Referencia<\/strong><\/em>: McClellan Tabla 8.1 p327-328<\/p>\n\n\n\n <\/p>\n\n\n\n Pares DFT Referencia: McClellan Tabla 8.1 p327-328 x[n] X[k] \u03b4[n] 1 \u03b4[n-nd] DFT Propiedades Propiedad dominio tiempo x[n] dominio frecuencia X[k] Peri\u00f3dica x[n] = x[n+N] X[k] = X[k+N] Linealidad ax1[n] +bx2[n] aX1[k] +bX2[k] Simetr\u00eda Conjugada x[n] Real X[N-k] = x*[k] Conjugaci\u00f3n x*[n] X*[N-K] Reversible en tiempo x[ ((N-n))N ] X[N-k] Retraso x[ ((n-nd))N […]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-dsp-unidades","format":"standard","meta":{"footnotes":""},"categories":[193],"tags":[],"class_list":["post-18274","post","type-post","status-publish","format-standard","hentry","category-dsp-unidades"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/18274","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=18274"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/18274\/revisions"}],"predecessor-version":[{"id":20624,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/18274\/revisions\/20624"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=18274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=18274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=18274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}x[n]<\/th> X[k]<\/th><\/tr> \u03b4[n]<\/td> 1<\/td><\/tr> \u03b4[n-nd<\/sub>]<\/td> e^{-j(2\\pi k\/N)n_d} <\/span><\/td><\/tr> r_L[n] = \\mu [n] - \\mu [n-L]<\/span><\/td> \\frac{\\sin\\Big(\\frac{1}{2}L(2\\pi k\/N)\\Big)}{\\sin\\Big(\\frac{1}{2}(2\\pi k\/N)\\Big)}e^{-j(2\\pi k\/N)(L-1)\/2} <\/span><\/td><\/tr> <\/td> D_L(2\\pi k\/N) = \\frac{\\sin\\Big(\\frac{1}{2}L(2\\pi k\/N)\\Big)}{\\sin\\Big(\\frac{1}{2}(2\\pi k\/N)\\Big)}<\/span><\/td><\/tr> r_L[n] e^{j(2\\pi k_0\/N)n} <\/span><\/td> D_L(2 \\pi (k-k0)\/N)e^{-j(2\\pi (k-k_0)\/N)(L-1)\/2} <\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n DFT Propiedades<\/h2>\n\n\n\n
Propiedad<\/th> dominio tiempo x[n]<\/th> dominio frecuencia X[k]<\/th><\/tr> Peri\u00f3dica<\/td> x[n] = x[n+N]<\/td> X[k] = X[k+N]<\/td><\/tr> Linealidad<\/td> ax1<\/sub>[n] +bx2<\/sub>[n]<\/td> aX1<\/sub>[k] +bX2<\/sub>[k]<\/td><\/tr> Simetr\u00eda Conjugada<\/td> x[n] Real<\/td> X[N-k] = x*<\/sup>[k]<\/td><\/tr> Conjugaci\u00f3n<\/td> x*<\/sup>[n]<\/td> X*<\/sup>[N-K]<\/td><\/tr> Reversible en tiempo<\/td> x[ ((N-n))N<\/sub> ]<\/td> X[N-k]<\/td><\/tr> Retraso<\/td> x[ ((n-nd<\/sub>))N<\/sub> ]<\/td> e^{ -j (2\\pi k\/N)n_d} X[k]<\/span><\/td><\/tr> Desplazamiento en frecuencia<\/td> x[n] e^{ j (2\\pi k_0\/N)n} <\/span><\/td> X[k-k0<\/sub>]<\/td><\/tr> Modulaci\u00f3n<\/td> x[n] \\cos\\Big((2\u03c0 k_0\/N)n\\Big) <\/span><\/td> \\frac{1}{2}X[k-k_0] + \\frac{1}{2}X[k+k_0]<\/span><\/td><\/tr> Convoluci\u00f3n<\/td> \\sum_{m=0}^{N-1} h[m]x[((n-m))_N ] <\/span><\/td> H[k]X[k]<\/td><\/tr> Teorema de Parseval<\/td> \\sum_{n=0}^{N-1} |x[n]|^2 = \\frac{1}{N}\\sum_{k=0}^{N-1} |X[k]|^2<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"