The effect of distribution of information on recovery of propagating signals

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buir.advisorÖzaktaş, Haldun M.
dc.contributor.authorKarabulut, Özgecan
dc.date.accessioned2016-04-27T13:23:57Z
dc.date.available2016-04-27T13:23:57Z
dc.date.copyright2015-09
dc.date.issued2015-09
dc.date.submitted29-09-2015
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (leaves 76-88).en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Electrical and Electronics Engineering, İhsan Doğramacı Bilkent University, 2015.en_US
dc.description.abstractInterpolation is one of the fundamental concepts in signal processing. The analysis of the di fficulty of interpolation of propagating waves is the subject of this thesis. It is known that the information contained in a propagating wave fi eld can be fully described by its uniform samples taken on a planar surface transversal to the propagation direction, so the eld can be found anywhere in space by using the wave propagation equations. However in some cases, the sample locations may be irregular and/or nonuniform. We are concerned with interpolation from such samples. To be able to reduce the problem to a pure mathematical form, the fractional Fourier transform is used thanks to the direct analogy between wave propagation and fractional Fourier transformation. The linear relationship between each sample and the unknown field distribution is established this way. These relationships, which constitute a signal recovery problem based on multiple partial fractional Fourier transform information, are analyzed. Recoverability of the fi eld is examined by comparing the condition numbers of the constructed matrices corresponding to di fferent distributions of the available samples.en_US
dc.description.provenanceSubmitted by Betül Özen (ozen@bilkent.edu.tr) on 2016-04-27T13:23:57Z No. of bitstreams: 1 OzgecanKarabulutTez.pdf: 2786566 bytes, checksum: 8b37c9c347066b58ad9853e6874c62d6 (MD5)en
dc.description.provenanceMade available in DSpace on 2016-04-27T13:23:57Z (GMT). No. of bitstreams: 1 OzgecanKarabulutTez.pdf: 2786566 bytes, checksum: 8b37c9c347066b58ad9853e6874c62d6 (MD5) Previous issue date: 2015-09en
dc.description.statementofresponsibilityby Özgecan Karabulut.en_US
dc.embargo.release2017-09-28
dc.format.extentxii, 88 leaves : charts.en_US
dc.identifier.itemidB151488
dc.identifier.urihttp://hdl.handle.net/11693/29004
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Fourier transformen_US
dc.subjectWave propagationen_US
dc.subjectSignal recoveryen_US
dc.subjectSamplingen_US
dc.subjectNonuniform samplingen_US
dc.subjectInterpolationen_US
dc.subjectPartial informationen_US
dc.subjectRedundancyen_US
dc.subjectCondition numberen_US
dc.titleThe effect of distribution of information on recovery of propagating signalsen_US
dc.title.alternativeBilgi dağılımının yayılan sinyallerin geri çatılması üstündeki etkisien_US
dc.typeThesisen_US
thesis.degree.disciplineElectrical and Electronic Engineering
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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