We obtain the (Shannon) optimal power and rate allocation strategies for the uplink on single cell systems. For an N user system, we show that successive decoding which is independent of channel state is optimal in the Shannon sense. Using this result, we frame a simple N dimensional convex optimization problem, which is solved to obtain optimum power and rate allocation as explicit functions of the channel state.
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Vishwanath et al. (2002) studied this question.
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