Home / Questions / Consider the basic uplink AWGN channel in 61 with power constraints Pk on user k for
Consider the basic uplink AWGN channel in (6.1) with power constraints Pk on user k (for k = 1, 2). In Section 6.1.3, we stated that orthogonal multiple access is optimal when the degrees of freedom are split in direct proportion to the powers of
the users. Verify this. Show also that any other split of degrees of freedom is strictly suboptimal, i.e., the corresponding rate pair lies strictly inside the capacity region given by the pentagon in Figure 6.2. Hint: Think of the sum rate as the performance of a point-to-point channel and apply the insight from Exercise 5.6.
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