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Approximated Fractional-Order Inverse Chebyshev Lowpass Filters

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Abstract

In this paper we use a least-squares fitting routine to approximate the stopband ripple characteristics of fractional-order inverse Chebyshev lowpass filters which have fractional-order zeros and poles. MATLAB simulations of \((1+\alpha )\)-order lowpass filters with fractional steps from \(\alpha =0.1\) to \(\alpha =0.9\) are given as examples. SPICE simulations of 1.2-, 1.5-, and 1.8-order lowpass filters and experimental results of a 1.5-order filter using approximated fractional-order capacitors in a Multiple-Input Biquad circuit validate the implementation of these circuits.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Alabama, Tuscaloosa, USA

    Todd J. Freeborn

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

    Ahmed S. Elwakil

  3. Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada

    Brent Maundy

Authors
  1. Todd J. Freeborn
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  2. Ahmed S. Elwakil
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  3. Brent Maundy
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Correspondence to Ahmed S. Elwakil.

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Freeborn, T.J., Elwakil, A.S. & Maundy, B. Approximated Fractional-Order Inverse Chebyshev Lowpass Filters. Circuits Syst Signal Process 35, 1973–1982 (2016). https://doi.org/10.1007/s00034-015-0222-2

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  • DOI: https://doi.org/10.1007/s00034-015-0222-2

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