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For OFDMA systems, we find a rough but easily computed upper bound for theprobability of loosing communications by insufficient number of sub-channels ondownlink. We consider as random the positions of receiving users in the systemas well as the number of sub-channels dedicated to each one. We use recentresults of the theory of point processes which reduce our calculations to thefirst and second moments of the total required number of sub-carriers.

Upper bound of loss probability in an OFDMA system with randomly located users