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Outage probability of correlated binary source transmission over fading multiple access channels

This paper investigates the outage behavior of transmitting correlated binary sources with arbitrary code rate over quasi-static Rayleigh fading multiple access channel (MAC). The sufficient condition for lossless communication with arbitrary code rate is obtained by assuming separate source and channel coding, which indicates the two rate regions specified by the Slepian-Wolf theorem and the MAC capacity region intersect. An upper bound of the outage probability is derived based on the sufficient condition. Asymptotic property shows the second order diversity gain can be achieved only when the tow sources are fully correlated. Numerical results demonstrate the accuracy of the derived upper bound. The ε-outage achievable rate, which is the largest rate of transmission such that the outage probability is smaller than a predefined ε value, is also analyzed. It is found the ε-outage achievable rate becomes lager with higher transmit power and/or stronger source correlation.