Analysis of uplink transmissions in cellular networks: A stochastic geometry approach

In this paper, we exploit tools from stochastic geometry to develop a tractable model for uplink transmissions in single-tier cellular wireless networks with truncated channel inversion power control. Our model gives simple expressions for the outage probability and spectral efficiency which characterize the network performance in terms of the design parameters. In particular, the model reveals a transfer point in the uplink system behavior that depends on the tuple: BS intensity (λ), maximum transmit power of UEs (P_u), and power control cutoff threshold ρ_o. More specifically, when P_u is a tight operational constraint with respect to [w.r.t.] λ and ρ_o, the uplink performance highly depends on the values of λ and ρ_o. In contrast, when P_u is a non-binding operational constraint w.r.t. λ and ρ_o, the uplink performance becomes independent of λ and ρ_o.