Why we use Fourier transform instead of Laplace transform?
We can say that Fourier transform is a subset of Laplace transform. The Laplace transform is essentially helpful for solving differential equations, since most of any differential equation’s solution will contain exponential and sinusoidal parts. The solution can be more easily express and understand in the s domain.
Why Fourier transform is used in circuit analysis?
Abstract: Fourier transforms are very valuable for the analysis of the behavior of passive circuits when the driving force is frequency modulated.
What do you use Fourier transforms for?
The Fourier Transform is an important image processing tool which is used to decompose an image into its sine and cosine components. The output of the transformation represents the image in the Fourier or frequency domain, while the input image is the spatial domain equivalent.
What’s the difference between a Fourier transform and a Laplace transform?
What is the difference between fourier transform and laplace transform in terms of analyzing an overall circuit? I don’t quite understand. Thanks for contributing an answer to Electrical Engineering Stack Exchange!
Is there a discrete version of a Laplace transform?
Laplace transform gives you solution in terms of decaying exponents so it is quite useful in relaxation processes, but it has no physical interpretation, usually no invariants are connected to any “vectors” of such representation, there is no discrete version of such transform with physical meaning.
Why are poles and zeros important in Laplace transformation?
For control systems engineering, stability of electrical networks, etc., Laplace transformation defines a more natural transfer function, and is easier to deal with, and the poles and zeros would immediately tell you about the stability of the network under consideration.