractional-Order Circuits. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-55633-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-55633-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55632-1

  • Online ISBN: 978-3-319-55633-8

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