# Question: Following the lead design an optimum 2 bit quantizer for

Following the lead design an optimum 2- bit quantizer for a signal whose samples follow a triangular PDF,

(a) Find the four quantization levels, { y1 ,y2 ,y3 ,y4}, and the three boundary points, { x1, x2, x3}.

(b) Find the mean- squared distortion, d.

(c) Find the signal- to- quantization- noise ratio in dB.

(a) Find the four quantization levels, { y1 ,y2 ,y3 ,y4}, and the three boundary points, { x1, x2, x3}.

(b) Find the mean- squared distortion, d.

(c) Find the signal- to- quantization- noise ratio in dB.

## Relevant Questions

Suppose a source sends symbols from a three letter alphabet with X Ɛ {a, b, c} and Pa = 1/ 2, Pb = 1/ 4, Pc = 1/ 4 are the source symbol probabilities. (a) Determine the entropy of this source. (b) Give a source code that ...Imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter. You are told by a mysterious voice that one door leads to the outside after a 2- h trip through a maze. However, the ...Find an expression for the m th moment of an Erlang random variable whose PDF is given by for some positive integer n and positive constant b. For a Gaussian random variable, derive expressions for the coefficient of skewness and the coefficient of kurtosis in terms of the mean and variance, µ and σ2. Find the variance and coefficient of skewness for a geometric random variable whose PMF is You may want to use the results of Exercise 4.13.Post your question