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Channel Capacity and transition probability question

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Steeve-123

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Hi everyone here,
This is my first question in this forum.
Can any one tell me how to find the channel capacity associated for a channel with the transition probability matrix. this matrix is as follows:
**broken link removed**
 

What are the number of input possibilities? What are the output possibilities? If I assume that input possibilities are 3 (say -1, 0, +1), and out put possibilities are 2 (-1, +1), then your transition matrix can be interpreted

p(-1/-1) p(0/-1) p(-1/+1)
p(+1/-1) p(0/-1) p(-1/+1)

note: p (output/input) form.

But the given probabilities don't add up.

In any case, you can use the definition of mutual information itself to calculate the capacity, if you also know the input distribution p(x)

Channel capacity C = max (I(X;Y)) over all possible p(x)
I(X;Y) = sigma all X ( sigma all y ( p(y/x)*p(x) log (p(y/x)/p(y))));
(look up an information theory book, like cover and thomas)

- b

Steeve-123 said:
Hi everyone here,
This is my first question in this forum.
Can any one tell me how to find the channel capacity associated for a channel with the transition probability matrix. this matrix is as follows:
**broken link removed**
Click to expand...
 

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