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Communication over the i.i.d. Rayleigh slow-fading MAC is considered, whereall terminals are equipped with a single antenna. Further, a communicationprotocol is considered where all users transmit at (just below) the symmetriccapacity (per user) of the channel, a rate which is fed back (dictated) to theusers by the base station. Tight bounds are established on the distribution ofthe rate attained by the protocol. In particular, these bounds characterize theprobability that the dominant face of the MAC capacity region contains asymmetric rate point, i.e., that the considered protocol strictly attains thesum capacity of the channel. The analysis provides a non-asymptotic counterpartto the diversity-multiplexing tradeoff of the multiple access channel. Finally,a practical scheme based on integer-forcing and space-time precoding is shownto be an effective coding architecture for this communication scenario.

Simple Bounds for the Symmetric Capacity of the Rayleigh Fading Multiple Access Channel