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This paper provides the signal-to-interference-plus-noise ratio (SINR)complimentary cumulative distribution function (CCDF) and average data rate ofthe normalized SNR-based scheduling in an uplink cellular network usingstochastic geometry. The uplink analysis is essentially different from thedownlink analysis in that the per-user transmit power control is performed andthat the interferers are composed of at most one transmitting user in each cellother than the target cell. In addition, as the effect of multi-user diversityvaries from cell to cell depending on the number of users involved in thescheduling, the distribution of the number of users is required to obtain theaveraged performance of the scheduling. This paper derives the SINR CCDFrelative to the typical scheduled user by focusing on two incompatible cases,where the scheduler selects a user from all the users in the correspondingVoronoi cell or does not select users near cell edges. In each case, the SINRCCDF is marginalized over the distribution of the number of users involved inthe scheduling, which is asymptotically correct if the BS density issufficiently large or small. Through the simulations, the accuracies of theanalytical results are validated for both cases, and the scheduling gains areevaluated to confirm the multi-user diversity gain.

Asymptotic Analysis of Normalized SNR-Based Scheduling in Uplink Cellular Networks with Truncated Channel Inversion Power Control