  The coverage probability and average data rate of normalized SNR-based
scheduling in a downlink cellular network are derived by modeling the locations
of the base stations and users as two independent Poison point processes. The
scheduler selects the user with the largest instantaneous SNR normalized by the
short-term average SNR. In normalized SNR scheduling, the coverage probability
when the desired signal experiences Rayleigh fading is shown to be given by a
series of Laplace transforms of the probability density function of
interference. Also, a closed-form expression for the coverage probability is
approximately achieved. The results confirm that normalized SNR scheduling
increases the coverage probability due to the multi-user diversity gain.
