Relationships between two definitions of the discrete Wigner distribution and the continuous Wigner distribution

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buir.contributor.authorKorkmaz, Sayit
buir.contributor.authorÖzaktaş, Haldun M.
buir.contributor.orcidÖzaktaş, Haldun M.|0009-0001-8255-5426
dc.citation.epage104939-4
dc.citation.spage104939-1
dc.citation.volumeNumber158
dc.contributor.authorKorkmaz, Sayit
dc.contributor.authorÖzaktaş, Haldun M.
dc.date.accessioned2025-02-17T07:20:49Z
dc.date.available2025-02-17T07:20:49Z
dc.date.issued2025-03
dc.departmentDepartment of Electrical and Electronics Engineering
dc.description.abstractWe present a very simple relationship between two widely used discrete-time discrete-frequency Wigner distributions. The first one is obtained through sampling and the second one is obtained from the representation theory of the finite Heisenberg group. This relation shows that the values of one can simply be obtained by permuting the values of the other along the frequency axis, which in turn implies a relationship of the second definition to the samples of the continuous Wigner distribution, and the first definition to group representation theory. In the process, we derive a simplified form for the second definition which is completely analogous to the continuous Wigner distribution, and develop a set of relationships relating this definition to a discrete ambiguity function and auxiliary functions.
dc.description.provenanceSubmitted by Gizem Ünal (gizemunal@bilkent.edu.tr) on 2025-02-17T07:20:49Z No. of bitstreams: 1 Relationships_between_two_definitions_of_the_discrete_Wigner_distribution_and_the_continuous_Wigner_distribution.pdf: 599375 bytes, checksum: 543e93f965686d7bab49d2b5406fdeaf (MD5)en
dc.description.provenanceMade available in DSpace on 2025-02-17T07:20:49Z (GMT). No. of bitstreams: 1 Relationships_between_two_definitions_of_the_discrete_Wigner_distribution_and_the_continuous_Wigner_distribution.pdf: 599375 bytes, checksum: 543e93f965686d7bab49d2b5406fdeaf (MD5) Previous issue date: 2024-12-13en
dc.embargo.release2027-03
dc.identifier.doi10.1016/j.dsp.2024.104939
dc.identifier.eissn1095-4333
dc.identifier.issn1051-2004
dc.identifier.urihttps://hdl.handle.net/11693/116296
dc.language.isoEnglish
dc.publisherElsevier
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.dsp.2024.104939
dc.rightsCC BY 4.0 (Attribution 4.0 International Deed)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.source.titleDigital Signal Processing
dc.subjectWigner distribution
dc.subjectTime-frequency analysis
dc.subjectSampling
dc.subjectFractional Fourier transform
dc.subjectLinear canonical transforms
dc.titleRelationships between two definitions of the discrete Wigner distribution and the continuous Wigner distribution
dc.typeArticle

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