Solve the following problem:
Consider a TDMA system with K = 2 users in an AWGN channel. Suppose that the two transmitters are peak-power-limited to P1 and P2, and let user 1 transmit for 100α percent of the available time and user 2 transmit 100(1 - α) percent of the time. The available bandwidth is W.
a. Determine the capacities C1, C2, and C = C1 + C2 as functions of α.
b. Plot the graph of the points (C2,C1) as α varies in the range 0 ≤ α ≤ 1.