TerraMortim said:
The fact is totally correct, the closer together you sample something audio OR visual, the better resemblance it'll have to the original
We're Getting The Bandwidth Back Together
This is true only when assuming an unlimited bandwidth. When there is a limit to the required bandwidth, then there is a limit to the required sample rate in order to 100% reproduce it accurately.
If we assume a 20kHz upper limit to the audible bandwidth (more on that number in a minute), then there is an upper limit to the sample rate required to 100% accurately reproduce it That limit is the Nyquist frequency. An 88kHz sample rate does not resolve to a more accurate representation of a 20kHz sound than a 4kHz samle rate does. The "blanks" in a 20khz sample rate are filled in equally at either sample rate; the resulting 20kHz wave is identical either way.
Do Not Connect The Dots, Do Not Collect $200
Once again, reconstrucing analog waveforms from digital is not done by connecting points between samples. There are no actual "blanks" to fill in at that point. There is no "drawing of lines" from time slice to time slice. Instead the waveform is built up via a summing of mathematical
analog waveform functions. The wave is - in a fashon - "grown" from the ground up, with it's analog contours intact the entire way; the final shape determined by the number of component functions that are summed together. It's pure math and pure waveform theory at that point, and of a nature that has nothing to do with connecting points or filling in apparent gaps between sample rates.
What I think throws people off in that regard is the *visual* representation of time slicing itself. It deeply implies that the conversion of digital to analog is indeed a conversion of stairsteps into slopes. This implies the connection of dots or the filling in of gape between the stairsteps, and that a higher sample rate gives a finer stairstep resolution. This may be an easy way to explain it on a "D/A 101" teaching level, but it's actually a VERY erroneous description of the actual process that's taking place.
Why You Should Not Connect The Dots
For proof, look at it by trying to prove the connect-the-dots, sample rate as resolution idea. Everybody agrees that 44.1kHz gives at least a fairly accurate representation of a 20kHz signal right? One may (wrongly, but we'll ride along with that for a minute) believe that a higher sample rate may yield a slightly "finer" 20khz signal, but nonetheless, 44.1kHz is at least adequate, right?
Not according to the connect the dots/resolution view of sample rates. According to that viewpoint, there's no way that a 44.1kHz sample could even come close to accurately representing 20kHz. How could it?
It's only taking samples (slightly more than) twice per entire wave cycle. It's almost infinitely probable that those samples will fall elsewhere on the wave than the points where the wave crests. If we were to just draw lines between those sampled points, we'd have a waveform of entirely incorrect amplitude - possibly even zero amplitude if the two sample points happened to fall on the zero crossing points of the full wave cycle. Not only that, we'd have a triangle wave instead of a sine. The resulting reconstruction would be so incorrect and so inadequate as to be totally useless.
In fact, by that theory, a 44.1kHz sample rate would be pretty awful even for resolving a 4khz signal. There'd only be about 10 sample per wave. That's only 5 samples per crest and trough. Assuming one sample each at each peak, that leaves only two samples on each slope of the wave with which to reconstruct the wave. That's an awfully low quality reconstruction that would be audibly distorted. It would be twice as bad at 8khz and 4 times as bad at 16khz. Let's face it; a 44.1kHz sample rate would be pretty useless in terms of fidelity reconstruction for the majority of the audio spectrum.
Yet that's not the case. 44.1kHz can make pretty darn good reconstructions all the way up to 20kHz. Nobody disputes that. So what's the problem? The problem is that the connect the dots idea of waveform reconstruction is simply a false idea. It's just not done that way. This also renders as equally invalid the idea of "resolution" meaning anything other than frequency response.
Y20k?
Now you mention that 20kHz may not be a fair upper limit. I addressed this in a earlier post. Even those that fall on the side of thinking that there is an elusive "air" to be obtained by resolving some frequencies above 20kHz or so - and that is an honest debate which not even the "experts" agree upon - don't believe that frequencies anything above 30khz are useful. That would mean a sample rate of 66.15kHz or so. The fact is, that even for those golden ears and audiophiliacs, 88.2kHz is overkill already by a good 22kHz. A 96kHz rate is just piling on, and 192kHz is ridiculously obscene.
So perhaps, PERHAPS, one might argue that the next steps up from 44.1kHz - namely 48kHz and 88.2kHz might have some worthiness in audiophile-class recordings. But that is certainly debatable - the experts debate it all the time - and certianly not solidly backed up by expirimental data from actual controlled listening tests. Test after test has yield, at best, conflicting or inconclusive results. It is also not backed up when looking at the limitations of the rest of the signal chain from microphone to loudspeaker, which simply are not designed to give a rat's ass about those higher frequencies.
G.