{"id":1930,"date":"2017-12-16T13:10:38","date_gmt":"2017-12-16T18:10:38","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1930"},"modified":"2025-12-28T10:56:15","modified_gmt":"2025-12-28T15:56:15","slug":"2eva2011tii_t3-lti-ct-con-filtro-pasa-banda","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-2eva\/2eva2011tii_t3-lti-ct-con-filtro-pasa-banda\/","title":{"rendered":"2Eva2011TII_T3 LTI CT con filtro pasa banda"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2011-2012. 2\/Febrero\/2012. TELG1001<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (30 puntos) Considere el sistema mostrado en la siguiente figura, en el cual la se\u00f1al v(t) es la resultante del producto de las se\u00f1ales peri\u00f3dicas x<sub>1<\/sub>(t) y x<sub>2<\/sub>(t), cuyos coeficientes complejos exponenciales de las Series de Fourier son los que se especifican como D<sub>k<\/sub> y E<sub>k<\/sub> respectivamente.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"472\" height=\"148\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/2E2011TII_T3_diagrama1.png\" alt=\"2E2011TII_T3 diagrama 1\" class=\"wp-image-20233\" \/><\/figure>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x_1 (t) = \\Rightarrow \\omega_{01} = 5 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> D_k (t) = \\frac{1}{2} \\delta [k+1] + \\frac{1}{2} \\delta [k-1] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x_2 (t) = \\Rightarrow \\omega_{02} = 3 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> E_k (t) = \\frac{1}{2} e^{j \\pi\/2}\\delta [k+1] + \\frac{1}{2} e^{-j \\pi \/2}\\delta [k-1] <\/span>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"556\" height=\"179\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/2E2011TII_T3_diagrama2.png\" alt=\"2E2011TII_T3 diagrama 2\" class=\"wp-image-20235\" \/><\/figure>\n\n\n\n<p>a. Determinar la frecuencia fundamental \u03c90 y el periodo fundamental T0 de la se\u00f1al v(t).<\/p>\n\n\n\n<p>b. Esquematizar y etiquetar el espectro de las Series de Fourier de la se\u00f1al v(t).<\/p>\n\n\n\n<p>c. Determinar la potencia de la se\u00f1al v(t).<\/p>\n\n\n\n<p>d. Determinar la potencia de la se\u00f1al del salida y(t) y la representaci\u00f3n de su espectro de las Series de Fourier complejas exponenciales.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2011-2012. 2\/Febrero\/2012. TELG1001 Tema 3. (30 puntos) Considere el sistema mostrado en la siguiente figura, en el cual la se\u00f1al v(t) es la resultante del producto de las se\u00f1ales peri\u00f3dicas x1(t) y x2(t), cuyos coeficientes complejos exponenciales de las Series de Fourier son los que se especifican como Dk y Ek [&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-1930","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\/1930","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=1930"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1930\/revisions"}],"predecessor-version":[{"id":20236,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1930\/revisions\/20236"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}