(Solved) : Consider Following 2 User Multiple Access Channel Mac Y X1 X2 X1 0 1 X2 0 1 2 Real Additio Q32043926 . . . .

Consider the following 2-user multiple access channel (MAC) Y =X1+X2 where X1 ∈{0,1}, X2 ∈{0,1,2}and + is real addition.

Answer the following questions.

1. Compute the maximum I(X1;Y|X2) and specify under whatcondition this is achievable.

2. Compute the maximum I(X2;Y|X1) and specify under whatcondition this is achievable.

3. Fix X1 ∼Bernoulli(1/2), compute the maximum I(X2;Y) andspecify under what condition this is achievable.

You need to determine the equivalent channel between X2 and Yand find its capacity.

4. Fix X2 ∼Uniform(1/3), compute the maximum I(X1;Y) and specifyunder what condition this is achievable.

You need to determine the equivalent channel between X1 and Yand find its capacity.

5. Plot the