{"id":885,"date":"2016-09-24T10:31:52","date_gmt":"2016-09-24T15:31:52","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=885"},"modified":"2026-04-05T16:28:08","modified_gmt":"2026-04-05T21:28:08","slug":"2eva2010tii_t4-fiec-densidad-espectral-de-potencia","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-2eva\/2eva2010tii_t4-fiec-densidad-espectral-de-potencia\/","title":{"rendered":"2Eva2010TII_T4 FIEC Densidad espectral de potencia"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. Febrero, 2011. FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 4<\/strong> (30 puntos). Asuma un proceso estoc\u00e1stico estacionario en el sentido amplio <strong>X<\/strong>(t) con funci\u00f3n de autocorrelaci\u00f3n:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_X(t) = 16 + e^{-|t|} , t \\in \\Re <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> Y(t) = 2 + X(t) cos (12\\pi t) <\/span>\n\n\n\n<p>a) Calcule la potencia promedio de <strong>X<\/strong>(t)<\/p>\n\n\n\n<p>b) Determine la funci\u00f3n de autocorrelaci\u00f3n R<sub>Y<\/sub>(t, t+\u03c4)<\/p>\n\n\n\n<p>c) Determine la densidad espectral de potencia <strong>Y<\/strong>(t)<\/p>\n\n\n\n<p>Pares de transformadas de Fourier<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x(t) \\leftrightarrow X(\\omega) <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> e^{-a|t|} \\leftrightarrow \\frac{2a}{a^2 + \\omega ^2} , a&gt;0 <\/span>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. Febrero, 2011. FIEC03236 Tema 4 (30 puntos). Asuma un proceso estoc\u00e1stico estacionario en el sentido amplio X(t) con funci\u00f3n de autocorrelaci\u00f3n: a) Calcule la potencia promedio de X(t) b) Determine la funci\u00f3n de autocorrelaci\u00f3n RY(t, t+\u03c4) c) Determine la densidad espectral de potencia Y(t) Pares de transformadas de Fourier<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-stp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[210],"tags":[],"class_list":["post-885","post","type-post","status-publish","format-standard","hentry","category-stp-2eva"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/885","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=885"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/885\/revisions"}],"predecessor-version":[{"id":23512,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/885\/revisions\/23512"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}