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If anyone is interested in more of the mathematics, I have a few posts on Fourier Analysis (starting with four lengthy posts here: http://jeremykun.com/primers/
by j2kun 13y ago
If anyone is interested in more of the mathematics, I have a few posts on Fourier Analysis (starting with four lengthy posts here: http://jeremykun.com/primers/ http://jeremykun.com/primers/ ) and a follow-up on actually deriving and computing the FFT here: http://jeremykun.com/2012/07/18/the-fast-fourier-transform/ http://jeremykun.com/2012/07/18/the-fast-fourier-transform/ with a (relatively misguided) application of denoising a sound bite.
My implementation is in almost pure python (except for complex number arithmetic) and it shows.
- achompas 13y agoYour primers look great! Do you have any sources for people interested in learning more about the various topics?
- j2kun 13y agoI think you mean about Fourier analysis, yes? Brad Osgood's Stanford lectures (available on YouTube) give a very good (read: steady, unassuming) approach and the lecture notes associated with that course are extremely detailed and informative if you want a deeper dive.
- achompas 13y agoYep, definitely Fourier analysis, I haven't studied it formally at all. Thanks for the pointer to Osgood's lectures. A co-worker recommended Stein's "Fourier Analysis" after a bit of work on my part. Do you have any thoughts on that text?