Novel solutions to classical signal processing problems in optimization framework

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buir.advisorArıkan, Orhan
dc.contributor.authorAlp, Yaşar Kemal
dc.date.accessioned2016-07-01T11:10:25Z
dc.date.available2016-07-01T11:10:25Z
dc.date.issued2014
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractNovel approaches for three classical signal processing problems in optimization framework are proposed to provide further flexibility and performance improvement. In the first part, a new technique, which uses Hermite-Gaussian (HG) functions, is developed for analysis of signals, whose components have non-overlapping compact time-frequency supports. Once the support of each signal component is properly transformed, HG functions provide optimal representations. Conducted experiments show that proposed method provides reliable identification and extraction of signal components even under severe noise cases. In the second part, three different approaches are proposed for designing a set of orthogonal pulse shapes for ultra-wideband communication systems with wideband antennas. Each pulse shape is modelled as a linear combination of time shifted and scaled HG functions. By solving the constructed optimization problems, high energy pulse shapes, which maintain orthogonality at the receiver with desired timefrequency characteristics are obtained. Moreover, by showing that, derivatives of HG functions can be represented as a linear combination of HGs, a simple optimal correlating receiver structure is proposed. In the third part, two different methods for phase-only control of array antennas based on semidefinite modelling are proposed. First, antenna pattern design problem is formulated as a non-convex quadratically constraint quadratic problem (QCQP). Then, by relaxing the QCQP formulation, a convex semidefinite problem (SDP) is obtained. For moderate size arrays, a novel iterative rank refinement algorithm is proposed to achieve a rank-1 solution for the obtained SDP, which is the solution to the original QCQP formulation. For large arrays an alternating direction method of multipliers (ADMM) based solution is developed. Conducted experiments show that both methods provide effective phase settings, which generate beam patterns under highly flexible constraints.en_US
dc.description.provenanceMade available in DSpace on 2016-07-01T11:10:25Z (GMT). No. of bitstreams: 1 0006642.pdf: 1567054 bytes, checksum: 3cdcf1e0983a77a8260c04a4173357e6 (MD5) Previous issue date: 2014en
dc.description.statementofresponsibilityAlp, Yaşar Kemalen_US
dc.format.extentxxi, 118 leaves, graphicsen_US
dc.identifier.itemidB147390
dc.identifier.urihttp://hdl.handle.net/11693/30004
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Gaussian functionen_US
dc.subjecttime-frequency supporten_US
dc.subjectime-frequency analysisen_US
dc.subjectultra-wideband communicationsen_US
dc.subjectoptimization problemen_US
dc.subjectcorrelating receiveren_US
dc.subjectphased array antennasen_US
dc.subjectsemidefinite problemen_US
dc.subjectquadratically constrained quadratic problemen_US
dc.subjectconvex relaxationen_US
dc.subjectranken_US
dc.subjectalternating direction method of multipliersen_US
dc.subjectbeam patternen_US
dc.subject.lccTK5102.9 .A47 2014en_US
dc.subject.lcshAdaptive signal processing.en_US
dc.titleNovel solutions to classical signal processing problems in optimization frameworken_US
dc.typeThesisen_US
thesis.degree.disciplineElectrical and Electronic Engineering
thesis.degree.grantorBilkent University
thesis.degree.levelDoctoral
thesis.degree.namePh.D. (Doctor of Philosophy)

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