Comments on: Understanding the Nyquist Limit http://www.algorithm.co.il/blogs/math/understanding-the-nyquist-limit/ Algorithms, for the heck of it Tue, 21 Jun 2011 21:07:08 +0000 hourly 1 http://wordpress.org/?v=3.1.3 By: Ilan http://www.algorithm.co.il/blogs/math/understanding-the-nyquist-limit/#comment-27 Ilan Wed, 10 Sep 2008 19:12:32 +0000 http://www.algorithm.co.il/blogs/index.php/math/understanding-the-nyquist-limit/#comment-27 Cute!!! Hey, Imri, funny lights going in your head, hehehe. ;o) I just did it the boring way: plotting sample points (in the time domain: -1.0, 1.0, -1.0, 1.0) and, well, it's just plain obvious that you can't force a _lower_ frequency sinusoid through these points, exactly two samples per cycle, and somehow it just makes sense (to me) that this is precisely the "amount of information" retained in those sample points, and that they cannot define a higher frequency, either. Hmm? (Perhaps an argument based on symmetry?) Say, can you relate this curiosity to the ECC theorems/proofs, too? Y'know, error detection and correction codes, Solomon-Reed, de Bruijn sequences, that stuff... oy, I forget my CS (way fascinating, but, eh, never did have the brains for it). Where's my Wikipedia?! (I've gotta try this Google App Engine toy!) Cute!!!

Hey, Imri, funny lights going in your head, hehehe.
;o)

I just did it the boring way: plotting sample points (in the time domain: -1.0, 1.0, -1.0, 1.0) and, well, it’s just plain obvious that you can’t force a _lower_ frequency sinusoid through these points, exactly two samples per cycle, and somehow it just makes sense (to me) that this is precisely the “amount of information” retained in those sample points, and that they cannot define a higher frequency, either. Hmm? (Perhaps an argument based on symmetry?)

Say, can you relate this curiosity to the ECC theorems/proofs, too? Y’know, error detection and correction codes, Solomon-Reed, de Bruijn sequences, that stuff… oy, I forget my CS (way fascinating, but, eh, never did have the brains for it). Where’s my Wikipedia?!

(I’ve gotta try this Google App Engine toy!)

]]> By: kirai http://www.algorithm.co.il/blogs/math/understanding-the-nyquist-limit/#comment-26 kirai Wed, 17 Oct 2007 15:09:54 +0000 http://www.algorithm.co.il/blogs/index.php/math/understanding-the-nyquist-limit/#comment-26 maybe is not rigorous but is the best and simplest Nyquist explanation I've ever read. Thanks! and keep up with good work! :) maybe is not rigorous but is the best and simplest Nyquist explanation I’ve ever read. Thanks! and keep up with good work! :)

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