第1题
(XY) - I(X;Y) =2H(XY) - H(X) - H(Y)
第2题
t ρ(X,Y) is the number of bits needed for X and to communicate their values to each other.
第3题
e variance of I(x;y)=0.Prove that the input assignment achieves channel capacity.
第4题
;0 and VAR[I(x;y)]=0.Calculate I(X;Y).
第6题
(xy)=αP(x)P(y)
第7题
acity?
第8题
With 0,1,as both input and output,the transition probabilites for 0 to 0 and 1 are 1-ε and ε respectively while those for 1 to 1 and 0 are 1-δ and δ respectively.Assuming that 0<ε<1 and 0<δ<1,find the capacity of the channel.
Suppose that the output of the first channel is connected directly to the input of the second with no processing between: What is the capacity of the composite channel?
第10题
Consider the following channel(is shown in Fig.3.26) is (1/2,0,1/2) an input distribution that achieves capacity?
Show that I(X;Y)=H(Y) - H(Z).
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