Applications of the fractional Fourier transform in optics and signal processing-a review

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dc.citation.epage417en_US
dc.citation.spage414en_US
dc.citation.volumeNumber2778en_US
dc.contributor.authorÖzaktaş, Haldun M.en_US
dc.contributor.authorMendlovic, D.en_US
dc.coverage.spatialTaejon, Koreaen_US
dc.date.accessioned2016-02-08T12:00:28Zen_US
dc.date.available2016-02-08T12:00:28Zen_US
dc.date.issued1996en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 19-23 August 1996en_US
dc.descriptionConference Name: 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 1996en_US
dc.description.abstractThe fractional Fourier transform The fractional Fourier transform is a generalization of the common Fourier transform with an order parameter a. Mathematically, the ath order fractional Fourier transform is the ath power of the fractional Fourier transform operator. The a = 1st order fractional transform is the common Fourier transform. The a = 0th transform is the function itself. With the development of the fractional Fourier transform and related concepts, we see that the common frequency domain is merely a special case of a continuum of fractional domains, and arrive at a richer and more general theory of alternate signal representations, all of which are elegantly related to the notion of space-frequency distributions. Every property and application of the common Fourier transform becomes a special case of that for the fractional transform. In every area in which Fourier transforms and frequency domain concepts are used, there exists the potential for generalization and improvement by using the fractional transform.en_US
dc.identifier.doi10.1117/12.2299085en_US
dc.identifier.issn0277-786Xen_US
dc.identifier.urihttp://hdl.handle.net/11693/27732en_US
dc.language.isoEnglishen_US
dc.publisherSPIEen_US
dc.relation.isversionofhttps://doi.org/10.1117/12.2299085en_US
dc.source.titleProceedings of SPIE Vol. 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technologyen_US
dc.subjectFractional Fourieren_US
dc.subjectFractional Fourier transformen_US
dc.subjectSignal processingen_US
dc.subjectFrequency domainen_US
dc.titleApplications of the fractional Fourier transform in optics and signal processing-a reviewen_US
dc.typeConference Paperen_US

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