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Approximated Fractional Order Chebyshev Lowpass Filters

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  • Todd Freeborn
  • Brent Maundy
  • Ahmed S. Elwakil

Abstract

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.

Suggested Citation

  • Todd Freeborn & Brent Maundy & Ahmed S. Elwakil, 2015. "Approximated Fractional Order Chebyshev Lowpass Filters," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, March.
    • Handle: RePEc:hin:jnlmpe:832468
    DOI: 10.1155/2015/832468
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