Efficient computation of joint fractional Fourier domain signal representation

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buir.contributor.authorArıkan, Orhan
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888
dc.citation.epage772en_US
dc.citation.issueNumber3en_US
dc.citation.spage765en_US
dc.citation.volumeNumber25en_US
dc.contributor.authorDurak, L.en_US
dc.contributor.authorÖzdemir, A. K.en_US
dc.contributor.authorArıkan, Orhanen_US
dc.date.accessioned2016-02-08T10:10:34Z
dc.date.available2016-02-08T10:10:34Z
dc.date.issued2008en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractA joint fractional domain signal representation is proposed based on an intuitive understanding from a time-frequency distribution of signals that designates the joint time and frequency energy content. The joint fractional signal representation (JFSR) of a signal is so designed that its projections onto 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, which include the oblique projections of the JFSR. We present a fast algorithm to compute radial slices of the JFSR and the results are shown for various signals at different fractionally ordered domains.en_US
dc.identifier.doi10.1364/JOSAA.25.000765en_US
dc.identifier.eissn1520-8532
dc.identifier.issn1084-7529
dc.identifier.urihttp://hdl.handle.net/11693/23228
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttps://doi.org/10.1364/JOSAA.25.000765en_US
dc.source.titleOptical Society of America. Journal A: Optics, Image Science, and Visionen_US
dc.titleEfficient computation of joint fractional Fourier domain signal representationen_US
dc.typeArticleen_US
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