{"id":17811,"date":"2017-08-25T23:35:11","date_gmt":"2017-08-26T04:35:11","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/telg1001\/?p=1432"},"modified":"2026-04-06T06:34:26","modified_gmt":"2026-04-06T11:34:26","slug":"transformada-z-tabla-de-propiedades","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/ss-u07\/transformada-z-tabla-de-propiedades\/","title":{"rendered":"7.6.2 Transformada z - Tabla de Propiedades"},"content":{"rendered":"\n

Referencia<\/strong><\/em>: Schaum Hsu Tabla 4-2 p173. Lathi Tabla 5.2 p509. Oppenheim Tabla 10.3 p793<\/p>\n\n\n\n

Propiedad<\/th>se\u00f1al<\/th>Transformada z<\/th>ROC<\/th><\/tr>
 <\/td>x[n]
x1<\/sub>[n]
x2<\/sub>[n]<\/td>		X[z]
X1<\/sub>[z]
X2<\/sub>[z]<\/td>		R
R1<\/sub>
R2<\/sub><\/td><\/tr>
Aditiva<\/td>x1<\/sub>[n] + x2<\/sub>[n]<\/td>X1<\/sub>[z] + X2<\/sub>[z]<\/td> <\/td><\/tr>
Escalabilidad<\/td>a x[n]<\/td>a X[z]<\/td> <\/td><\/tr>
Linealidad<\/td> a_1 x_1[n] + a_2 x_2[n] <\/span><\/td>a_1 X_1[z] + a_2 X_2[z] <\/span><\/td>R' \u2283R1<\/sub>\u2229R2<\/sub><\/td><\/tr>
Desplazamiento
en tiempo<\/td>		x[n-n0<\/sub>]<\/td>z-n0<\/sub><\/sup> X[z]<\/td>R' \u2283 R\u2229{0<|z|<\u221e}<\/td><\/tr>
Multiplicaci\u00f3n
por z0<\/sub>n<\/sup><\/td>		z0<\/sub>n<\/sup> x[n]<\/td>X \\big(\\frac{z}{z_0}\\big) <\/span><\/td>R' = |z0<\/sub>|R<\/td><\/tr>
Multiplicaci\u00f3n
por ej\u03b2n<\/sup><\/td>		ej\u03b2n<\/sup> x[n]<\/td>X(e-j\u03b2<\/sup> z)<\/td>R' = R<\/td><\/tr>
Inversi\u00f3n en tiempo<\/td>x[-n]<\/td>X \\big(\\frac{1}{z}\\big) <\/span><\/td>R' = 1\/R<\/td><\/tr>
Multiplicaci\u00f3n
por n<\/td>		n x[n]<\/td>-z \\frac{\\delta}{\\delta z}X(z) <\/span><\/td>R' = R<\/td><\/tr>
Acumulativa<\/td> \\sum_{k=-\\infty}^n x[n] <\/span><\/td> \\frac{1}{1-z^{-1}} X(z) <\/span><\/td>R' \u2283 R\u2229{|z|>1}<\/td><\/tr>
Convoluci\u00f3n<\/td>x_1 \\circledast z_2 <\/span><\/td>X1<\/sub>[z]X2<\/sub>[z]<\/td>R' \u2283R1<\/sub>\u2229R2<\/sub><\/td><\/tr>
Valor inicial<\/td>x[0]<\/td>\\lim _{z \\rightarrow \\infty} X[z]<\/span><\/td> <\/td><\/tr>
Valor Final<\/td>\\lim _{N \\rightarrow \\infty} x[N]<\/span><\/td>\\lim _{z \\rightarrow 1} (z-1) X[z]<\/span><\/td> <\/td><\/tr>
 <\/td> <\/td>polos de (z-1)X[z] dentro de c\u00edrculo unitario<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Transformada z - Tabla<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Referencia: Schaum Hsu Tabla 4-2 p173. Lathi Tabla 5.2 p509. Oppenheim Tabla 10.3 p793 Propiedad se\u00f1al Transformada z ROC   x[n]x1[n]x2[n] X[z]X1[z]X2[z] RR1R2 Aditiva x1[n] + x2[n] X1[z] + X2[z]   Escalabilidad a x[n] a X[z]   Linealidad R' \u2283R1\u2229R2 Desplazamientoen tiempo x[n-n0] z-n0 X[z] R' \u2283 R\u2229{0<|z|<\u221e} Multiplicaci\u00f3npor z0n z0n x[n] R' = |z0|R […]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-ss-unidades","format":"standard","meta":{"footnotes":""},"categories":[177],"tags":[],"class_list":["post-17811","post","type-post","status-publish","format-standard","hentry","category-ss-u07"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/17811","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=17811"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/17811\/revisions"}],"predecessor-version":[{"id":24049,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/17811\/revisions\/24049"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=17811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=17811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=17811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}