Fractional Resonance-Based RL_βC_α Filters

Todd J. Freeborn; Brent Maundy; Ahmed Elwakil

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Fractional Resonance-Based RL_βC_α Filters

机译：基于分数共振的RL_βC_α滤波器

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We propose the use of a fractional order capacitor and fractional order inductor with orders 0 ≤ α, β≤ 1, respectively, in a fractional RL_βC_α series circuit to realize fractional-step lowpass, highpass, bandpass, and bandreject filters. MATLAB simulations of lowpass and highpass responses having orders of (α+β) = 1.1,1.5, 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.

机译：我们建议在分数RL_βC_α串联电路中分别使用阶数为0≤α，β≤1的分数阶电容器和分数阶电感器，以实现分数阶低通，高通，带通和带阻滤波器。给出了（α+β）= 1.1、1.5和1.9阶的低通和高通响应以及1.5和1.9阶的带通和带阻响应的MATLAB仿真。使用近似分数阶电容器和分数阶电感器的1.1、1.5和1.9级低通滤波器以及1.0和1.4级带阻滤波器的PSPICE仿真验证了实现。

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《Mathematical Problems in Engineering》 |2013年第1期|726721.1-726721.10|共10页
作者
Todd J. Freeborn; Brent Maundy; Ahmed Elwakil;
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Department of Electrical and Computer Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada T2N 1N4;

Department of Electrical and Computer Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada T2N 1N4;

Department of Electrical and Computer Engineering, University of Sharjah, P.O. Box 27272, Sharjah, UAE;

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Fractional Resonance-Based RL_βC_α Filters

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