Show that ρ(X,Y)=H(X|Y)+H(Y|X) has the above properties,and is therefore a metric.Note that ρ(X,Y) is the number of bits needed for X and to communicate their values to each other.
第1题
e variance of I(x;y)=0.Prove that the input assignment achieves channel capacity.
第2题
;0 and VAR[I(x;y)]=0.Calculate I(X;Y).
第4题
(xy)=αP(x)P(y)
第5题
acity?
第6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8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).
第10题
2,而其他概率值不变。试证明由此所得新的概率空间的熵是增加的,并用熵的物理意义加以解释。
为了保护您的账号安全,请在“上学吧”公众号进行验证,点击“官网服务”-“账号验证”后输入验证码“”完成验证,验证成功后方可继续查看答案!