A necessary condition for the transmissibility of correlated sources over a MAC

A necessary condition for the transmissibility of correlated sources over a multi-access channel (MAC) is presented. The condition is related to Wyner's common information and to the Slepian-Wolf capacity region of the MAC with private and common messages. An analogous condition for the transmissibility of remote sources over a MAC is also derived. Here the transmitters only observe noisy versions of the sources.

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