| Line 9: | Line 9: | ||
<math>X(s)= \int_{-\infty}^{\infty}x(t){e^{-st}}\, dt</math> | <math>X(s)= \int_{-\infty}^{\infty}x(t){e^{-st}}\, dt</math> | ||
| − | <math>X(s)= \int_{-\infty}^{\infty}{e^{-at}}{e^{-st}dt \mathit{u} (t) =1 t>0 </math> | + | <math>X(s)= \int_{-\infty}^{\infty}{e^{-at}}{e^{-st},dt \mathit{u} (t) =1 t>0 </math> |
Revision as of 11:21, 19 November 2008
== Fundamentals of Laplace Transform ==
Let the signal be:
$ x(t) =e^ {-at} \mathit{u} (t) $
On doin a Laplace Transform
$ X(s)= \int_{-\infty}^{\infty}x(t){e^{-st}}\, dt $
$ X(s)= \int_{-\infty}^{\infty}{e^{-at}}{e^{-st},dt \mathit{u} (t) =1 t>0 $
