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dc.contributor.authorDurak, L.en_US
dc.contributor.authorÖzdemir, A. K.en_US
dc.contributor.authorArıkan, Orhanen_US
dc.contributor.authorSong, I.en_US
dc.coverage.spatialAntalya, Turkey
dc.date.accessioned2016-02-08T11:50:35Z
dc.date.available2016-02-08T11:50:35Z
dc.date.issued2005-09en_US
dc.identifier.urihttp://hdl.handle.net/11693/27321
dc.descriptionDate of Conference: 4-8 Sept. 2005
dc.descriptionConference name: 13th European Signal Processing Conference, 2005
dc.description.abstractThe 2-D signal representations of variables rather than time and frequency have been proposed based on either Hermitian or unitary operators. As an alternative to the theoretical derivations based on operators, we propose a joint fractional domain signal representation (JFSR) based on an intuitive understanding from a time-frequency distribution constructing a 2-D function which designates the joint time and frequency content of signals. The JFSR of a signal is so designed that its projections on to the defining joint fractional Fourier domains give the modulus square of the fractional Fourier transform of the signal at the corresponding orders. We derive properties of the JFSR including its relations to quadratic time-frequency representations and fractional Fourier transformations. We present a fast algorithm to compute radial slices of the JFSR.en_US
dc.language.isoEnglishen_US
dc.source.title13th European Signal Processing Conference, EUSIPCO 2005en_US
dc.relation.isversionofhttps://ieeexplore.ieee.org/document/7078304
dc.subject2-D signalsen_US
dc.subjectFast algorithmsen_US
dc.subjectFractional Fourier domainsen_US
dc.subjectFractional Fourier Transformationsen_US
dc.subjectFractional Fourier transformsen_US
dc.subjectFrequency contentsen_US
dc.subjectHermitiansen_US
dc.subjectIntuitive understandingen_US
dc.subjectQuadratic time-frequencyen_US
dc.subjectSignal representationsen_US
dc.subjectTheoretical derivationsen_US
dc.subjectTime-frequency distributionsen_US
dc.subjectTime-frequency signal representationen_US
dc.subjectUnitary operatorsen_US
dc.subjectFourier transformsen_US
dc.subjectSignal processingen_US
dc.subjectFourier opticsen_US
dc.titleGeneralization of time-frequency signal representations to joint fractional Fourier domainsen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.citation.spage1688en_US
dc.citation.epage1691en_US
dc.publisherIEEE
dc.contributor.bilkentauthorArıkan, Orhan


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