4.1 LAPLACE TRANSFORM

It has been found that Fourier transform can be applied to a large variety of functions. It is also widely used as a mathematical tool in engineering. Due to the restriction

 

image

 

it is impossible to apply this transform for many functions, e.g. ramp, parabolic etc. because the integral is not converging. So these kind of functions are not Fourier transformable. It is possible to handle such kind of functions by Laplace transform. The Laplace transform of a function f(t) in time domain t is given by

 

image

 

 

The notation ...

Get Signals and Systems now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.