Approximated Fractional Order Chebyshev Lowpass Filters

By Todd J. Freeborn, Brent J. Maundy, Ahmed S. Elwakil. 2015

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We propose the use of nonlinear least squares optimization to approximate the passband ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in the stopband. MATLAB simulations of , , and order lowpass filters with fractional steps from  = 0.1 to  = 0.9 are given as examples. SPICE simulations of 1.2, 1.5, and 1.8 order lowpass filters using approximated fractional order capacitors in a Tow-Thomas biquad circuit validate the implementation of these filter circuits.

Subfields: Biomedical Engineering, Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/b41e6ec2ddb5c12aca8a218dc618625711cccef8