On the Capacity Region of a Multiple Access Channel With Common Messages

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A Multiple Access Channel (MAC) consists of multiple users transmitting to a common receiver. The capacity region of the MAC was first characterized by Ahlswede and Liao, assuming independent messages at the users. In this model, the independence of the transmitted messages prevents the channel inputs of different users to be chosen as correlated (apart from possible time-sharing), and the capacity region is characterized via the set of probability distributions that factorize as the product of the input distributions of the users. A more general model encompasses arbitrarily correlated sources at the users.