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Previous issue date: 2008-09-17 / In this work we presented an exhibition of the mathematical theory of orthogonal compact support wavelets in the context of multiresoluction analysis. These are particularly attractive wavelets because they lead to a stable and very efficient algorithm, that is Fast Transform Wavelet (FWT). One of our objectives is to develop efficient algorithms for calculating the coefficients wavelet (FWT) through the pyramid algorithm of Mallat and to discuss his connection
with filters Banks. We also studied the concept of multiresoluction analysis, that is the context in that wavelets
can be understood and built naturally, taking an important step in the change from the Mathematical universe (Continuous Domain) for the Universe of the representation (Discret Domain) / Neste trabalho apresentamos uma exposi??o da teoria matem?tica das wavelets ortogonais de suporte compacto no contexto de an?lise de multiresolu??o. Estas wavelets s?o particularmente atraentes porque conduzem a um algoritmo est?vel e muito eficiente, isto ?, a Transformada R?pida Wavelet (FWT). Um dos nossos objetivos ? desenvolver algoritmos eficientes para o calculo dos coeficientes wavelet (FWT) atrav?s do algoritmo pir?midal de Mallat e discutir sua
conex?o com Banco de Filtros. Estudamos tamb?m o conceito de an?lise de multiresolu??o, que ? o contexto em que wavelets podem ser entendidas e constru?das naturalmente, tomando um importante passo na mudan?a do universo Matem?tico (Dom?nio Cont?nuo) para o Universo da representa??o (Dom?nio Discreto).
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/17002 |
| Date | 17 September 2008 |
| Creators | Barbosa, Francisco M?rcio |
| Contributors | CPF:00588750425, http://lattes.cnpq.br/6051109030233375, Morais, Edemerson Solano Batista de, CPF:83717536400, http://lattes.cnpq.br/0594792275724616, Pereira, Marcelo Gomes, Freitas, Joaquim Elias de |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em Matem?tica Aplicada e Estat?stica, UFRN, BR, Probabilidade e Estat?stica; Modelagem Matem?tica |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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