Theoretical analysis demonstrates optimal power allocation achieves capacity in parallel Gaussian broadcast channels, indicating exact bounds for multi-user throughput.
We analyze the problem of communication over a set of parallel Gaussian broadcast channels, each with a different set of noise power for the users. We show that capacity can be achieved by optimal power allocation over the channels, and obtain an explicit characterization of the optimal power allocations and the resulting capacity region.
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David Tse (2002) studied this question.
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