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mildsunrise@tech.lgbt
mildsunrise@tech.lgbt

i made my friend a chart about the different Fourier transform variants blobcatgiggle

title: The Fourier transform and its friends it's a 2 by 2 table, where rows and columns describe different things about the input accepted by the transform in the cell: rows describe whether the input is continuous (you get to supply values at any real number) or discrete (you can only supply values at specific, usually integer, times). columns describe whether the input is infinite (you get to supply your own values for all times from -∞ to ∞) or periodic (you only get to supply values for a finite interval of time, which is understood as a period of a periodic signal). the cells are: - continuous + infinite: Fourier transform (most general case! mathematical OG!) - continuous + periodic: Fourier series - discrete + infinite: Discrete Time Fourier Transform - discrete + periodic: Discrete Fourier Transform (the one we can fully compute! efficiently, even!)

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sol_hsa@mastodon.gamedev.place
sol_hsa@mastodon.gamedev.place

@mildsunrise could also label them as "this is the one we want" and "this is the one we get" =)

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lisyarus@mastodon.gamedev.place
lisyarus@mastodon.gamedev.place

@mildsunrise Ah yes the fourier transform on Z_p, Z, R and R/Z!

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mildsunrise@tech.lgbt
mildsunrise@tech.lgbt

@sol_hsa lmao that's a nice idea

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aroma@ohai.social
aroma@ohai.social

@mildsunrise where's the furry transfem?

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MxSpoon@tech.lgbt
MxSpoon@tech.lgbt

@mildsunrise
Thanks, but I have no idea what Fourier transformation is and at this point I am afraid to ask

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mildsunrise@tech.lgbt
mildsunrise@tech.lgbt

@MxSpoon it decomposes a signal into a sum of tones of different frequencies! pretty cool neocat_aww

also if you do it another time you get the signal back

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In reply to
MxSpoon@tech.lgbt
MxSpoon@tech.lgbt

@mildsunrise aye!

I love how self referential the wikipedia page is though that has been my experience with it in academic context as well. Just feels like someone forgot to explain it but I've gotten this far without making an effort so why start now?

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