Assignment:
Solve Illustrative Problem below with p = 0.1, 0.3, 0.7, 0.99. Compare the results and comment on the effect of p on the resulting distortion.
For a zero-mean, unit-variance Gaussian source, design optimal nonuniform quantizers with a number of levels N = 2, 3, 4, 5, 6, 7, 8. For each case determine H(X), the entropy of the quantized source, and R, the average codeword length of a Huffman code designed for that source. Plot H (X), R, and log2N as a function of N on the same figure.
Provide complete and step by step solution for the question and show calculations and use formulas.