4 problems
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Large-interference time-sharing conjecture for the two-user Gaussian multicast channel
Consider a two-user Gaussian multicast channel in which the interference sequences on the two links are jointly and individually independent and identically distributed Gaussian pr…
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Conjecture on the optimality of the geometric dirty-paper coding approach
Geometric dirty-paper conjecture. The geometric dirty-paper coding scheme is optimal, in the sense that the encoder cannot exploit the known interference beyond the geometric appro…
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Conjecture on dirty-paper coding for cooperative private messages
The setting is a two-user Gaussian interference channel with transmitter cooperation, in which and denote cooperative private messages and dirty-paper coding can be use…
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The dirty-paper coding optimality conjecture for Gaussian vector broadcast channels
A Gaussian vector broadcast channel has capacity region , and dirty-paper coding (DPC) achieves the rate region . Dirty-paper…