Assignment:
Q1. Design an optimal 8-level quantizer for a Laplacian source and plot the resulting mean-square distortion as a function of λ as λ changes in the interval [0.1, 5].
Q2. Design optimal nonuniform quantizers with N = 2, 3, 4, 5, 6, 7, 8 for the Laplacian source given in Problem with A = .J2 (note that this choice of A results in a zero-mean, unit-variance Laplacian source). Plot the mean-square error as a function of N for this source. Compare these results with those obtained from quantizing a zero-mean, unit-variance Gaussian source.
Provide complete and step by step solution for the question and show calculations and use formulas.