Comments by "EebstertheGreat" (@EebstertheGreat) on "Nyquist-Shannon; The Backbone of Digital Sound" video.

  1. soviut is clearly correct. Linus Tech TIps is not a good channel, but it's not competing on the same level as Technology Connections, so the comparison makes no sense. Linus Tech Tips is an entire team of professionals constantly generating and advertising content. This channel is the labor of love of a single hobbyist who must plan, write, shoot, and edit every video by himself in his spare time. Linus's channel is also more than twice as old, which is a huge advantage on YouTube. I mean sure, it also uses every "clickbait" tactic in the book, but that is not the basic reason it has more than 30 times the subscriber count.
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  2. +revmpandora Digital sound is certainly reproduced more accurately than vinyl, and if you are the type of person who wants to hear the track perfectly as it was intended, then digital is in that sense superior. But if you just like the sound quality your record player produces, that isn't somehow "wrong." Some people prefer the look of film even when the only way to distinguish it from digital photography is its imperfections.
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  3. The sampling theorem is not that remarkable when understood in proper context. Limiting the maximum frequency is no different from limiting the resolution for detail. That's what frequency means--the rate at which a signal changes. At a low resolution, of course you only need a few samples. Reproducing the original sinusoid in perfect detail would still require infinite frequency resolution and therefore infinite samples. In some ways, it is less surprising than the fact that holomorphic functions are analytic (and therefore every value of the function can be calculated from the values of all of its derivatives at a single point).
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  4. 12:10 I get what you mean, but you know those vertical lines are not "completely straight," right? They are quite obviously angled.
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  5. There might be physical limitations that make that necessary, but mathematically speaking, the video is correct.
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  6. 3:40 No, a perfect square wave has no vertical lines at all. The value at every point is either the maximum or minimum value, never anything between.
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  7. You can draw it however you like, but only one way is a perfect square wave.
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  8. +AutoglazzoJr It's actually very easy to define, but it isn't continuous. For instance, consider the function f:R→R defined by f(x)=1 wherever x is in [2n,2n+1) for any integer n and f(x)=0 otherwise. This is a square wave with period 2, and it is discontinuous at every integer. (It is still defined at the integers, and it is continuous everywhere else, but at the integers it is not continuous.) For obvious reasons, no actual wave can be an ideal square wave, because the value cannot change instantaneously like that. Real waveforms that resemble square waves have very steep slopes instead of jump discontinuities and high frequency, low magnitude oscillations instead of horizontal lines. The ideal waveform is just a limit as the real waveform becomes, in a sense, increasingly more square.
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