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Modul pro generování "atomů" pro přeparametrizovanou reprezentaci signálu / Software module generating "atoms" for purposes of overcomplete signal representation

The aim of this master thesis is generating new "atoms'' for purposes of overcomplete signal representation for toolbox Frames in MATLAB. At first is described the principle of overcomplete systems and so-called frames. In the thesis is introduced the basic distribution of frames and conditions of their constructions. There is described the basic principle of finding the sparse solutions in overcomplete systems too. The main part is dealt with construction single functions for generating "atoms'', such as: Gabor function, B-splines, Bézier curves, Daubechies wavelets, etc. At last there is introduced an example of usage these functions for reconstruction signal in comparison with Fourier and wavelet transforms.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:218234
Date January 2010
CreatorsŠpiřík, Jan
ContributorsPrůša, Zdeněk, Rajmic, Pavel
PublisherVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií
Source SetsCzech ETDs
LanguageCzech
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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