Constant Amplitude Zero Autocorrelation Sequences and Single Pixel Camera Imaging

dc.contributor.advisorBenedetto, John Jen_US
dc.contributor.authorMagsino, Marken_US
dc.contributor.departmentMathematicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2018-07-17T05:58:59Z
dc.date.available2018-07-17T05:58:59Z
dc.date.issued2018en_US
dc.description.abstractThe primary focus is on Constant Amplitude Zero Autocorrelation sequences, or CAZAC sequences for short. We provide both an exposition and some new results relating to CAZAC sequences. We then apply them to Gabor frames and prove a condition for checking when Gabor systems generated by a CAZAC sequence are tight frames. We also construct multiple examples using this condition. Finally, we explore natural generalizations of CAZAC sequences to the torus and the real line and provide examples highlighting the differences between the generalizations. In the last section, we highlight some work done in image processing. In particular, we present results in single-pixel camera imaging and the demosaicing problem in image processing.en_US
dc.identifierhttps://doi.org/10.13016/M2JQ0SZ3C
dc.identifier.urihttp://hdl.handle.net/1903/20892
dc.language.isoenen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrolledCAZACen_US
dc.subject.pquncontrolledFramesen_US
dc.subject.pquncontrolledGabor Framesen_US
dc.subject.pquncontrolledSignal Processingen_US
dc.titleConstant Amplitude Zero Autocorrelation Sequences and Single Pixel Camera Imagingen_US
dc.typeDissertationen_US

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