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Barker Sequences Theory and Applications

dc.contributor.advisorBenedetto, Johnen_US
dc.contributor.authorMacDonald, Kennethen_US
dc.date.accessioned2009-07-02T05:44:25Z
dc.date.available2009-07-02T05:44:25Z
dc.date.issued2009en_US
dc.identifier.urihttp://hdl.handle.net/1903/9162
dc.description.abstractA Barker sequence is a finite length binary sequence with the minimum possible aperiodic autocorrelation. Currently, only eight known Barker sequences exist and it has been conjectured that these are the only Barker sequences that exist. This thesis proves that long sequences (having length longer than thirteen) must have an even length and be a perfect square. Barker sequences are then used to explore flatness problems related to Littlewood polynomials. These theorems could be used to determine the existence or non-existence of longer sequences. Lastly, an application of Barker sequences is given. Barker sequences were initially investigated for the purposes of pulse compression in radar systems. This technique results in better range and Doppler resolution without the need to shorten a radar pulse, nor increase the power.en_US
dc.format.extent222543 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleBarker Sequences Theory and Applicationsen_US
dc.typeThesisen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.subject.pqcontrolledMathematicsen_US


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