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The discrete fractional Fourier transform based on the DFT matrix

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dc.contributor.authorSerbes, Ahmet
dc.contributor.authorDurak-Ata, Lutfiye
dc.date.accessioned2026-06-27T13:13:42Z
dc.date.issued2011
dc.description.abstractWe introduce a new discrete fractional Fourier transform (DFrFT) based on only the DFT matrix and its powers. Eigenvectors of the DFT matrix are obtained in a simple-yet-elegant and straightforward manner. We show that this DFrFT definition based on the eigentransforms of the DFT matrix mimics the properties of continuous fractional Fourier transform (FrFT) by approximating the samples of the continuous FrFT. By appropriately combining existing commuting matrices we obtain a new commuting matrix which performs better. We show the validity of the proposed algorithms by computer simulations comparing DFrFT points and continuous FrFT samples for various signals. (C) 2010 Elsevier B.V. All rights reserved.en
dc.description.urihttps://doi.org/10.1016/j.sigpro.2010.05.007
dc.identifier.doi10.1016/j.sigpro.2010.05.007
dc.identifier.endpage581
dc.identifier.issn0165-1684
dc.identifier.issue3
dc.identifier.startpage571
dc.identifier.urihttps://hdl.handle.net/20.500.14981/50764
dc.identifier.volume91
dc.identifier.wos000288038800022
dc.language.isoeng
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofSIGNAL PROCESSING
dc.subjectDiscrete fractional Fourier transform
dc.subjectDFT matrix
dc.subjectHermite-Gauss functions
dc.subjectEigentransform matrices
dc.subjectRotation property
dc.subjectEIGENVECTORS
dc.subjectEngineering
dc.titleThe discrete fractional Fourier transform based on the DFT matrix
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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