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The instantaneous capacity of Multiple-Input Multiple-Output (MIMO) systems over Rayleigh fading channel is known to follow a normal probability distribution when the number of antennas is large. In this paper, the authors extend this result for Distributed MIMO (DMIMO) systems. First, they show that the instantaneous capacity of DMIMO systems is asymptotically equivalent to a Gaussian random variable, they then derive an asymptotical approximation of the outage probability which becomes tighter as the rate or the number of nodes and antennas of the system increases. This expression can be used to easily evaluate the outage probability of DMIMO systems, both for downlink and uplink cases.
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