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The authors consider the problem of rate allocation in a fading Gaussian Multiple-Access Channel (MAC) with fixed transmission powers. The goal is to maximize a general concave utility function of transmission rates over the throughput capacity region. In contrast to earlier works in this context that propose solutions where a potentially complex optimization problem must be solved in every decision instant, they propose a low-complexity approximate rate allocation policy and analyze the effect of temporal channel variations on its utility performance. To the best of the knowledge, this is the first work that studies the tracking capabilities of an approximate rate allocation scheme under fading channel conditions.
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