{"id":1728,"date":"2016-10-08T22:55:57","date_gmt":"2016-10-09T03:55:57","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1728"},"modified":"2026-04-05T16:44:22","modified_gmt":"2026-04-05T21:44:22","slug":"s2eva2017tii_t4-syf-con-funcion-de-transferencia-hf","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-ejemplos\/s2eva2017tii_t4-syf-con-funcion-de-transferencia-hf\/","title":{"rendered":"s2Eva2017TII_T4 Sy(f) con funci\u00f3n de transferencia H(f)"},"content":{"rendered":"\n<p><strong>Ejercicio<\/strong>: <a href=\"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-2eva\/2eva2017tii_t4-syf-con-funcion-de-transferencia-hf\/\" data-type=\"post\" data-id=\"1693\">2Eva2017TII_T4 Sy(f) con funci\u00f3n de transferencia H(f)<\/a><\/p>\n\n\n\n<p><strong>Tema 4<\/strong>.<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> S_x(f)= \\frac{N_0}{2} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> H(f) = \\frac{1}{1+j2\\pi f} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> S_{YX}(f) = H(f) S_x(f) = \\frac{N_0}{2}\\frac{1}{1+j2\\pi f} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_{YX}(\\tau) = F^{-1} [S_{YX}(f)] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> = \\frac{N_0}{2} F^{-1} \\Big[\\frac{1}{1+j2\\pi f} \\Big] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_{YX}(\\tau) = \\frac{N_0}{2} e^{-\\tau} , \\tau&gt;0 <\/span>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p>Autocorrelaci\u00f3n de Y(t)<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> S_{Y}(f) = |H(f)|^2 S_x(f) <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> = \\Big|\\frac{1}{1+j2\\pi f}\\Big| ^2 \\frac{N_0}{2} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> = \\Big|\\frac{1}{1+(2\\pi f)^2}\\Big| \\frac{N_0}{2} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> S_{Y}(f) = \\frac{N_0}{4} \\Big|\\frac{2}{1+(2\\pi f)^2}\\Big| <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_{Y}(\\tau) = F^{-1} [S_{Y}(f)] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> = F^{-1} \\Big[\\frac{N_0}{4} \\frac{2}{1+(2\\pi f)^2}\\ \\Big] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> = \\frac{N_0}{4} F^{-1} \\Big[\\frac{2}{1+(2\\pi f)^2}\\ \\Big] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_{Y}(\\tau) = \\frac{N_0}{4} e^{-|\\tau|}<\/span>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p>Potencia promedio<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_{Y}(0) = \\frac{N_0}{4} e^{-|0|} = \\frac{N_0}{4} <\/span>\n","protected":false},"excerpt":{"rendered":"<p>Ejercicio: 2Eva2017TII_T4 Sy(f) con funci\u00f3n de transferencia H(f) Tema 4. Autocorrelaci\u00f3n de Y(t) Potencia promedio<\/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":[203],"tags":[58,237],"class_list":["post-1728","post","type-post","status-publish","format-standard","hentry","category-stp-ejemplos","tag-ejemplos-python","tag-pestocasticos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1728","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=1728"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1728\/revisions"}],"predecessor-version":[{"id":23550,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1728\/revisions\/23550"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}