{"id":1954,"date":"2018-01-12T19:17:27","date_gmt":"2018-01-13T00:17:27","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1954"},"modified":"2026-01-02T10:28:22","modified_gmt":"2026-01-02T15:28:22","slug":"2eva2012ti_t3-lti-dt-causal-respuesta-impulso","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-2eva\/2eva2012ti_t3-lti-dt-causal-respuesta-impulso\/","title":{"rendered":"2Eva2012TI_T3 LTI DT causal, coeficientes de respuesta impulso h[n]"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 30\/Agosto\/2012. TELG1001<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (30 puntos) Un estudiante de la materia Sistemas Lineales ha determinado que una de las ra\u00edces caracter\u00edsticas del sistema LTI-DT causal, que muestra en la siguiente figura, es \u03b3 = 1\/4, y cuya ecuaci\u00f3n de diferencias que relaciona la entrada-salida del mismo est\u00e1 dada por:<\/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<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"81\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/2E2009TII_T2_LTID_diagrama1.png\" alt=\"2E2009TII_T2 LTI D diagrama 1\" class=\"wp-image-20189\" \/><\/figure>\n\n\n\n<p>Determinar:<\/p>\n\n\n\n<p>a. La respuesta impulso h[n] del sistema. Su respuesta deber 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] + c \\gamma^n \\mu [n] <\/span>\n\n\n\n<p>obtenga entonces los valores pertinentes.<\/p>\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>\u03b3=<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>b. \u00bfEs el sistema BIBO estable?, justifique su respuesta.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 30\/Agosto\/2012. TELG1001 Tema 3. (30 puntos) Un estudiante de la materia Sistemas Lineales ha determinado que una de las ra\u00edces caracter\u00edsticas del sistema LTI-DT causal, que muestra en la siguiente figura, es \u03b3 = 1\/4, y cuya ecuaci\u00f3n de diferencias que relaciona la entrada-salida del mismo est\u00e1 dada por: Determinar: [&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":[186],"tags":[183],"class_list":["post-1954","post","type-post","status-publish","format-standard","hentry","category-ss-2eva","tag-transformada-z"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1954","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=1954"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1954\/revisions"}],"predecessor-version":[{"id":20240,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1954\/revisions\/20240"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}