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Motivated by fading channels and erasure channels, the problem of reliable communication over deterministic relay networks is studied, in which relay nodes receive a function of the incoming signals and a random network state. An achievable rate is characterized for the case in which destination nodes have full knowledge of the state information. If the relay nodes receive a linear function of the...
An alternative characterization is given for the coding theorem by Han and Costa, which finds a set of admissible source pairs that can be transmitted reliably over the broadcast channel. The associated coding technique is conceptually simpler and the resulting admissible source region can be shown to include the Gray-Wyner distributed source coding region in a straightforward manner. Incidentally,...
We extend Shannon's result on the capacity of channels with state information to multiple user channels. More specifically, we characterize the capacity (region) of degraded broadcast channels and physically degraded relay channels where the channel state information is causally available at the transmitters. We also obtain inner and outer bounds on the capacity region for multiple access channels...
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