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
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