waves

[old orchid]

Hi, i wanted to know if it was possible to use a wave and then make an equation specific to that wave and perhaps a general equation if there was one

[old orchid]

like this , i want to take a random wave , and then be able to form an equation that once plotted will get me either an approximate or exact result

[molten sonnet]

yeah look into Fourier transforms

if its specifically waves u care about they may be ideal

also if u want an exact curve. look into shannon/nyquist theorem relating to fourier transforms

i think it says number of frequency bases = 1/2 * data rate

[old orchid]

ah ive looked at the fourier series and understood that concept but i was a bit confuised by the fourier transforms

[molten sonnet]

fourier transforms are generalisation of fourier series from a fixed interval to an infinite interval

basically:
fourier series for periodic functions/finite domain
fourier transform for non-preiodic infinite domain functions
discrete fourier transform/ fast fourier transform for discrete data

if u have a non periodic infinite domain. then u will just end up with an infinite curve if u use fourier transform. useful for somethings, probably not useful or even applicable to what u are doing

[old orchid]

ah tbh i just want a section of the wave until a certain point

so finite would be the option then

[errant flicker]

Hi where can i ask for help