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Sampling/Time Resolution - In search of sources
FreaqyFrequency
post Oct 4 2011, 21:36
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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! smile.gif
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drewfx
post Oct 5 2011, 17:38
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The critical piece of information to stress to "civilians" (where any mathematical explanation is likely to go either over their head, or in one ear and out the other) is this:

When the digital signal is converted back to a continuous analog wave, the stuff between the samples isn't "lost" or "averaged" or "guestimated"; it's calculated.
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dhromed
post Oct 6 2011, 10:03
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QUOTE (drewfx @ Oct 5 2011, 18:38) *
When the digital signal is converted back to a continuous analog wave, the stuff between the samples isn't "lost" or "averaged" or "guestimated"; it's calculated.


Averaging and lerping are also calculations, but no sane reconstruction filter uses them. wink.gif

What must be shown, I think, is that there are advanced mathematics and calculations that can easily obtain results beyond human perception. That it's not as simple as people think, but not as magical or subjective either.

You can attempt to explain complex idea, but as long as the person think it's gibberish rather than a internally consistent but complex thing that the person doesn't yet know about, you're not really educating him. In other words, first you have to make them understand that they don't understand, then make them understand that they could understand given time, and then explain it all.

If someone comes in saying "I know nothing!", that's your cue.
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Posts in this topic
- FreaqyFrequency   Sampling/Time Resolution - In search of sources   Oct 4 2011, 21:36
- - saratoga   QUOTE (FreaqyFrequency @ Oct 4 2011, 16:3...   Oct 4 2011, 21:40
- - benski   http://www.dspguide.com/ch3/3.htm Another good to...   Oct 4 2011, 21:41
- - FreaqyFrequency   Wow, you guys are quick on the draw! Thorough...   Oct 4 2011, 21:56
- - C.R.Helmrich   Was about to post the link that benski already pos...   Oct 4 2011, 22:19
- - xnor   Some introductory wiki pages: Sampling Nyquist-Sha...   Oct 4 2011, 22:42
- - Speedskater   You might look through member "woodinville...   Oct 4 2011, 23:21
- - knutinh   It is called Shannon-Nyquist sampling theoreme, an...   Oct 5 2011, 01:44
- - Axon   All I can suggest is to read this section from the...   Oct 5 2011, 02:23
- - FreaqyFrequency   Again, many thanks for all the replies, extremely ...   Oct 5 2011, 03:14
|- - dhromed   QUOTE (FreaqyFrequency @ Oct 5 2011, 04:1...   Oct 5 2011, 09:25
|- - db1989   I, too, like that analogy—and dhromed’s! Thi...   Oct 5 2011, 19:54
- - drewfx   The critical piece of information to stress to ...   Oct 5 2011, 17:38
|- - benski   QUOTE (drewfx @ Oct 5 2011, 12:38) The cr...   Oct 5 2011, 18:02
|- - dhromed   QUOTE (drewfx @ Oct 5 2011, 18:38) When t...   Oct 6 2011, 10:03
- - FreaqyFrequency   That is a great analogy, and analogies will be a s...   Oct 5 2011, 19:02
- - DVDdoug   QUOTE When the digital signal is converted back to...   Oct 6 2011, 00:03
- - krabapple   If you want to see the sorts of trainwrecks that h...   Oct 6 2011, 01:22
|- - 2Bdecided   QUOTE (krabapple @ Oct 6 2011, 01:22) If ...   Oct 6 2011, 12:42
- - Woodinville   The time resolution of a PROPERLY reconstructed PC...   Oct 8 2011, 03:12
|- - Woodinville   QUOTE (Woodinville @ Oct 7 2011, 19:12) T...   Oct 9 2011, 00:04
|- - Northpack   QUOTE (Woodinville @ Oct 8 2011, 03:12) T...   Oct 9 2011, 11:28
|- - Woodinville   QUOTE (Northpack @ Oct 9 2011, 03:28) Tha...   Oct 9 2011, 11:45
- - FreaqyFrequency   Thank you very much JJ, I've been following yo...   Oct 8 2011, 17:33
- - FreaqyFrequency   So I was flipping through some of my documents as ...   Feb 12 2012, 23:47
- - MichaelW   As the thread has been resurrected, and as the mis...   Feb 13 2012, 01:48
- - 2Bdecided   QUOTE (MichaelW @ Feb 13 2012, 00:48) two...   Feb 13 2012, 16:12
- - knutinh   QUOTE (2Bdecided @ Feb 13 2012, 17:12) On...   Feb 13 2012, 22:21
- - MichaelW   QUOTE (2Bdecided @ Feb 14 2012, 04:12) Pr...   Feb 13 2012, 23:02


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