Use the probability density function of Problem 4.14a.
a. Design the four-level optimum-uniform quantizer. Calculate the mean square error and the entropy of the output.
b. Design the four-level Lloyd-Max quantizer (or the compandor) and calculate the mean square error and the entropy of the output.
c. If the criterion of quantizer performance is the mean square error for a given entropy of the output, which of the preceding two quantizers is superior?