Module 3.3 Quantization

Uniform Quantizer:

When ,

as shown ,

then

 

Since

(obtained by substituting for )

then

constant step size

=

or,
   

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;

Then

A b-bit quantizer can represent J output levels as

quantization step size .

Hence MSQE SNR for uniform quantizer

=10 log( )