Assignment:
A continuous information source has a zero-mean, unit-variance Gaussian distribution. This source is quantized using a uniform symmetric quantizer, where the length of the quantization regions is unity. The number of quantization levels is N. For N = 2, 3, 4, 5, 6, 7, 8, determine the entropy of the quantized source output and plot I as a function of N. On the same graph, plot log2N versus N and explain why the two curves differ.
Provide complete and step by step solution for the question and show calculations and use formulas.