Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems

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dc.citation.epage432en_US
dc.citation.spage429en_US
dc.contributor.authorÖzaktaş, Haldun M.en_US
dc.contributor.authorÖktem, F. S.en_US
dc.coverage.spatialTrabzon, Turkeyen_US
dc.date.accessioned2016-02-08T11:55:33Z
dc.date.available2016-02-08T11:55:33Z
dc.date.issued2014en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 23-25 April 2014en_US
dc.descriptionConference Name: 22nd Signal Processing and Communications Applications Conference, SIU 2014en_US
dc.description.abstractWe study the degrees of freedom of optical systems and signals based on space-frequency (phase-space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency plane. Based on this relationship, we discuss how to explicitly quantify the degrees of freedom of first-order optical systems with multiple apertures, and give conditions for lossless transfer. Moreover, we focus on the degrees of freedom of signals in relation to the space-frequency support and provide a sub-Nyquist sampling approach to represent signals with arbitrary space-frequency support. Implications for simulating optical systems are also discussed.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:55:33Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2014en
dc.identifier.doi10.1109/SIU.2014.6830257en_US
dc.identifier.issn2165-0608en_US
dc.identifier.urihttp://hdl.handle.net/11693/27519
dc.language.isoTurkishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/SIU.2014.6830257en_US
dc.source.titleProceedings of the 22nd Signal Processing and Communications Applications Conference, SIU 2014en_US
dc.subjectDegrees of freedomen_US
dc.subjectOptical signal processingen_US
dc.subjectDegrees of freedom (mechanics)en_US
dc.subjectDigital signal processingen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectLinear transformationsen_US
dc.subjectMathematical transformationsen_US
dc.subjectOptical systemsen_US
dc.subjectPhase space methodsen_US
dc.subjectCanonical transformationen_US
dc.subjectFirst-order optical systemsen_US
dc.subjectFractional Fourier transformsen_US
dc.subjectLinear canonical transformen_US
dc.subjectMultiple aperturesen_US
dc.subjectNyquist sampling rateen_US
dc.subjectSub-Nyquist samplingen_US
dc.subjectTime frequency analysisen_US
dc.subjectMechanicsen_US
dc.titleLinear canonical transforms, degrees of freedom, and sampling in optical signals and systemsen_US
dc.title.alternativeOptik sinyaller ve sistemlerde doğrusal kanonik dönüşümler, serbestlik derecesi ve örneklemeen_US
dc.typeConference Paperen_US

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Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems [Optik sinyaller ve sistemlerde doǧrusal kanonik dönü şümler, serbestlik derecesi, ve örnekleme].pdf
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