Response to the following problem:
Let's look at the rate distortion performance of the various quanitzers.
(a) Plot the rate-distortion function R{p) for a Gaussian source with mean zero and variance a σ2x = 2.
(b) Assuming fixed length codewords, compute the rate and distortion for 1, 2, and 3 bit pdf-optimized nonuniform quantizers. Also, assume that X is a Gaussian random variable with mean zero and a | = 2. Plot these values on the same graph with x's.
(c) For the 2 and 3 bit quantizers, compute the rate and distortion assuming that the quantizer outputs are entropy coded. Plot these on the graph with o's.