The discrete fractional Fourier transform

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dc.citation.epage1716en_US
dc.citation.spage1713en_US
dc.contributor.authorCandan, Çağatayen_US
dc.contributor.authorKutay, M. Alperen_US
dc.contributor.authorÖzaktaş, Haldun M.en_US
dc.coverage.spatialPhoenix, AZ, USAen_US
dc.date.accessioned2016-02-08T10:42:29Z
dc.date.available2016-02-08T10:42:29Z
dc.date.issued1999en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 15-19 March 1999en_US
dc.descriptionConference Name: 24th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1999en_US
dc.description.abstractWe propose and consolidate a definition of the discrete fractional Fourier transform which generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform (FRT) generalizes the continuous ordinary Fourier Transform. This definition is based on a particular set of eigenvectors of the DFF which constitutes the discrete counterpart of the set of Hermite-Gaussian functions. The fact that this definition satisfies all the desirable properties expected of the discrete FRT, supports our confidence that it will be accepted as the definitive definition of this transform.en_US
dc.identifier.doi10.1109/ICASSP.1999.756324en_US
dc.identifier.issn1520-6149en_US
dc.identifier.urihttp://hdl.handle.net/11693/25299
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://doi.org/10.1109/ICASSP.1999.756324en_US
dc.source.titleProceedings of the 24th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1999en_US
dc.subjectFourier transformsen_US
dc.subjectDiscrete Fourier transformsen_US
dc.subjectDiscrete transformsen_US
dc.titleThe discrete fractional Fourier transformen_US
dc.typeConference Paperen_US
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