{"id":1770,"date":"2018-02-01T09:53:50","date_gmt":"2018-02-01T14:53:50","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1770"},"modified":"2025-12-28T17:34:21","modified_gmt":"2025-12-28T22:34:21","slug":"3eva2009tii_t1-lti-ct-respuesta-a-filtro-hj%cf%89","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-3eva\/3eva2009tii_t1-lti-ct-respuesta-a-filtro-hj%cf%89\/","title":{"rendered":"3Eva2009TII_T1 LTI CT respuesta a filtro H(j\u03c9)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. 18\/Febrero\/2010. TELG1001<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. (20 puntos) Una se\u00f1al de entrada sinusoidal x(t) = cos(10t) es muestreada y filtrada tal como se aprecia en la siguiente figura:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"110\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2018\/02\/3E2009TII_T1_LTIC_diagrama1.png\" alt=\"3E2009TII_T1 LTI C diagrama 1\" class=\"wp-image-20263\" \/><\/figure>\n\n\n\n<p>Donde la respuesta de frecuencia del filtro est\u00e1 dada por:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> |H(j \\omega)| = \\begin {cases} 1 , 90 &lt;|\\omega|&lt;180 \\\\ 0, \\text{en otro caso}\\end{cases}<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\angle H(j \\omega) = - \\frac{\\pi \\omega}{200}<\/span>\n\n\n\n<p>a. Suponiendo que<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> s(t) = \\sum_{k=-\\infty}^{\\infty} \\delta(t-kT)<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> T= \\frac{2 \\pi}{90}<\/span>\n\n\n\n<p>Determinar, esquematizar y etiquetar la Transformada de Fourier de la se\u00f1al z(t). Es decir Z(j\u03c9).<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"687\" height=\"256\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2018\/02\/3E2009TII_T1_LTIC_diagrama2.png\" alt=\"3E2009TII_T1 LTI C diagrama 2\" class=\"wp-image-20265\" \/><\/figure>\n\n\n\n<p>b. Determinar la respuesta del sistema, es decir, y(t)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. 18\/Febrero\/2010. TELG1001 Tema 1. (20 puntos) Una se\u00f1al de entrada sinusoidal x(t) = cos(10t) es muestreada y filtrada tal como se aprecia en la siguiente figura: Donde la respuesta de frecuencia del filtro est\u00e1 dada por: a. Suponiendo que Determinar, esquematizar y etiquetar la Transformada de Fourier de la se\u00f1al [&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":[188],"tags":[180,185],"class_list":["post-1770","post","type-post","status-publish","format-standard","hentry","category-ss-3eva","tag-lti-ct","tag-transformada-fourier"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1770","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=1770"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1770\/revisions"}],"predecessor-version":[{"id":20266,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1770\/revisions\/20266"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1770"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1770"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1770"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}