I understand the real number portion of it but I know there's something that has to do with complex numbers and things
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in reply to @mintexists's post:
why? (what are you looking into where they came up / is there any applied domain in particular you're working in?)
I've seen some vague things about using them to draw arbitrary images made from curves and I want to try doing such. I also find the idea of using them for audio reconstruction really interesting!
oh, neat! for the image domain ... try checking out some of Fred's resources for explaining how they work, I've found them very helpful over the years for doing image analysis and manipulation: http://www.fmwconcepts.com/imagemagick/fourier_transforms/fourier.html
I've got dozens more links concerning FFT/DFTs and images on my desktop, I'll send em over later if this actually seems relevant. for audio I can't help much, but that seems to be the more normal way people use FFTs :)
https://cohost.org/nago-/post/5363658-random-reading-on-di - just a giant jumble of links but maybe something useful to you in there if you skim. or maybe not! GLHF
in reply to @mintexists's post:
This is a pretty good visual explanation imo
For me, the key insight is that it's just rewriting a function on a basis made of complex exponents -- so all the funny complex properties show up as a consequence of how they affect the exponent
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