Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage41en_US
dc.citation.issueNumber2en_US
dc.citation.spage40en_US
dc.citation.volumeNumber3en_US
dc.contributor.authorÖzaktaş, Haldun M.
dc.contributor.authorErkaya, N.
dc.contributor.authorKutay, M. A.
dc.date.accessioned2015-07-28T11:55:49Z
dc.date.available2015-07-28T11:55:49Z
dc.date.issued1996-02en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider the Cohen (1989) class of time-frequency distributions, which can be obtained from the Wigner distribution by convolving it with a kernel characterizing that distribution. We show that the time-frequency distribution of the fractional Fourier transform of a function is a rotated version of the distribution of the original function, if the kernel is rotationally symmetric. Thus, the fractional Fourier transform corresponds to rotation of a relatively large class of time-frequency representations (phase-space representations), confirming the important role this transform plays in the study of such representations.en_US
dc.identifier.doi10.1109/97.484211en_US
dc.identifier.eissn1558-2361
dc.identifier.issn1070-9908
dc.identifier.urihttp://hdl.handle.net/11693/10794
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/97.484211en_US
dc.source.titleIEEE Signal Processing Lettersen_US
dc.subjectTime frequency analysisen_US
dc.subjectFourier transformsen_US
dc.subjectKernelen_US
dc.subjectOptical signal processingen_US
dc.subjectOptical computingen_US
dc.subjectQuantum mechanicsen_US
dc.subjectWavelet transformsen_US
dc.subjectNeural networksen_US
dc.subjectChirpen_US
dc.subjectSignal processing algorithmsen_US
dc.titleEffect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen classen_US
dc.typeArticleen_US

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