COMP 150 MDC  Fall 2016  Homework 6
Due Thursday, 27 October, 2016 in class
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 (This is a modified version of Problem 3 from Chapter 9.) Specify the
decision boundaries and representation levels for an optimal 3bit uniform quantizer
for a source that has Laplacian distribution with mean 3 and variance 4.
What is the loading factor and mean square error for your quantizer?

Find a nonuniform quantizer for the above source with lower mean square error.
 (This is a modified version of Problem 6 from Chapter 9.)
For the companding quantizer of Example 9.6.1, what are the outputs for the
following inputs:
0.8, 1.2, 0.5, 0.6, 3.2, 0.3
Compare your results with a uniform quantizer with the same number of levels
and comment on the difference. (The compressor function is 2x on [1, 1],
(2x+4)/3 for x values in [1, 4] and (2x4)/3 for x values in [4, 1].)

(This is a modified version of Problem 9 from Chapter 9.)

Plot the ratedistortion function for a Gaussian source with mean zero and variance 2.

Assuming fixedlength codewords, compute the rate and distortion for
1, 2, and 3bit pdfoptimized nonuniform quantizers for this source.
Mark these points on the above graph as x's.

For the 2 and 3bit quantizers, assume that the quantizer outputs are
entropy coded. Plot the corresponding points on the above graph as o's.