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    By: ConnexionsAs a part of collection:"Señales y Sistemas"

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    "Señales y Sistemas is a Spanish translation of Dr. Rich Baraniuk's collection Signals and Systems (col10064). The translation was coordinated by an an assistant electrical engineering professor […]"

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Señales Periódicas

Module by: Michael Haag, Justin Romberg. E-mail the authorsTranslated By: Fara Meza, Erika Jackson

Based on: Periodic Signals by Michael Haag, Justin Romberg

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Summary: Este modulo define una funcion periodica y describe las dos maneras comunes de pensar sobre una señal periodica.

Note: Your browser may not currently support MathML. See our browser support page for additional details. You can always view the correct math in the PDF version.

Recordemos que las funciones periódicas son funciones en las cuales su forma se repite exactamente después de un periodo o ciclo. Nosotros representaremos la definición de una función periódica matemáticamente como:

ft=ft+mT ∀m:m∈ℤ f t f t m T m m (1)
donde T>0 T 0 representa el periodo. Por esta razón, usted podrá ver esta señal ser llamada la señal periódica-T. Cualquier función que satisfaga esta ecuación es periódica.

Podemos pensar en funciones periódicas (con periodo-TT) de dos diferentes maneras:

#1) Como una función en todos ℝ

Figura 1: Función en todosℝ donde f t 0 =f t 0 +T f t 0 f t 0 T
Figura 1 (per_fxn1.png)

#2) O, podemos podemos recortar todas las redundancias, y pensar en ellas como funciones en un intervalo 0T 0 T (O, en términos generales, aa+T a a T ). Si sabemos que la señal es periódica-t entonces toda la información de la señal se encuentra en este intervalo.

Figura 2: Remueva la redundancia de la funcion periodica para que ft f t no esta definido afuera 0T 0 T .
Figura 2 (per_fxn2.png)

Una funcion aperiodica CT ft f t no se repite para cualquier T∈ℝ T ; i.e. no existe ninguna T T s.t. esta ecuacion es verdadera.

Pregunta: ¿ La definición de DT ?

Tiempo Continuo

Tiempo Discreto

Nota: Circular vs. Linear

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Definition of a lens

Lenses

A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual Connexions member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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