5.6 Propiedades de la transformada de fourier

Señales y sistemas Page 1 / 1

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

Propiedades de la transformada de fourier
	Dominio del Tiempo	Dominio de la Frecuencia
Linealidad	$a_{1} s_{1} t a_{2} s_{2} t$	$a_{1} S_{1} f a_{2} S_{2} f$
Simetria Conjugada	$s t$	$S f S f$
Simetria Par	$s t s t$	$S f S f$
Simetria Impar	$s t s t$	$S f S f$
Cambio de Escala	$s a t$	$1 a S f a$
Retraso en el Tiempo	$s t τ$	$2 f τ S f$
Modulación Compleja	$2 f_{0} t s t$	$S f f_{0}$
Amplitud Modulada por Coseno	$s t 2 f_{0} t$	$S f f_{0} S f f_{0} 2$
Amplitud Modulada por Seno	$s t 2 f_{0} t$	$S f f_{0} S f f_{0} 2$
Derivación	$t s t$	$2 f S f$
Integración	$α$ ∞ t s α	$1 2 f S f$ if $S 0 0$
Multiplicación por $t$	$t s t$	$12 f S f$
Área	$t$ ∞ ∞ s t	$S 0$
Valor en el Origen	$s 0$	$f$ ∞ ∞ S f
Teorema de Parseval	$t$ ∞ ∞ s t 2	$f$ ∞ ∞ S f 2

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Source: OpenStax, Señales y sistemas. OpenStax CNX. Sep 28, 2006 Download for free at http://cnx.org/content/col10373/1.2

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