bluegaspode;694580 Wrote: 
> 
> I obviously never cared about how DA converters work, based on the
> paper I now think of thousands of  of sinc-producing circuits which all
> add up to the final waveform. 
> Probably this is not how it works in practice but this a missing link
> for me now to agree that Nyquist theorem and good circuits is all that
> we need.


We have to do away with a huge misunderstanding here, I believe.
This article is NOT about how a DAC should work, which technology is
best and what kind of limitations practical recording and playing
equipment may have.

All of this has nothing, really NOTHING to do with the topic at hand.
It just doesn't matter how good or bad the DAC or the ADC or the
speaker or the microphone is. All of this has absolutely NOTHING to do
with the storage format for the music.


All that Nyquist/Shannon says is: if you have a frequency X, which is
the maximum frequency you are interested in (here: the highest
frequency you could probably ever hear), then if you use a sampling
frequency of 2*X to store your sampled data, then ALL information
contained in the signals below X will be in included in the information
you store. There is NO additional information you get by using a higher
sampling frequency. Nothing. All you get is additional information
about frequencies ABOVE X but not below, the information on the
frequencies below X is already there and it's complete.


What we have to understand here, is that this has nothing to do with
any imperfections in the recording or playback process, these will of
course be there, but if your recording is crap, i won't get better just
because you STORE more of it and at a higher sample rate. And if your
DAC is distorting, then it will not get any better just because you
throw higher frequencies at it - to the contrary, the article implies
it's getting actually WORSE because of effects letting distortions from
the higher frequencies leak into the lower frequency spectrum.
To be clear: this is NOT "missing information" that was just not
recorded due to the low sample rate, it's DISTORTED information due to
the bad reproduction process in the DAC.


What the article does NOT say is that it doesn't make sense to use
different sample rates or sample sizes for processing. It can make
sense to use something different while processing your data, for
example because of limitations of the technology you use. A good
example is the 24 bit sample size used in the Squeezebox internally.
This makes perfect sense because what the Squeezebox does is it does
digital processing to change the volume. If you stick to 16 bit data,
you would get rounding errors and information losses due to this
processing that you can avoid if you go to 24 bit in processing.
But it does NOT mean, that anything gets better if the data you throw
at it is already 24 bit.

To use a somewhat different analogy: When a bank calculates interest,
it will use 4 additional digits behind the cent (so 1$ is 1.00 0000 for
them). Why? Because if you get, for example, 1% of interest for your
dollar per year and that interest is paid monthly, the monthly interest
you get would amount to 0.00 0833 ct. If you round that, you just get 0
so you would never get any interest which would be plain wrong because
to calculate things right, they will have to pay you 1 ct per year.
HOWEVER, they will never actually PAY you 0.0833 ct because there is no
such thing. and your Dollar doesn't get any different just because you
write it as 1.00 0000 $, it's still exactly the same thing as 1$ and
actually everything behind the last cent digit has no meaning at all
(or it would already be a rounding error).


Likewise, nobody says that there will be no way to invent some fancy
technology that does a more accurate recording of the analog audio
signal at 2 MHz sample rate and this can be superior to a 16 bit 44.1
kHz microphone.
HOWEVER: If you then take the digital output of that hypothetical
processor and down-convert it to 44.1 kHz samplerate audio, then for
all frequencies below 22.05 kHz, there will be NO, not even the
slightest loss of information.
So it doesn't make sense to STORE and TRANSMIT the data at higher
frequencies.

There are a few good arguments for 48 kHz, most notably that since it's
common to use 96kHz or 192 kHz equipment in processing (remember: it can
STILL make a lot of sense to do PROCESSING at higher frequencies,
especially in the digital domain) you get pretty much simplified
up/downsampling logic.
I can't argue about 24 vs. 16 bit, that does indeed depend on the
actual dynamic range you can record and reproduce and I don't know
where technology is here, purely from an information  theory
standpoint, 24 bit word size DOES contain more information than 16 bit
word size, that's different from the sample rate thing.


Now there is a third thing, and that's the "trust your ears" thing.
1. Yes, you should, because in the end it's all that matters
2. Normal people do that but as of my experience, audiophile's don't.
They just trust the money or some other rationale, otherwise they would
not be so opposed to double-blind tests.

The problem with "trust your ears" is also two-fold:
1. It has nothing, really nothing, to do with all we've discussed
above.
2. It can lead to unexpected results.

What you PERCEIVE as superior sound does not have to be the sound that
has the higher similarity to the original signal. All of what we
discussed about above only spoke about how similar the signal you are
reproducing is to the original sound as it was mastered. It says
nothing about how GOOD that actually sounds.

One extreme example: if you compare 128kbps mp3 compressed audio (lame
codec at high quality) to the original file and you do that across a
large sample of songs and on good equipment, your chances are somewhat
high that you are able to discriminate between the two signals.
What that means is: when you do an ABX test and X is either A or B and
you don't know what either is you have a pretty high chance to say
whether X is actually A or B.

Now if you ask an ENTIRELY DIFFERENT question: you ask whether A or B
sounds BETTER, you have about a 50% chance to find mp3 to sound better
than the original file. If you have good hearing, your chances to
prefer mp3 are actually a bit HIGHER (because most hearing defects
destroy the psychoacoustic masking mp3 uses to one extent or the
other.
The same can of course hold true of a 192kHz sample rate with
reproduction artifacts coming from ultrasonic frequencies just that if
you KNOW what you are listening to you will say "yes, that mp3 degraded
the quality" while with the HD stuff you say "oh yes, that additional
samplerate added more detail".

Chances are very high that if you hear more "detail" due to inaudible
processing difference it's because that "additional detail" just wasn't
there in the original recording and made up by your equipment.


To sum up: 
1. It CAN make a lot of sense to use whatever technology gives you the
bet result in creating a digital representation of an analog signal, if
this involves high frequencies, so be it, but you always have to be
aware that the opposite can be true as well.
2. For STORAGE and TRANSPORTATION of data, it's perfectly fine to
downconvert this to for example 48kHz or 44.1 hKz samplerate, since you
di this in the digital domain you don't even have losses due to bad
equipment, inaccuracies or whatever, you will lose no, no theoretical
and no practical information about the audible frequency range.
3. When you are reproducing (playing) the audio then, again, what is
the best technology available to you can depend on a lot of technical
details. Evidence from the article above seems to indicate that using
ultrasonic frequencies in your samples makes things worse, not better,
but in the end all of this will be up to the engineer developing the DA
conversion system. But again: for all of this it makes NO difference
whether the material you throw at it is 48 or 96 kHz, except maybe for
some practicality reasons (not having to transcode data at some source)
but that's pure handling and has no impact on quality, if it does, the
DAC designer has made a really bad job.


-- 
pippin

---
see iPeng, the Squeezebox iPhone remote and 
*New: iPeng for iPad*, at penguinlovesmusic.com
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