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 3-bit 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
-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 (2x-4)/3 for x values in [-4, -1].)
(This is a modified version of Problem 9 from Chapter 9.)
Plot the rate-distortion function for a Gaussian source with mean zero and variance 2.
Assuming fixed-length codewords, compute the rate and distortion for
1, 2, and 3-bit pdf-optimized nonuniform quantizers for this source.
Mark these points on the above graph as x's.
For the 2 and 3-bit quantizers, assume that the quantizer outputs are
entropy coded. Plot the corresponding points on the above graph as o's.