How to do Fourier Integrals on the HP Prime?

[Stevetuc]

(12-08-2019 03:43 PM)medwatt Wrote:  

(12-08-2019 03:30 PM)Stevetuc Wrote:  Thanks for your response. I simply followed the Fourier Transform examples in the AUG. You mentioned in your first post that "The HP 50g can do Fourier Transforms". I assume you have 50g code examples that cover the cases you mention above. Can you share them?

It was actually a mistake. I assumed the 50g can do Fourier Transforms because I saw a function called "Fourier". Apparently, it's just Fourier Series. I find it ironical that the Prime's CAS is based on Giac/Xcas whose website is: https://www-fourier.ujf-grenoble.fr/~parisse/giac.html. The website literally has "Fourier" in it and you would expect that a function for the Fourier Transform is implemented, but it isn't. I can't understand why HP ignores FT. It's super important for people in Electrical Engineering.

Agreed.
The Laplace Transform on the prime is singlesided, but the integration method I also showed can be used from -inf to +inf
Problems arise with evaluating a dc value over this range. It is not integrable as result is infinite. Standard methods multiple with a dirac function to allow integration.
https://youtu.be/uQkCar2SbVY
Then

Code:


1/(√(2*π))*int(dc*Dirac(t)*e^(-i*w*t),t,-∞,∞)

Gives result

Code:


dc/√(2*π)