Frequency domain ----> deals with jw

Laplace domain ----> deals with s, but s = (sigma) + ( jw )

so with sigma = 0, laplace domain and frequency domain are the same.

We convert time domain to either laplace domain or frequency domain to

study various signal processing system properties.

For example: A RLC circuit can be tested for stability using laplace domain techniques.

We find the closed loop differential equation and transform it into laplace

domain. By relating the input and output, we find the closed loop transfer

function. By locating the position of poles from the obtained s-domain

function, we can assess stability of the circuit.