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The authors consider the problem of rate and power allocation in a fading multiple-access channel. Their objective is to obtain rate and power allocation policies that maximize a utility function defined over average transmission rates. In contrast with the literature, which focuses on the linear case, they present results for general concave utility functions. They consider two cases. In the first case, they assume that power control is possible and channel statistics are known. In this case, they show that the optimal policies can be obtained greedily by maximizing a linear utility function at each channel state. In the second case, they assume that power control is not possible and channel statistics are not available.
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