• The convolution integral can be difficult to deal with because of the time shift. But, the Laplace transform for the convolution integral turns it into a simple multiplication.
Figure 17.35 The convolution integral in the Laplace s-domain
- the inverse Laplace transform provides the impulse response function.
- consider the example of a system. Note that the transfer function is the same as the output response for a unit impulse input.
- this is the most useful when trying to find the response to an arbitrary input.