{"id":1831,"date":"2017-12-07T13:05:24","date_gmt":"2017-12-07T18:05:24","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1831"},"modified":"2025-12-28T10:45:46","modified_gmt":"2025-12-28T15:45:46","slug":"2eva2010tii_t2-lti-ct-entrada-compuesta","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-2eva\/2eva2010tii_t2-lti-ct-entrada-compuesta\/","title":{"rendered":"2Eva2010TII_T2 LTI CT Entrada compuesta"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 3\/febrero\/2011. TELG1001<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (35 puntos) Considere el sistema LTI-CT mostrado en la siguiente figura:<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"204\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/2E2010TII_T2_LTIC_diagrama1.png\" alt=\"2E2010TII_T2 LTI C diagrama 1\" class=\"wp-image-20214\" \/><\/figure>\n\n\n\n<p>Donde:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x_1 (t) = \\cos(2\\pi t) <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x_2 (t) = \\sin(6\\pi t) <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> h (t) = 2\\frac{\\sin (2\\pi t)}{\\pi t} \\cos ( 7 \\pi t) <\/span>\n\n\n\n<p>Determinar, esquematizar y etiquetar seg\u00fan corresponda:<\/p>\n\n\n\n<p>a. La transformada de Fourier h(t). Es decir H(\u03c9) vs \u03c9.<\/p>\n\n\n\n<p>b. La transformada de Fourier de la se\u00f1al y(t). Es decir Y(\u03c9) vs \u03c9.<\/p>\n\n\n\n<p>c. La expresi\u00f3n anal\u00edtica de la salida y(t) y su potencia.<\/p>\n\n\n\n<p>d. Suponga ahora que se ingresa directamente a dicho sistema, un tren de impulsos descrito por:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x(t) = \\sum_{k=-\\infty}^{\\infty} A \\delta (t-kT_0) <\/span>\n\n\n\n<p>con T<sub>0<\/sub>=1.<\/p>\n\n\n\n<p>Obtener la expresi\u00f3n anal\u00edtica de la salida y(t) y su respectiva potencia.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 3\/febrero\/2011. TELG1001 Tema 2. (35 puntos) Considere el sistema LTI-CT mostrado en la siguiente figura: Donde: Determinar, esquematizar y etiquetar seg\u00fan corresponda: a. La transformada de Fourier h(t). Es decir H(\u03c9) vs \u03c9. b. La transformada de Fourier de la se\u00f1al y(t). Es decir Y(\u03c9) vs \u03c9. c. La expresi\u00f3n [&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":[180,185],"class_list":["post-1831","post","type-post","status-publish","format-standard","hentry","category-ss-2eva","tag-lti-ct","tag-transformada-fourier"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1831","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=1831"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1831\/revisions"}],"predecessor-version":[{"id":20216,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1831\/revisions\/20216"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1831"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1831"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1831"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}