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?
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
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