Uniform Quantizer:
When |
, |
as shown ,
then

Since
(obtained by substituting for )
then
constant step size
= 
i.e. all decision and reconstruction levels are equally spaced.
Since quantization error is distributed uniformly over each step size (=q)with zero mean i.e. over , MSQE is,
Let range of be and the variance;
A b-bit quantizer can represent J output levels as 
quantization step size .
Hence MSQE SNR for uniform quantizer
=10 log( ) 
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