t - VTU e-Learning Centre
t - VTU e-Learning Centre
t - VTU e-Learning Centre
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2. A channel model is shown<br />
INPUT<br />
X<br />
1<br />
0 0<br />
p<br />
What type of channel is this?<br />
Write the channel matrix<br />
P(Y/X)<br />
Do you notice something special in this channel?<br />
What is H(x) for this channel?<br />
Say P(x=0) = P & P(x=1) = Q = (1 – P)<br />
H(x) = – P log P – Q log Q = – P log P – (1 – P) log (1 – P)<br />
What is H(y/x)?<br />
H(y/x) = – [p log p + q log q]<br />
What is H(y) for the channel?<br />
H(y) = P(<br />
y)<br />
log P(<br />
y)<br />
= – [Pp log (Pp) + q log q + Q . p log (Q . p)]<br />
What is H(x/y) for the channel?<br />
H(y/x) = P(<br />
xy)<br />
log P(<br />
x / y)<br />
X<br />
p<br />
q<br />
q<br />
?<br />
1<br />
OUTPUT<br />
Y<br />
Y<br />
0 ? 1<br />
0 p q p<br />
1 o q p
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