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dc.contributor.advisorÖzaktaş, Haldun M.en_US
dc.contributor.authorKutay, Mehmet Alperen_US
dc.date.accessioned2016-01-08T20:20:24Z
dc.date.available2016-01-08T20:20:24Z
dc.date.issued1999
dc.identifier.urihttp://hdl.handle.net/11693/18561
dc.descriptionAnkara : Department of Electrical and Electonics Engineering and Institute of Engineering and Sciences, Bilkent Univ., 1999.en_US
dc.descriptionThesis (Ph.D.) -- Bilkent University, 1999.en_US
dc.descriptionIncludes bibliographical refences.en_US
dc.description.abstractIn this thesis, we first give a brief summary of the fractional Fourier transform which is the generalization of the ordinary Fourier transform, discuss its importance in optical and digital signal processing and its relation to time-frequency representations. We then introduce the concept of filtering circuits in fractional Fourier domains. This concept unifies the multi-stage (repeated) and multi-channel (parallel) filtering configurations which are in turn generalizations of single domain filtering in fractional Fourier domains. We show that these filtering configurations allow a cost-accuracy tradeoff by adjusting the number of stages or channels. We then consider the application of these configurations to three important problems, namely system synthesis, signal synthesis, and signal recovery, in optical and digital signal processing. In the system and signal synthesis problems, we try to synthesize a desired system characterized by its kernel, or a desired signal characterized by its second order statistics by using fractional Fourier domain filtering circuits. In the signal recovery problem, we try to recover or estimate a desired signal from its degraded version. In all of the examples we give, significant improvements in performance are obtained with respect to single domain filtering methods with only modest increases in optical or digital implementation costs. Similarly, when the proposed method is compared with the direct implementation of general linear systems, we see that significant computational savings are obtained with acceptable decreases in performance.en_US
dc.description.statementofresponsibilityKutay, Mehmet Alperen_US
dc.format.extentx, 101 leaves, illustrationsen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Fourier transformsen_US
dc.subjectOptical signal processingen_US
dc.subjectSignal and system synthesisen_US
dc.subjectSignal recoveryen_US
dc.subjectTime- or space-varying filteringen_US
dc.subject.lccQA404 .K88 1999en_US
dc.subject.lcshFourier transforms.en_US
dc.titleGeneralized filtering configurations with applications in digital and optical signal and image processingen_US
dc.typeThesisen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreePh.D.en_US


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