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Tabla de Transformadas de Laplace Comunes

Module by: Melissa Selik, Richard Baraniuk. E-mail the authorsTranslated By: Fara Meza, Erika Jackson

Based on: Table of Common Laplace Transforms by Melissa Selik, Richard Baraniuk

Summary: Lista señales y ROC para varias transformadas de Laplace.

Tabla 1
Señal Transformada de Laplace Región de Convergencia
δ⁢t δ t 1 1 All ss
δ⁢t−T δ t T e−(s⁢T) s T All ss
u⁢t u t 1s 1 s ℜ⁢s>0 s 0
−u⁢−t u t 1s 1 s ℜ⁢s<0 s 0
t⁢u⁢t t u t 1s2 1 s 2 ℜ⁢s>0 s 0
tn⁢u⁢t t n u t n!sn+1 n s n 1 ℜ⁢s>0 s 0
−(tn⁢u⁢−t) t n u t n!sn+1 n s n 1 ℜ⁢s<0 s 0
e−(λ⁢t)⁢u⁢t λ t u t 1s+λ 1 s λ ℜ⁢s>−λ s λ
(−e−(λ⁢t))⁢u⁢−t λ t u t 1s+λ 1 s λ ℜ⁢s<−λ s λ
t⁢e−(λ⁢t)⁢u⁢t t λ t u t 1s−λ2 1 s λ 2 ℜ⁢s>−λ s λ
tn⁢e−(λ⁢t)⁢u⁢t t n λ t u t n!s+λn+1 n s λ n 1 ℜ⁢s>−λ s λ
−(tn⁢e−(λ⁢t)⁢u⁢−t) t n λ t u t n!s+λn+1 n s λ n 1 ℜ⁢s<−λ s λ
cosb⁢t⁢u⁢t b t u t ss2+b2 s s 2 b 2 ℜ⁢s>0 s 0
sinb⁢t⁢u⁢t b t u t bs2+b2 b s 2 b 2 ℜ⁢s>0 s 0
e−(a⁢t)⁢cosb⁢t⁢u⁢t a t b t u t s+as+a2+b2 s a s a 2 b 2 ℜ⁢s>−a s a
e−(a⁢t)⁢sinb⁢t⁢u⁢t a t b t u t bs+a2+b2 b s a 2 b 2 ℜ⁢s>−a s a
d n dt n δ⁢t t n δ t sn s n All ss

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