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Este modulo ve el desplazamiento circular y como se puede usar para representar el desplazamiento de secuencias periodicas.

Las muchas propiedades de la DFTS se convierten sencillas ( muy similares a las de las Series de Fourier ) cuando entendemos el concepto de: desplazamientos circulares .

Desplazamientos circulares

Podemos describir las secuencias periódicas teniendo puntos discretos en un círculo como su dominio.

Desplazar m , f n m , corresponde a rotar el cilindro m puntos ACW (en contra del reloj). Para m -2 , obtenemos un desplazamiento igual al que se ve en la siguiente ilustración:

para m -2

Para ciclar los desplazamientos seguiremos los siguientes pasos:

1) Escriba f n en el cilindro, ACW

N 8

2) Para ciclar por m , gire el cilindro m lugares ACW f n f (( n + m )) N

m -3

Si f n

    0 1 2 3 4 5 6 7
, entonces f (( n - 3 )) N
    3 4 5 6 7 0 1 2

Es llamado desplazamiento circular , ya que nos estamos moviendo alrededor del círculo. El desplazamiento común es conocido como“desplazamiento linear”(un movimiento en una línea).

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Notas para el desplazamiento circular

f (( n + N )) N f n Girar por N lugares es lo mismo que girar por una vuelta completa, o no moverse del mismo lugar.

f (( n + N )) N f (( n - ( N - m ) )) N Desplazar ACW m es equivalente a desplazar CW N m

f (( - n )) N La expresión anterior, escribe los valores de f n para el lado del reloj.

f n
f (( - n )) N

Desplazamientos circulares y el dft

Desplazamiento circular y el dft

Si f n DFT F k entonces f (( n - m )) N DFT 2 N k m F k ( Por ejemplo . Desplazamiento circular en el dominio del tiempo= desplazamiento delángulo en el DFT)

f n 1 N k 0 N 1 F k 2 N k n
asíque el desplazar elángulo en el DFT
f n 1 N k 0 N 1 F k 2 N k n 2 N k n 1 N k 0 N 1 F k 2 N k n m f (( n - m )) N

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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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