Fractional Fourier domains

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage124en_US
dc.citation.issueNumber1en_US
dc.citation.spage119en_US
dc.citation.volumeNumber46en_US
dc.contributor.authorÖzaktaş, Haldun M.
dc.contributor.authorAytür, O.
dc.date.accessioned2015-07-28T11:55:47Z
dc.date.available2015-07-28T11:55:47Z
dc.date.issued1995-09en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIt is customary to define the time-frequency plane such that time and frequency are mutually orthogonal coordinates. Representations of a signal in these domains are related by the Fourier transform. We consider a continuum of “fractional” domains making arbitrary angles with the time and frequency domains. Representations in these domains are related by the fractional Fourier transform. We derive transformation, commutation, and uncertainty relations among coordinate multiplication, differentiation, translation, and phase shift operators between domains making arbitrary angles with each other. These results have a simple geometric interpretation in time-frequency space.en_US
dc.identifier.doi10.1016/0165-1684(95)00076-Pen_US
dc.identifier.eissn1872-7557
dc.identifier.issn0165-1684
dc.identifier.urihttp://hdl.handle.net/11693/10787
dc.language.isoEnglishen_US
dc.publisherElsevier BVen_US
dc.relation.isversionofhttps://doi.org/10.1016/0165-1684(95)00076-Pen_US
dc.source.titleSignal Processingen_US
dc.subjectFractional Fourier transformsen_US
dc.subjectTime-frequency distributionsen_US
dc.subjectWigner distributionen_US
dc.titleFractional Fourier domainsen_US
dc.typeArticleen_US

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