Fast and accurate algorithms for quadratic phase integrals in optics and signal processing

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dc.citation.volumeNumber8043en_US
dc.contributor.authorKoç, A.en_US
dc.contributor.authorÖzaktaş, Haldun M.en_US
dc.contributor.authorHesselink L.en_US
dc.coverage.spatialOrlando, Florida, United Statesen_US
dc.date.accessioned2016-02-08T12:20:05Z
dc.date.available2016-02-08T12:20:05Z
dc.date.issued2011en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionConference name: Proceedings of SPIE, Three-Dimensional Imaging, Visualization, and Display 2011en_US
dc.descriptionDate of Conference: 27–28 April 2011en_US
dc.description.abstractThe class of two-dimensional non-separable linear canonical transforms is the most general family of linear canonical transforms, which are important in both signal/image processing and optics. Application areas include noise filtering, image encryption, design and analysis of ABCD systems, etc. To facilitate these applications, one need to obtain a digital computation method and a fast algorithm to calculate the input-output relationships of these transforms. We derive an algorithm of NlogN time, N being the space-bandwidth product. The algorithm controls the space-bandwidth products, to achieve information theoretically sufficient, but not redundant, sampling required for the reconstruction of the underlying continuous functions. © 2011 SPIE.en_US
dc.identifier.doi10.1117/12.884676en_US
dc.identifier.issn0277-786X
dc.identifier.urihttp://hdl.handle.net/11693/28418
dc.language.isoEnglishen_US
dc.publisherSPIEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1117/12.884676en_US
dc.source.titleProceedings of SPIEen_US
dc.subjectABCD opticsen_US
dc.subjectFast algorithmsen_US
dc.subjectLinear Canonical Transformsen_US
dc.subjectQuadratic-Phase Systemsen_US
dc.subjectTransformsen_US
dc.subjectBandwidthen_US
dc.subjectImaging systemsen_US
dc.subjectMathematical transformationsen_US
dc.subjectOpticsen_US
dc.subjectSignal processingen_US
dc.subjectVisualizationen_US
dc.subjectContinuous functionsen_US
dc.subjectDesign and analysisen_US
dc.subjectDigital computationen_US
dc.subjectFast algorithmsen_US
dc.subjectFast and accurate algorithmsen_US
dc.subjectImage encryptionsen_US
dc.subjectLinear canonical transformen_US
dc.subjectSpace-bandwidth producten_US
dc.subjectAlgorithmsen_US
dc.titleFast and accurate algorithms for quadratic phase integrals in optics and signal processingen_US
dc.typeConference Paperen_US

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