Skip to content Skip to navigation Skip to collection information

OpenStax_CNX

You are here: Home » Content » Señales y Sistemas » Propiedades de la Transformada de Fourier

Navigation

Table of Contents

Lenses

What is a lens?

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.

This content is ...

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • Rice Digital Scholarship

    This collection is included in aLens by: Digital Scholarship at Rice University

    Click the "Rice Digital Scholarship" link to see all content affiliated with them.

  • Featured Content display tagshide tags

    This collection is included inLens: Connexions Featured Content
    By: Connexions

    Comments:

    "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 […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Also in these lenses

  • Lens for Engineering

    This module and collection are included inLens: Lens for Engineering
    By: Sidney Burrus

    Click the "Lens for Engineering" link to see all content selected in this lens.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Propiedades de la Transformada de Fourier

Module by: Don Johnson. E-mail the authorTranslated By: Fara Meza, Erika Jackson

Based on: Fourier Transform Properties by Don Johnson

Summary: Una tabla de las transformadas mas comunes, para su referencia.

Tabla 1: Pequeña Tabla de los Pares de la Transformada de Fourier
s(t) S(f)
e(at)ut a t u t 1j2πf+a 1 2 f a
e(a)|t| a t 2a4π2f2+a2 2 a 4 2 f 2 a 2
pt={1  if  |t|<Δ20  if  |t|>Δ2 p t 1 t Δ 2 0 t Δ 2 sinπfΔπf f Δ f
sin2πWtπt 2 W t t Sf={1  if  |f|<W0  if  |f|>W S f 1 f W 0 f W
Tabla 2: Propiedades de la Transformada de Fourier
Dominio del Tiempo Dominio de la Frecuencia
Linealidad a 1 s 1 t+ a 2 s 2 t a 1 s 1 t a 2 s 2 t a 1 S 1 f+ a 2 S 2 f a 1 S 1 f a 2 S 2 f
Simetria Conjugada stR s t Sf=Sf* S f S f
Simetria Par st=st s t s t Sf=Sf S f S f
Simetria Impar st=st s t s t Sf=Sf S f S f
Cambio de Escala sat s a t 1|a|Sfa 1 a S f a
Retraso en el Tiempo stτ s t τ e(j2πfτ)Sf 2 f τ S f
Modulación Compleja ej2π f 0 tst 2 f 0 t s t Sf f 0 S f f 0
Amplitud Modulada por Coseno stcos2π f 0 t s t 2 f 0 t Sf f 0 +Sf+ f 0 2 S f f 0 S f f 0 2
Amplitud Modulada por Seno stsin2π f 0 t s t 2 f 0 t Sf f 0 Sf+ f 0 2j S f f 0 S f f 0 2
Derivación dd t st t s t j2πfSf 2 f S f
Integración tsαd α α t s α 1j2πfSf 1 2 f S f if S0=0 S 0 0
Multiplicación por tt tst t s t 1(j2π)dSfd f 1 2 f S f
Área std t t s t S0 S 0
Valor en el Origen s0 s 0 Sfd f f S f
Teorema de Parseval |st|2d t t s t 2 |Sf|2d f f S f 2

Collection Navigation

Content actions

Download:

Collection as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Module as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

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.

| External bookmarks

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

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.

| External bookmarks