0

543views

Find unilateral Laplace transform for the following signals, $x(t)=u(t)$

written 2.3 years ago by prajapatijaimin • 3.3k

•   modified 2.3 years ago

discrete time signal processing

ADD COMMENT FOLLOW SHARE EDIT

1 Answer

0

37views

written 2.3 years ago by prajapatijaimin • 3.3k

Solution:

$X(S)=\int_0^{\infty} \mathrm{x}(\mathrm{t}) \mathrm{e}^{-\mathrm{st}} \mathrm{dt}\\ $

$=\int_0^{\infty} \mathrm{u}(\mathrm{t}) \mathrm{e}^{-\mathrm{st}} \mathrm{dt}\\ $

$\int_0^{\infty} 1 e^{-s t} d t=\left[\frac{e^{-s t}}{-s}\right]_0^{\infty}\\ $

$=\left[\frac{e^{-s t}}{-s}\right]_0^{\infty}=\frac{1}{s}\\ $

ADD COMMENT SHARE EDIT