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Freeborn, Todd J.; Maundy, Brent; Elwakil, Ahmed

Fractional resonance-based \(RL_{\beta}C_{\alpha}\) filters. (English) Zbl 1299.94121

Math. Probl. Eng. 2013, Article ID 726721, 10 p. (2013).
Summary: We propose the use of a fractional order capacitor and fractional order inductor with orders \(0\leq \alpha,\beta\leq 1\), respectively, in a fractional \(RL_{\beta}C_{\alpha}\) series circuit to realize fractional-step lowpass, highpass, bandpass, and bandreject filters. MATLAB simulations of lowpass and highpass responses having orders of \(\alpha+\beta=1.5\) and \(1.9\) and bandpass and bandreject responses having orders of 1.5 and 1.9 are given as examples. PSPICE simulations of 1.1, 1.5, and 1.9 order lowpass and 1.0 and 1.4 order bandreject filters using approximated fractional order capacitors and fractional order inductors verify the implementations.

Cited in 6 Documents

MSC:

94C05 Analytic circuit theory
94A12 Signal theory (characterization, reconstruction, filtering, etc.)

Keywords:

PSPICE; MATLAB

Software:

Matlab
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Full Text: DOI

References:

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