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dc.contributor.advisorÖzgüler, A. Bülent
dc.contributor.authorAkbaş, Mustafa
dc.date.accessioned2016-07-01T11:07:33Z
dc.date.available2016-07-01T11:07:33Z
dc.date.issued2001
dc.identifier.urihttp://hdl.handle.net/11693/29868
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractIt is well-known that subband decomposition and perfect reconstruction of an arbitrary input signal is possible by a proper design of four lters. Besides having a wide range of applications in signal processing, perfect reconstruction lter banks have a strong connection with wavelets as pointed out by Mallat. Daubechies managed to design minimal order, maximally at lters and she proposed a cascade algorithm to construct compactly supported orthogonal wavelets from the orthogonal perfect reconstruction lter banks. The convergence of the cascade algorithm requires at least one zero at z = 1 and z = 1 for the lowpass and the highpass lters, respectively. This thesis focuses on the design of two-channel lter banks with assigned zeros. The fact that causal, stable and rational transfer functions form a Euclidean domain is used to pose the problem in an abstract setup. A polynomial algorithm is proposed to design lter banks with lters having assigned zeros and a characterization of all solutions having the same zeros in terms of a free, even, causal, stable and rational transfer function is obtained. A generalization of Daubechies design of orthogonal lter banks is given. The free parameter can be used to improve the lter bank design and the design of corresponding orthogonal or biorthogonal wavelets. The results also nd an application in examining the robustness of regularity of minimal length compactly supported wavelets with respect to perturbation of lter zeros at 1 and -1.en_US
dc.description.statementofresponsibilityAkbaş, Mustafaen_US
dc.format.extent100 leavesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectlter banksen_US
dc.subjectperfect reconstructionen_US
dc.subjectwaveletsen_US
dc.subjectzero assignmenten_US
dc.subjectEuclidean domainen_US
dc.subjectpolynomial algorithmen_US
dc.subject.lccTK7872.F5 A33 2001en_US
dc.subject.lcshElectric filters Mathematics.en_US
dc.titleA zero-assignment approach to two-channel filter banks and waveletsen_US
dc.typeThesisen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidBILKUTUPB059873


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