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Results tagged with fourier-analysis
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user 2938
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
14
votes
Accepted
Why sin and cos in the Fourier Series?
$1$. Mathematical reason.
There is one reason which makes the basis of complex exponentials look very natural, and the reason is from complex analysis. Let $f(z)$ be a complex analytic function in th …
- 7,442
0
votes
Calculating fourier transform at any frequency
Here is one answer from the electrical engineering(or, image processing) point of view. However this answer much non-mathematical and more for practical illustration. Since this is a non-mathematical …
5
votes
Accepted
Complete formulas book for Communication System engineer
I would suggest "Handbook of Formulas and Tables for Signal Processing", by Alexander D. Poularikas.
This link should help you.
This is the amazon link.
- 7,442
28
votes
Fourier vs Laplace transforms
Here is a heuristic point of view from engineering considerations. I must confess I do not fully know the mathematical reasons.
Suppose you want to consider $f(t)$, a function of time, $t$. Imagine t …
- 7,442