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dc.contributorXambó Descamps, Sebastián
dc.contributorVallverdú Bayés, Ferran
dc.contributor.authorSayols Baixeras, Narcís
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.date.accessioned2012-03-07T12:38:00Z
dc.date.available2012-03-07T12:38:00Z
dc.date.issued2011-11
dc.identifier.urihttp://hdl.handle.net/2099.1/14560
dc.description.abstractThe aim of this project is to present in a systematic way the more relevant mathematical methods of signal processing, and to explore how they are applied to speech and image precessing. After explaining the more common parts of a standard course in signal processing, we put special emphasis in two new tools that have played a significant role in signal processing in the past few years: pattern theory and wavelet theory. Finally, we use all these techniques to implement an algorithm that detects the wallpaper group of a plane mosaic taking an image of it as input and an algorithm that returns the phoneme sequence of a speech signal. The material in this memory can be grouped in two parts. The first part, consisting of the first six chapters, deals with the theoretical foundation of signal processing. It also includes materials related to plane symmetry groups. The second part, consisting of the last two chapters, is focussed on the applications.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshInformation theory
dc.subject.lcshCoding theory
dc.subject.otherInformation And Communication
dc.subject.otherSignal processing
dc.subject.otherPattern theory
dc.subject.otherWavelet analysis
dc.titleMathematical methods of signal processing
dc.typeMaster thesis
dc.subject.lemacInformació, Teoria de la
dc.subject.lemacCodificació, Teoria de la
dc.subject.amsClassificació AMS::94 Information And Communication, Circuits::94A Communication, information
dc.rights.accessOpen Access
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeMÀSTER UNIVERSITARI EN MATEMÀTICA APLICADA (Pla 2009)


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