The discrete fractional Fourier transform

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage1337en_US
dc.citation.issueNumber5en_US
dc.citation.spage1329en_US
dc.citation.volumeNumber48en_US
dc.contributor.authorCandan, C.
dc.contributor.authorKutay, M. A.
dc.contributor.authorÖzaktaş, Haldun M.
dc.date.accessioned2015-07-28T11:56:56Z
dc.date.available2015-07-28T11:56:56Z
dc.date.issued2000-05en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform. This definition is based on a particular set of eigenvectors of the DFT matrix, which constitutes the discrete counterpart of the set of Hermite–Gaussian functions. The definition is exactly unitary, index additive, and reduces to the DFT for unit order. The fact that this definition satisfies all the desirable properties expected of the discrete fractional Fourier transform supports our confidence that it will be accepted as the definitive definition of this transform.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T11:56:56Z (GMT). No. of bitstreams: 1 10.1109-78.839980.pdf: 245516 bytes, checksum: fb29ba9505a1b8b14a3a2c20f7ed16fe (MD5)en
dc.identifier.doi10.1109/78.839980en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/11130
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/78.839980en_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.subjectChirpletsen_US
dc.subjectDiscrete Wigner Distributionsen_US
dc.subjectHermite–gaussian functionsen_US
dc.subjectTime–frequency Analysisen_US
dc.titleThe discrete fractional Fourier transformen_US
dc.typeArticleen_US

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