Interpolating between periodicity and discreteness through the fractional Fourier transform

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dc.citation.epage4243en_US
dc.citation.issueNumber11en_US
dc.citation.spage4233en_US
dc.citation.volumeNumber54en_US
dc.contributor.authorÖzaktaş, H. M.en_US
dc.contributor.authorSümbül, U.en_US
dc.date.accessioned2016-02-08T10:17:16Z
dc.date.available2016-02-08T10:17:16Z
dc.date.issued2006en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractPeriodicity and discreteness are Fourier duals in the same sense as operators such as coordinate multiplication and differentiation, and translation and phase shift. The fractional Fourier transform allows interpolation between such operators which gradually evolve from one member of the dual pair to the other as the fractional order goes from zero to one. Here, we similarly discuss the interpolation between the dual properties of periodicity and discreteness, showing how one evolves into the other as the order goes from zero to one. We also discuss the concepts of partial discreteness and partial periodicity and relate them to fractional discreteness and periodicity. © 2006 IEEE.en_US
dc.identifier.doi10.1109/TSP.2006.880224en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/23670
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TSP.2006.880224en_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.subjectChirp functionsen_US
dc.subjectDiscrete functionsen_US
dc.subjectFractional Fourier transformen_US
dc.subjectPeriodic functionsen_US
dc.subjectSamplingen_US
dc.subjectDiscrete time control systemsen_US
dc.subjectFourier transformsen_US
dc.subjectInterpolationen_US
dc.subjectMathematical operatorsen_US
dc.subjectTime varying systemsen_US
dc.subjectSignal processingen_US
dc.titleInterpolating between periodicity and discreteness through the fractional Fourier transformen_US
dc.typeArticleen_US

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