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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

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

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:

f⁢t=f⁢t+m⁢T ∀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 0 T 0 T (O, en términos generales, a a+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 f⁢t f t no esta definido afuera 0 T 0 T .
Figura 2 (per_fxn2.png)

Una funcion aperiodica CT f⁢t 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 the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to 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 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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