Design of IIR digital fractional-order differ-integrators using closed-form discretization

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Abstract

This paper introduces a new design method of fractional-order IIR digital differentiators (FODD) and integrators (FODI) using a closed-form discretization technique. Unlike the direct or the indirect discretization methods that uses CFE to generate a digital differential or integral operators, which sometimes yield an unstable non-minimum phase digital filter, the proposed approach always yields a minimum phase stable rational z-transfer functions for both FODDs and FODIs. The significance of the proposed method lies in the simplicity of the design, which only depends on the fractional-order differentiator or the integrator. The main points of this work are illustrated via numerical examples.

Original languageBritish English
Title of host publicationIEEE 58th International Midwest Symposium on Circuits and Systems
Subtitle of host publicationClimbing to New Heights, MWSCAS 2015 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467365574
DOIs
StatePublished - 28 Sep 2015
Event58th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2015 - Fort Collins, United States
Duration: 2 Aug 20155 Aug 2015

Publication series

NameMidwest Symposium on Circuits and Systems
Volume2015-September
ISSN (Print)1548-3746

Conference

Conference58th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2015
Country/TerritoryUnited States
CityFort Collins
Period2/08/155/08/15

Keywords

  • digital filters
  • fractional calculus
  • fractional-order differentiator
  • fractional-order integrator
  • IIR filters

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