Andrew L.Weekes said the following on 02/01/2006 00:16:
>>Interesting. What is the equations that describe this?
>>If it is too long to post, got an URL?
> 
> 
> SNR (DBC)=–20 LOG10(2π.FIN.TJITTER), WHERE FIN IS THE
> ANALOG-INPUT FREQUENCY, TJITTER IS THE TOTAL SYSTEM JITTER IN SECONDS.
> 
> Immediately it should be clear that the fIN factor gives result
> dependant upon the sampled frequency, using the figures mentioned,
> 20,000ps gives, assuming no other system errors, 98dB dynamic range
> (non-dithered CD spec) at 20Hz, but only 51dB at 20kHz.
> 
> 100pS would meet the 20kHz non-dithered spec, but what about dithered
> input signals?
> 
> Factor in a 15dB additional dynamic range from a properly dithered
> input signal, or a 24bit system (or worse still, a wide-bandwidth
> system) and you can see things rapidly becoming much harder.
> 
> It's one reason why the newer, hi-res formats fail to live up to my
> expectations, they make the engineering, which is already bloody
> difficult, MUCH harder.
> 
> It really isn't as easy as many so called 'experts' make out, jitter
> isn't that easy to measure (to the man in the street) and even when one
> can, it's not as simple as a headline figure.
> 
> The recent volume rounding error problem of the Squeezebox gave rise to
> an error at the 16bit of the audio data - so many experts would tell you
> this is inaudible, yet people here (without knowledge of any change)
> found it wasn't.
> 
> The human ear / brain interface is a really astonishingly complex
> thing, that can at one and the same time be both amazingly sensitive,
> yet easily fooled. What it isn't is measurable, in any quantitative
> manner. No-one, anywhere, with any experiment or test, can 'prove' the
> absolute audibility or inaudibility of anything when it comes to music.
> Realising that is crucial to avoiding the often prolonged debates that
> happen around these subject areas. Whilst the maths above, for example,
> explains a mechanism for audibility, it tells you nothing at all about
> an individual's ability to hear the effects, there are few absolutes of
> 'audiblity'.

Amen.

Andy has articulated my thoughts on this matter much more clearly than I
could ever be bothered to write down!

R.

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