Abstract
In this paper, we analyze the sum-rate capacity of Poisson multiple access channels (MAC) when each transmitter has multiple antennas. By converting a non-convex optimization problem with a large number of variables into a non-convex optimization problem with 2 variables, we show that the sum-rate capacity of the Poisson MAC with multiple transmit antennas is equivalent to a properly constructed Poisson MAC with single antenna at each transmitter. Therefore, characterizing the sum-rate capacity of the Poisson MAC with multiple transmit antennas is equivalent to characterizing the sum-rate capacity of a Poisson MAC with single antenna.
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