Approximated Fractional Order Chebyshev Lowpass Filters

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2015-03-26

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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.

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Todd Freeborn, Brent Maundy, and Ahmed S. Elwakil, “Approximated Fractional Order Chebyshev Lowpass Filters,” Mathematical Problems in Engineering, vol. 2015, Article ID 832468, 7 pages, 2015. doi:10.1155/2015/832468

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http://hdl.handle.net/1880/108159
 https://doi.org/10.11575/PRISM/45059

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