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Electronic Equipment > Digital Signal Processing (DSP) > Re: Noise Shapi...
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Re: Noise Shaping and Clipping

by robert bristow-johnson <rbj@[EMAIL PROTECTED] > Oct 13, 2008 at 10:50 AM

On Oct 13, 6:11=A0am, Randy Yates <ya...@[EMAIL PROTECTED]
> wrote:
....
>
> Note also that a 1-bit quantizer ALWAYS saturates!

an im****tant point to repeat.

because of that and that the quantizer is only one step of what would
be a staircase function if it was more than 1-bit, since there is no
other steps in the staircase, you cannot infer a gain from the slope
of the staircase if you were trying to model the quantizer as an
additive noise source.  then it's a little harder to infer the
effective gain of the quantizer (which is something like the mean
absolute value of the input times delta/2, half the step size, divided
by the mean square of the input).

the other im****tant fact to remember is that if you were to put a
linear gain stage (with a positive gain coef) before the 1-bit
quantizer (a.k.a. a comparator), the inherent gain of the comparator
would absorb whatever positive gain you insert.  we know this because
we know that the comparator output would be unchanged (still +/- delta/
2).  if the inherent gain of the comparator did not absorb any
preceding gain, then the linear model of the delta-sigma modulator
would change (and get better) with increased loop gain.  but we know
that increasing the gain there at that part of the loop cannot change
anything.

r b-j
 




 5 Posts in Topic:
Noise Shaping and Clipping
Vladimir Vassilevsky <  2008-10-12 10:00:56 
Re: Noise Shaping and Clipping
Greg Berchin <gberchin  2008-10-12 11:54:18 
Re: Noise Shaping and Clipping
Andreas Huennebeck <ac  2008-10-13 09:14:15 
Re: Noise Shaping and Clipping
Randy Yates <yates@[EM  2008-10-13 06:11:07 
Re: Noise Shaping and Clipping
robert bristow-johnson &l  2008-10-13 10:50:40 

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tan12V112 Mon Dec 1 8:14:22 CST 2008.