Sampling/Time Resolution - In search of sources Options

[FreaqyFrequency]

Greetings all,

I've been lurking on these forums for about the last year, and I finally signed up today to pick the brains of some of the more knowledgeable individuals here.

On Saturday, I'm giving an 8 minute informative speech on the essential elements of digital audio (PCM to be exact, leaving DSD out given the time limit), why it was a logical progression from analog recording and storage technology, and a brief sketch of lossy/lossless implementations of it.

My primary objective at this point is to get a rock solid source, stating that (and why) any sampling rate is able to capture a given bandlimited source with perfect time resolution (ignoring frequency response and filtering in this case, dealing only with time). I was encouraged to touch upon this point in particular because of a presentation I found on YouTube a few months back, whose essential message was "Digital is bad because you hear the music as packets rather than as an analog waveform" and was advocating that everyone dispense with their digital media and go get a turntable and vinyls. My intent is to disprove the "packets" notion, and this source is the closest I have seen to doing that as of now:

http://www.tonmeister.ca/main/textbook/node639.html

If anyone could supply further documentation (or their own findings/conclusions on the matter), that would be most appreciated. Thanks!

[MichaelW]

As the thread has been resurrected, and as the misconception it addresses is not likely to go away, it occurs to me (alas, mathematically illiterate) that a way to explain the basic point to the mathematically illiterate would be to start with the way that two points define a straight line and its extensions, three points a circle.

That should help to get over the difference between little bursts, as opposed to points defining a signal. You need to explain that first, you have to know the form of the line before you know how many points define it; but luckily, thanks to M. Fourier, we know we can work with sine waves.

Then on to frequency limits and the real stuff.

I hope I have got that right. My point in posting is that most people here know so much (but don't normally teach) that they find it hard to think their way back to just how basic you have to make things for beginners.

HTH