adamdea;675629 Wrote: 
> 
> 
> "It doesn't prevent the distortion.  It just moves the harmonic
> components out of band."  
> 
> ....is just plain WRONG: there are no harmonic components of the
> quantisation error after it has been dithered.
> 

For the most part, I think we agree on what dithering does, but here is
where I fundamentally disagree.  Read carefully what was said in the
link you posted ...
"
This result arises because the added noise breaks up the tendency for
every sinewave cycle to be distorted into exactly the same (incorrect)
shape as all its neighbours. A regular and repetitive distortion is
replaced by a noise background. 
"
Dithering doesn't prevent or fix the distortion of an individual
sample.  It just causes the distortion to vary randomly so that it is
less noticeable.  The distortion is randomized.  To me that is a huge
difference.

Let's get back to basics for a moment and forget all of this dithering
and FFT stuff.  
Sound is the compression and rareification of air molecules.  The
instruments cause vibrations that compress the air.  This is amplitude
modulation.  The loudness of the instruments is amplitude modulated on
the air.  It is not frequency modulated at all.  The frequency just
comes about as the rate at which the amplitude varies.
It is the job of our recording and playback system to capture the
amplitude variations of the compression waves, store them, and later
play them back as exactly as is possible.  There are many ways to do
this.  We could let the compression waves impinge on a diaphragm that
vibrates with an amplitude that is proportional to the wave amplitude,
and let that diaphragm modulate a needle that cuts a vibrating groove
into a wax cylinder. Later we could reverse the process and let the
wiggles in the wax amplitude modulate a diaphragm that amplitude
modulates the air to form identical compression waves to those we
started with.  If the compression waves we recreate are identical to
the ones we recorded, then we have a Hi-Fidelity audio system.
I don't mean to imply that you have to stay with amplitude modulation
all the way through the system.  You could convert the amplitude
modulation to frequency modulation or digital samples, or whatever you
like, so long as what you end up with is amplitude modulation that is
identical to the modulation the instruments impinged on the air.  The
important thing is to preserve the exact amplitude vs time relationship
that we started with.
Dithering does not preserve this amplitude modulation.  It does cause
the distortion due to limited sampling resolution to be much less
noticeable, so it does have a benefit and is an important technique.
But making the distortion less noticeable is not the same as preventing
the distortion (IMHO).  But at this point we leave the world of what we
know and enter the world of what we believe.  As you have correctly
pointed out, dithering converts the distortion components into noise,
and all systems have noise.  So now we have entered the realm of
opinions.  Some people say that 24 bits is required to faithfully
reproduce the music and keep distortion and noise below objectionable
levels.  Some say 16 bits is enough.  Some say a compressed MP3 file
sounds fine to them and there is no need for higher fidelity.
But my point is simply that dithering is a technique that changes the
distortion to make it less audible or objectionable.  It does not
prevent the distortion.  The amplitude sample is still wrong by the
same amount.  I just like to point this out when people claim that
dithering prevents distortion.
Terry


-- 
TerryS
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