Fractional Resonance-Based RLβCα Filters

Mathematical Problems in Engineering. 2013;2013 DOI 10.1155/2013/726721

 

Journal Homepage

Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Publishing Corporation

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: Egypt

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

Todd J. Freeborn (Department of Electrical and Computer Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB, T2N 1N4, Canada)
Brent Maundy (Department of Electrical and Computer Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB, T2N 1N4, Canada)
Ahmed Elwakil (Department of Electrical and Computer Engineering, University of Sharjah, P.O. Box 27272, Sharjah, UAE)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 26 weeks

 

Abstract | Full Text

We propose the use of a fractional order capacitor and fractional order inductor with orders 0≤α,  β≤1, respectively, in a fractional RLβCα 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.