Question

What is the difference between Laplace Transform and fourier Transform???

Answer 1

Fourier is a subset of Laplace. Laplace is a more generalized transform.

Fourier is used primarily for steady state signal analysis, while Laplace is used for transient signal analysis. Laplace is good at looking for the response to pulses, step functions, delta functions, while Fourier is good for continuous signals.

Transforms are used because the time-domain mathematical models of systems are generally complex differential equations. Transforming these complex differential equations into simpler algebraic expressions makes them much easier to solve. Once the solution to the algebraic expression is found, the inverse transform will give you the time-domain repsponse.

Answer 2

thanks sam