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The analysis of the discrete fractional Fourier transform algorithms

  • Qi Wen Ran*
  • , Hai Ying Zhang
  • , Zhong Zhao Zhang
  • , Xue Jun Sha
  • *Corresponding author for this work
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The discrete formal FRFT is difficult to obtained by the directly sampling the continuous FRFT because the kernel function of the continuous fractional Fourier transform (FRFT) exhibits drastic oscillation and the oscillation amplitude has the distinct difference from the different order of the FRFT. Discrete FRFT has been intensively investigated recently and many definitions of the discrete FRFT have emerged. Firstly, the multiplicity of discrete FRFT is presented and the discrete FRFT are classified in term of its definition mode. Some of discrete FRFT are demonstrated which kind of the continuous FRFT they correspond to. Secondly, the problem of the discrete FRFT is analyzed and digital simulations are presented to verify the conclusion.

Original languageEnglish
Title of host publication2009 Canadian Conference on Electrical and Computer Engineering, CCECE '09
Pages979-982
Number of pages4
DOIs
StatePublished - 2009
Event2009 Canadian Conference on Electrical and Computer Engineering, CCECE '09 - St. Johns, NL, Canada
Duration: 3 May 20096 May 2009

Publication series

NameCanadian Conference on Electrical and Computer Engineering
ISSN (Print)0840-7789

Conference

Conference2009 Canadian Conference on Electrical and Computer Engineering, CCECE '09
Country/TerritoryCanada
CitySt. Johns, NL
Period3/05/096/05/09

Keywords

  • Discrete fractional Fourier transform
  • Fractional Fourier transform

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