we want to study the quality of a noisy communication channel of a digital camera. for this, we

consider that the source delivered the colors is modeled by the following transition matrix:

$[P(\frac{Y}{x})]=\left[\begin{array}{ccccccc}0\mathrm{.}50& 0\mathrm{.}30& 0\mathrm{.}20& 0\mathrm{.}00& ?& ?& ?\\ 0\mathrm{.}00& 0\mathrm{.}50& 0\mathrm{.}30& 0\mathrm{.}20& ?& ?& ?\\ 0\mathrm{.}20& 0\mathrm{.}00& 0\mathrm{.}50& 0\mathrm{.}30& ?& ?& ?\\ 0\mathrm{.}30& 0& 20& 0& 00& 0& 50\end{array}\right]$

Is it symmetric.?

Give the channel diagram.

For equiprobable inputs, calculate the probabilities at the output of channel. comment the result.

Calculate the mutual information and deduce the capacity.?