9.

PART C

a. Derive the relation between H(X) and h(X), for a continuous random variable X. (4) 0.

For a random variable A with uniform distribution I/p on the interval from -p/2 to p/2, (4)
calculate the entropy.

c. State the properties of relative differential entropy and conditional differential entropy. (4)
a. Mathematically define a (2n R, n) code. Explain its features. (5)

0. Derive shannon's limit for band limited gaussian channels. (4)
c. Briefly explain Rate distortion based on channel coding.(3)

a. Derive the channel capacity of a coloured Gaussian channel using water filling (6) algorithm.

b. Derive the Rate distortion measure based on single bit quantization of continuous (6) signals.

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