View source for Laplace Transform Definition - Vishal Ramani - Rhea

== Laplace Transform ==

The Laplace Transform of any signal '''<math>x(t)</math>''' is....

 <math>X(s) =\int^{-\infty}_{\infty} x(t)e^{-st} dt</math>

The difference between '''Laplace Transforms(L.T.)''' and '''Fourier Transforms(F.T.)''' is that the '''F.T.''', '''X(w)''', of a signal, '''x(t)''', is simply the '''L.T.''', '''X(s)''', restricted to "'''s'''" being purely imaginary.