{"id":12817,"date":"2018-03-09T08:58:49","date_gmt":"2018-03-09T08:58:49","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/diseno-de-extensiones-para-procesamiento-de-senales-finitas-mediante-wavelets\/"},"modified":"2018-03-09T08:58:49","modified_gmt":"2018-03-09T08:58:49","slug":"diseno-de-extensiones-para-procesamiento-de-senales-finitas-mediante-wavelets","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/diseno-de-extensiones-para-procesamiento-de-senales-finitas-mediante-wavelets\/","title":{"rendered":"Dise\u00f1o de extensiones para procesamiento de se\u00f1ales finitas mediante wavelets"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Dom\u00ednguez Jim\u00e9nez M. Elena <\/strong><\/h2>\n<p>La t\u00e9cnica del procesamiento de se\u00f1ales mediante bancos de filtros ha sido y sigue siendo utilizada ampliamente en muchas aplicaciones de tratamiento digital de se\u00f1al en ingenier\u00eda. El avance que supuso el descubrimiento de la estrecha relaci\u00f3n entre la teor\u00eda de las funciones wavelet y el algoritmo en cascada de los bancos de filtros impuls\u00f3 la investigaci\u00f3n matem\u00e1tica aplicada a este campo de la ingenier\u00eda.  pero tambi\u00e9n es conocida la deficiencia de dicha t\u00e9cnica a la hora de procesar se\u00f1ales de longitud finita. En la pr\u00e1ctica todos los datos que se manejan son finitos, as\u00ed que se impone la necesidad de hallar soluciones a este problema.  los m\u00e9todos alternativos que se han propuesto en la literatura para solventarlo han sido de dos tipos: dise\u00f1o de filtros espec\u00edfivos para el borde, y t\u00e9cnicas de extensi\u00f3n artificial de la se\u00f1al finita. Pues bien, de entre los m\u00e9todos de extensi\u00f3n, se observa la inexistencia de una formulaci\u00f3n com\u00fan a todos ellos; a\u00fan m\u00e1s, resulta necesario realizar un estudio detallado de las propiedades de dichas t\u00e9cnicas de extensi\u00f3n, con el fin de plantearnos la existencia y construcci\u00f3n de nuevas extensiones.  una caracter\u00edstica que se debe investigar es la propiedad de reconstrucci\u00f3n perfecta de la se\u00f1al original en la etapa de s\u00edntesis. En este sentido, cabe destacar que estas t\u00e9cnicas suelen implementarse calculando m\u00e1s coeficientes subbanda que muestras originales con el fin de recuperarlas un\u00edvocamente. nosotros nos planteamos como primer objetivo la obtenci\u00f3n y el estudio completo de las extensiones no expansionistas, es decir, aquellas que consiguen reconstrucci\u00f3n perfecta con el mismo n\u00famero de coeficientes que en la se\u00f1al original.  otra propiedad deseable es que la transformada asociada al m\u00e9todo de extensi\u00f3n sea ortogonal. La extensi\u00f3n peri\u00f3dica es la \u00fanica conocida que lo verifica, pero tiene otros inconvenientes. Por ello, nuestro segundo objetivo es<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Dise\u00f1o de extensiones para procesamiento de se\u00f1ales finitas mediante wavelets<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Dise\u00f1o de extensiones para procesamiento de se\u00f1ales finitas mediante wavelets <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Dom\u00ednguez Jim\u00e9nez M. Elena <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/09\/2001<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Nuria Gonz\u00e1lez Prelcic<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel \u00e1lvarez fern\u00e1ndez <\/li>\n<li>paulo Goncalves ferreira (vocal)<\/li>\n<li>domingo Docampo amoedo (vocal)<\/li>\n<li>gabriel Crist\u00f3bal p\u00e9rez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Dom\u00ednguez Jim\u00e9nez M. Elena La t\u00e9cnica del procesamiento de se\u00f1ales mediante bancos de filtros ha sido y [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,3183,332,8097,25948,126,26350,16008,3706,41797],"tags":[30886,41798,4801,17080,41799,41800],"class_list":["post-12817","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-analisis-y-analisis-funcional","category-ciencias-tecnologicas","category-diseno-de-filtros","category-interpolacion-aproximacion-y-ajuste-de-curvas","category-matematicas","category-matrices","category-politecnica-de-madrid","category-tecnologia-electronica","category-transformadas-integrales","tag-domingo-docampo-amoedo","tag-dominguez-jimenez-m-elena","tag-gabriel-cristobal-perez","tag-manuel-alvarez-fernandez","tag-nuria-gonzalez-prelcic","tag-paulo-goncalves-ferreira"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12817","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=12817"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12817\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=12817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=12817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=12817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}