what is the difference between Lapace and Fouier transformations?

Question

Strictly regarding electrical and mechanical engineering

Answer 1

Both Laplace and Fourier transforms are used for transformation from time-domain to freuency domain.

The basic difference between them can be understood from the transformation equations, We see that the Laplace transform can be viewed as a generalization of the Fourier transform from the real line (a simple frequency axis) to the entire complex plane. We say that the Fourier transform is obtained by evaluating the Laplace transform along the jw axis in the complex s plane.

An advantage of the Laplace transform is the ability to transform signals which have no Fourier transform.The Laplace transform can be seen as the Fourier transform of an exponentially windowed input signal

Answer 2

The Fourier transformation is really just a special case of the LaPlace transform.

For LaPlace you integrate over the s-domain, where s is a complex value.

For Fourier you integrate over the s-domain where s = jw, where w is the frequncy in radians and j is the square root of -1

Answer 3

Laplace transform integrate from zero to infinitiy while Fourier are form minus infinity to plus infinity. These days Laplace are used most often for transients and Fourier for continuious time signals.

Answer 4

Laplace and Fourier. Look them up.

Answer 5

You might find out if you knew how to spell them correctly. Try looking up "Laplace" and "Fourier".