Motivation for the laplace transform CT Fourier transform enables us to do a lot of things, e.g Analyze frequency response oflti systems Sampling Modulation Why do we need yet another transform? One view of Laplace Transform is as an extension of the Fourier transform to allow analysis of broader class of signals and systems particular, Fourier transform cannot handle large(and important) classes of signals and unstable systems i e. when• CT Fourier transform enables us to do a lot of things, e.g. — Analyze frequency response of LTI systems — Sampling — Modulation # Motivation for the Laplace Transform • In particular, Fourier transform cannot handle large (and important) classes of signals and unstable systems, i.e. when • Why do we need yet another transform? • One view of Laplace Transform is as an extension of the Fourier transform to allow analysis of broader class of signals and systems