{"id":2043,"date":"2017-04-17T13:00:52","date_gmt":"2017-04-17T18:00:52","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=2043"},"modified":"2026-04-14T06:07:48","modified_gmt":"2026-04-14T11:07:48","slug":"convolucion-tabla-de-propiedades","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-u03\/convolucion-tabla-de-propiedades\/","title":{"rendered":"3.9.1 Convoluci\u00f3n - Tabla de Propiedades"},"content":{"rendered":"\n<p><em><strong>Referencia<\/strong><\/em>: Lathi 2.4-1 p170, Hsu Schaum 2.2.D p57, Oppenheim 2.2 p90 pdf121<\/p>\n\n\n\n<p>1, Conmutativa:<\/p>\n\n\n\n<p class=\"has-text-align-center\">x(t) \u2297 h(t) = h(t) \u2297 x(t)<\/p>\n\n\n\n<p>2. Asociativa<\/p>\n\n\n\n<p class=\"has-text-align-center\">[x(t) \u2297 h<sub>1<\/sub>(t)] \u2297 h<sub>2<\/sub>(t) = x(t) \u2297 [h<sub>1<\/sub>(t) \u2297 h<sub>2<\/sub>(t)]<\/p>\n\n\n\n<p>3. Distributiva<\/p>\n\n\n\n<p class=\"has-text-align-center\">x(t) \u2297 [h<sub>1<\/sub>(t) + h<sub>2<\/sub>(t)] = x(t) \u2297 h<sub>1<\/sub>(t) + x(t) \u2297 h<sub>2<\/sub>(t)]<\/p>\n\n\n\n<p>4. Desplazamiento<br>Si: x(t) \u2297 h(t) = c(t)<\/p>\n\n\n\n<p class=\"has-text-align-center\">x<sub>1<\/sub>(t) \u2297 x<sub>2<\/sub>(t-T) = x<sub>1<\/sub>(t-T) \u2297 x<sub>2<\/sub>(t) = c(t-T)<\/p>\n\n\n\n<p class=\"has-text-align-center\">x<sub>1<\/sub>(t-T<sub>1<\/sub>) \u2297 x<sub>2<\/sub>(t-T<sub>2<\/sub>) = c(t-T<sub>1<\/sub> - T<sub>2<\/sub>)<\/p>\n\n\n\n<p>5. Convoluci\u00f3n con un impulso<\/p>\n\n\n\n<p class=\"has-text-align-center\">x(t) \u2297 \u03b4(t) = x(t)<\/p>\n\n\n\n<p>6. Duraci\u00f3n o ancho de se\u00f1al<\/p>\n\n\n\n<p>Si la duraci\u00f3n (ancho) de x<sub>1<\/sub>(t) y x<sub>2<\/sub>(t) son finitas dados por T<sub>1<\/sub> y T<sub>2<\/sub>, la duraci\u00f3n de la convoluci\u00f3n de x<sub>1<\/sub>(t) \u2297 x<sub>2<\/sub>(t) es T<sub>1<\/sub> + T<sub>2<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"784\" height=\"160\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/04\/ConvolucionDuracionAncho01.png\" alt=\"Convoluci\u00f3n Duraci\u00f3n Ancho 01\" class=\"wp-image-19615\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Referencia: Lathi 2.4-1 p170, Hsu Schaum 2.2.D p57, Oppenheim 2.2 p90 pdf121 1, Conmutativa: x(t) \u2297 h(t) = h(t) \u2297 x(t) 2. Asociativa [x(t) \u2297 h1(t)] \u2297 h2(t) = x(t) \u2297 [h1(t) \u2297 h2(t)] 3. Distributiva x(t) \u2297 [h1(t) + h2(t)] = x(t) \u2297 h1(t) + x(t) \u2297 h2(t)] 4. DesplazamientoSi: x(t) \u2297 h(t) = [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-ss-unidades","format":"standard","meta":{"footnotes":""},"categories":[171],"tags":[],"class_list":["post-2043","post","type-post","status-publish","format-standard","hentry","category-ss-u03"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=2043"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2043\/revisions"}],"predecessor-version":[{"id":23979,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2043\/revisions\/23979"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=2043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=2043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=2043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}