� in my opinion, this old version of the Wikipedia article on it was mathematically the most concise: https://en.wikipedia.org/w/index.php?title=Nyquist%E2%80%93Shannon_sampling_theorem&oldid=234842277#Mathematical_basis_for_the_theorem� then someone named BobK started the processes of fucking it up and now it is unrecognizable �it *does* require the leap of faith that the dirac delta function is a "function" (without worrying much about the "delta as distribution" stuff). �if you wanna be mathematically correct and not make a reference to the naked dirac or dirac comb, then the Poisson Summation Formula is probably the way to go, but it is not as direct conceptually as multiplying by the dirac comb as the sampling function.�https://en.wikipedia.org/wiki/Poisson_summation_formula� Nigel, i would be careful with superlative claims regarding one's own work. �it is too Trumpian in nature to be taken at face value. but i appreciate this (and your other) work. L8r, r b-j ---------------------------- Original Message ---------------------------- Subject: Re: [music-dsp] Sampling theory "best" explanation From: "Sampo Syreeni" <de...@iki.fi> Date: Sun, August 27, 2017 2:20 am To: "A discussion list for music-related DSP" <music-dsp@music.columbia.edu> -------------------------------------------------------------------------- > On 2017-08-25, Nigel Redmon wrote: > >> http://www.earlevel.com/main/tag/sampling-theory-series/?order=asc > > Personally I'd make it much simpler at the top. Just tell them sampling > is what it is: taking an instantaneous value of a signal at regular > intervals. Then tell them that is all it takes to reconstruct the > waveform under the assumption of bandlimitation -- a high-falutin term > for "doesn't change too fast between your samples". > > Even a simpleton can grasp that idea. > > Then if somebody wants to go into the nitty-gritty of it, start talking > about shift-invariant spaces, eigenfunctions, harmonical analysis, and > the rest of the cool stuff. > -- > Sampo Syreeni, aka decoy - de...@iki.fi, http://decoy.iki.fi/front > +358-40-3255353, 025E D175 ABE5 027C 9494 EEB0 E090 8BA9 0509 85C2 > _______________________________________________ > dupswapdrop: music-dsp mailing list > music-dsp@music.columbia.edu > https://lists.columbia.edu/mailman/listinfo/music-dsp > > -- � r b-j � � � � � � � � �r...@audioimagination.com � "Imagination is more important than knowledge."
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