Unequal rate transmission for sum rate maximization over two-user Gaussian multiple access channel

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A two-user unequal rate repeat accumulate (RA) code is considered for a Gaussian multiple access channel (GMAC) with binary inputs, equal-power, and symbol synchronization. In this scheme, a regular RA code whose rate can be changed freely is employed for each user. At the receiver, two-user message-passing decoding is performed on a single factor graph. Over the GMAC, a fixed point analysis is developed to obtain all achievable pairs-of-rates, in which the optimal pair-of-rates gives the maximum sum rate in the sense that the error rate of detected information bits approaches zero.

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