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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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