Mathematical methods of signal processing

The 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...

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Detalles Bibliográficos
Autor: Sayols Baixeras, Narcís|||0000-0003-2170-4923
Tipo de recurso: tesis de maestría
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/14560
Acceso en línea:https://hdl.handle.net/2099.1/14560
Access Level:acceso abierto
Palabra clave:Information theory
Coding theory
Information And Communication
Signal processing
Pattern theory
Wavelet analysis
Informació, Teoria de la
Codificació, Teoria de la
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Àrees temàtiques de la UPC::Matemàtiques i estadística
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oai_identifier_str oai:upcommons.upc.edu:2099.1/14560
network_acronym_str ES
network_name_str España
repository_id_str
spelling Mathematical methods of signal processingSayols Baixeras, Narcís|||0000-0003-2170-4923Information theoryCoding theoryInformation And CommunicationSignal processingPattern theoryWavelet analysisInformació, Teoria de laCodificació, Teoria de laClassificació AMS::94 Information And Communication, Circuits::94A Communication, informationÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe 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.Universitat Politècnica de CatalunyaXambó Descamps, SebastiánVallverdú Bayés, Ferran20112011-11-0120122012-03-07master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2099.1/14560reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/145602026-05-27T15:37:01Z
dc.title.none.fl_str_mv Mathematical methods of signal processing
title Mathematical methods of signal processing
spellingShingle Mathematical methods of signal processing
Sayols Baixeras, Narcís|||0000-0003-2170-4923
Information theory
Coding theory
Information And Communication
Signal processing
Pattern theory
Wavelet analysis
Informació, Teoria de la
Codificació, Teoria de la
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Mathematical methods of signal processing
title_full Mathematical methods of signal processing
title_fullStr Mathematical methods of signal processing
title_full_unstemmed Mathematical methods of signal processing
title_sort Mathematical methods of signal processing
dc.creator.none.fl_str_mv Sayols Baixeras, Narcís|||0000-0003-2170-4923
author Sayols Baixeras, Narcís|||0000-0003-2170-4923
author_facet Sayols Baixeras, Narcís|||0000-0003-2170-4923
author_role author
dc.contributor.none.fl_str_mv Xambó Descamps, Sebastián
Vallverdú Bayés, Ferran
dc.subject.none.fl_str_mv Information theory
Coding theory
Information And Communication
Signal processing
Pattern theory
Wavelet analysis
Informació, Teoria de la
Codificació, Teoria de la
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Information theory
Coding theory
Information And Communication
Signal processing
Pattern theory
Wavelet analysis
Informació, Teoria de la
Codificació, Teoria de la
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Àrees temàtiques de la UPC::Matemàtiques i estadística
description The 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.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-11-01
2012
2012-03-07
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/14560
url https://hdl.handle.net/2099.1/14560
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420405104574464
score 15,301603

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