{"id":1672,"date":"2017-09-09T14:23:53","date_gmt":"2017-09-09T19:23:53","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1672"},"modified":"2025-12-28T09:28:47","modified_gmt":"2025-12-28T14:28:47","slug":"1eva2010tii_t4-lti-dt-hn-respuesta-a-impulso","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-1eva\/1eva2010tii_t4-lti-dt-hn-respuesta-a-impulso\/","title":{"rendered":"1Eva2010TII_T4 LTI DT h[n] respuesta a impulso"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 9\/Diciembre\/2010. TELG1001<\/h2>\n\n\n\n<p><strong>Tema 4<\/strong>. (25 puntos) Un estudiante de la materia Sistemas Lineales ha determinado que una de las ra\u00edces caracter\u00edsticas del sistema LTI-DT causal, que se muestra en la siguiente figura, es \u03b3=1\/4. <\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"510\" height=\"114\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/09\/LTID_Entrada_Salida_Diagram.png\" alt=\"LTID Entrada Salida Diagrama\" class=\"wp-image-20093\" \/><\/figure>\n\n\n\n<p>La ecuaci\u00f3n de diferencias que relaciona la entrada-salida del mismo es dada por:<\/p>\n\n\n\n<p>.<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y[n] - \\frac{5}{4} y[n-1] + \\frac{1}{36} y[n-2] + \\frac{1}{18} y[n-3] = x[n] - \\frac{1}{2} x[n-1]<\/span>\n\n\n\n<p>Determinar:<\/p>\n\n\n\n<p>a. La respuesta impulso h[n] del sistema. Su respuesta debe ser de la forma:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> h[n] = a \\alpha ^n \\mu [n] + b \\beta ^n \\mu [n] + x \\rho ^n \\mu [n]<\/span>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>a =<\/td><td>b =<\/td><td>c =<\/td><\/tr><tr><td>\u03b1 =<\/td><td>\u03b2 =<\/td><td>\u03c1 =<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>obtenga los valores pertinentes-<\/p>\n\n\n\n<p>b. \u00bfEs el sistema BIBO estable?, justifique su respuesta<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 9\/Diciembre\/2010. TELG1001 Tema 4. (25 puntos) Un estudiante de la materia Sistemas Lineales ha determinado que una de las ra\u00edces caracter\u00edsticas del sistema LTI-DT causal, que se muestra en la siguiente figura, es \u03b3=1\/4. La ecuaci\u00f3n de diferencias que relaciona la entrada-salida del mismo es dada por: . Determinar: a. [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-ss-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[178],"tags":[182,183],"class_list":["post-1672","post","type-post","status-publish","format-standard","hentry","category-ss-1eva","tag-lti-dt","tag-transformada-z"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1672","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=1672"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1672\/revisions"}],"predecessor-version":[{"id":20096,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1672\/revisions\/20096"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1672"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1672"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1672"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}