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Section: New Results

Information theory

45. Error Exponents for MAC Channelss [3] This work analyzes a class of Multiple Access Channels (MAC) where the sum of the dimensions of the transmitted signals matches that of the received signal. This channel is a classical object of information theory in the power constrained case. We first focus on the Poltyrev regime, namely the case without power constraint. Using point process techniques, we derive the capacity under general stationarity and ergodicity noise assumptions as well as a representation of the error probability. We use this to derive bounds on the error exponent in the Gaussian case. This also leads to new results on the power constrained error exponents.