Short-time Fourier transform: two fundamental properties and an optimal implementation

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buir.contributor.authorArıkan, Orhan
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888
dc.citation.epage1242en_US
dc.citation.issueNumber5en_US
dc.citation.spage1231en_US
dc.citation.volumeNumber51en_US
dc.contributor.authorDurak, L.en_US
dc.contributor.authorArıkan, Orhanen_US
dc.date.accessioned2016-02-08T10:30:11Z
dc.date.available2016-02-08T10:30:11Z
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractShift and rotation invariance properties of linear time-frequency representations are investigated. It is shown that among all linear time-frequency representations, only the short-time Fourier transform (STFT) family with the Hermite-Gaussian kernels satisfies both the shift invariance and rotation invariance properties that are satisfied by the Wigner distribution (WD). By extending the time-bandwidth product (TBP) concept to fractional Fourier domains, a generalized time-bandwidth product (GTBP) is defined. For mono-component signals, it is shown that GTBP provides a rotation independent measure of compactness. Similar to the TBP optimal STFT, the GTBP optimal STFT that causes the least amount of increase in the GTBP of the signal is obtained. Finally, a linear canonical decomposition of the obtained GTBP optimal STFT analysis is presented to identify its relation to the rotationally invariant STFT.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:30:11Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2003en
dc.identifier.doi10.1109/TSP.2003.810293en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/24491
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TSP.2003.810293en_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.subjectFractional Fourier transformen_US
dc.subjectGeneralized time-bandwidth producten_US
dc.subjectLinear time-frequency representationsen_US
dc.subjectRotation invarianceen_US
dc.subjectShort-time Fourier transformen_US
dc.subjectAlgorithmsen_US
dc.subjectBandwidthen_US
dc.subjectFourier transformsen_US
dc.subjectProbability distributionsen_US
dc.subjectRadar target recognitionen_US
dc.subjectSpectrographsen_US
dc.subjectSpectrum analysisen_US
dc.subjectSignal processingen_US
dc.titleShort-time Fourier transform: two fundamental properties and an optimal implementationen_US
dc.typeArticleen_US

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