Member level 2
the subject makes itself clear. i need a thorough discussion of how these 2 important transformations are related. when do we use laplace transform when do we use fourier?
thuvu said:LAPLACE you use when you have an initial state in your system. It covers both transient and steady state responses.
FOURIER you use when you care only for the steady state.
To visualise that look at the attached figure, the RHS is Laplace transform , by putting sigma = 0; we will get Fourier transform.