UGC NET CSE | June 2016 | Part 3 | Question: 58

Question

Consider a discrete memoryless channel and assume that H(x) is the amount of information per symbol at the input of the channel; H(y) is the amount of information per symbol at the output of the channel. H(x $\mid$ y) is the amount of uncertainty remaining on x knowing y; and I(x;y)is the information transmission. Which of the following does not define the channel capacity of a descrete memoryless channel?

• A. max I(x;y); p(x)
• B. max [H(y)-H(y $\mid$ x)]; p(x)
• C. max [H(x)-H(x $\mid$ y)]; p(x)
• D. max H(x $\mid$y); p(x)

Answer 1

right answer is D

Answer 2

The channel capacity of a discrete memoryless channel is defined by:

C = max  I(X; Y ) p(x)

= max  [H(Y ) − H(Y |X)] p(x)

= max [H(X) − H(X| p(x)

http://www.unilim.fr/pages_perso/vahid/codage/ch3_capacity.pdf

Answer 3

Channel capacity of discrete memory less channel is defined by C=

       max I(x;y)p(x)

       max[H(y)-H(y/x)] p(x)

       max [H(x)-H(x/y)]p(x)

option (D) does not define the channel capacity of a discrete memory less channel.

So option (D) is ANS