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dc.contributor.advisorRodríguez, Domingo
dc.contributor.authorValera-Marquez, Juan B.
dc.description.abstractThis thesis describes the formulation of a Computational Signal Processing (CSP) modeling framework for the analysis of underwater acoustic signals used in the search, detection, estimation, and tracking (SDET) operations of moving objects. The underwater acoustic medium where the signals propagate is treated as linear stochastic time-varying system exhibiting double dispersive characteristics, in time and frequency, simultaneously. Acoustic Linear Stochastic (ALS) time-variant systems are characterized utilizing what is known as time-frequency calculus. The interaction of wavefront acoustic pressure fields with underwater moving objects is modeled using what is termed Imaging Sonar and Scattering (ISS) operators. It is demonstrated how the proposed CSP modeling framework, called ALSISS, may be formulated as an aggregate of ALS systems and ISS operators. Furthermore, it is demonstrated how concepts, tools, methods, and rules from the field of Information-Based Complexity (IBC) are utilized to seek approximate solutions to NP-hard problems encountered in the analysis of underwater acoustic signals treated under the ALSISS modeling framework. Error approximation algorithms, formulated as approximate solutions, are implemented using convex optimization techniques. Finally, Kronecker products algebra is used as a mathematical language to formulate new variants of matching pursuit algorithms and to aid in the mapping of these algorithms to parallel computational structures.en_US
dc.description.sponsorshipThis work was supported in part by National Science Foundation (NSF) under grants CNS-0922996 and CNS-0424546.en_US
dc.subjectTime-variant systemsen_US
dc.subjectComplexity approachen_US
dc.titleAn information-based complexity approach to acoustic linear stochastic time-variant systemsen_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c) 2013 Juan Batista Valera-Marquezen_US
dc.contributor.committeeManian, Vidya
dc.contributor.committeeMorales, Lizdabel
dc.contributor.committeeRodriguez, Manuel|Lu, Kejie
dc.contributor.representativeVelazquez, Esov and Information Sciences and Engineeringen_US
dc.contributor.collegeCollege of Engineeringen_US
dc.contributor.departmentDepartment of Electrical and Computer Engineeringen_US

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