Fractional resonance-based \(RL_{\beta}C_{\alpha}\) filters
type: Item
instance of: scholarly article
title: Fractional resonance-based \(RL_{\beta}C_{\alpha}\) filters
zbMATH Open document ID: 1299.94121
DOI: 10.1155/2013/726721
author: Todd J. Freeborn
author: Brent Maundy
author: A. S. Elwakil
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6373004
zbMATH Keywords: PSPICE
zbMATH Keywords: MATLAB
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/726721
OpenAlex ID: W2042598815
Wikidata QID: Q59028657
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description: scientific article; zbMATH DE number 6373004