Skip to content Skip to navigation

Connexions

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

Navigation

Content Actions
  • Download module PDF
  • Add to ...
    Add the module to:
    • My Favorites
    • A lens
    • An external social bookmarking service
    • My Favorites (What is 'My Favorites'?)
      'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.
    • A lens (What is a lens?)

      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.

    • External bookmarks
  • E-mail the author

Recently Viewed

This feature requires Javascript to be enabled.

Propiedades de la Transformada de Fourier

Module by: Don Johnson Translated by: Fara Meza, Erika JacksonBased on: Fourier Transform Properties por Don Johnson

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

Pequeña Tabla de los Pares de la Transformada de Fourier
s(t) S(f)
ⅇ-atut a t u t 1ⅈ2πf+a 1 2 f a
ⅇ-a|t| a t 2a4π2f2+a2 2 a 4 2 f 2 a 2
pt=1if|t|<Δ20if|t|>Δ2 p t 1 t Δ 2 0 t Δ 2 sinπfΔπf f Δ f
sin2πWtπt 2 W t t Sf=1if|f|<W0if|f|>W S f 1 f W 0 f W
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 st∈ℝ s t Sf=S-f¯ S f S f
Simetria Par st=s-t s t s t Sf=S-f S f S f
Simetria Impar st=-s-t s t s t Sf=-S-f S f S f
Cambio de Escala sat s a t 1|a|Sfa 1 a S f a
Retraso en el Tiempo st-τ s t τ ⅇ-ⅈ2πfτSf 2 f τ S f
Modulación Compleja ⅇⅈ2π 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 2ⅈ S f f 0 S f f 0 2
Derivación ddtst t s t ⅈ2πfSf 2 f S f
Integración ∫-∞tsαdα α t s α 1ⅈ2πfSf 1 2 f S f if S0=0 S 0 0
Multiplicación por tt tst t s t 1-ⅈ2πddfSf 1 2 f S f
Área ∫-∞∞stdt t s t S0 S 0
Valor en el Origen s0 s 0 ∫-∞∞Sfdf f S f
Teorema de Parseval ∫-∞∞|st|2dt t s t 2 ∫-∞∞|Sf|2df f S f 2

Comments, questions, feedback, criticisms?

Send feedback