Fractional Step Analog Filter Design

Using the fractional Laplacian operator, sα, this chapter outlines the process to design, analyze, and implement continuous-time fractional-step lowpass, highpass, and bandpass filters of order, where is the fractional-step between the integer orders with value 0 < α < 1

Todd Freeborn; Brent Maundy; Ahmed Elwakil

2013

Scholarcy highlights

  • Using the fractional Laplacian operator, sα, this chapter outlines the process to design, analyze, and implement continuous-time fractional-step lowpass, highpass, and bandpass filters of order, where is the fractional-step between the integer orders with value 0 < α < 1
  • The design process, stability analysis, PSPICE simulations, and physical realization of these filters are presented based on minimumphase error approximations of the operator sα
  • Four methods of implementation, using fractional capacitors in the Tow-Thomas biquad, Single Amplifier Biquads, Field Programmable Analog Array hardware and Frequency Dependent Negative Resistor topologies to realize decomposed transfer functions are demonstrated

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