  Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are
distributed according to a Poisson distribution, is currently used as a
accurate model to analyse the performance of a cellular network. Most current
work on evaluation of PPP network in Rayleigh fading channels are usually
assumed that the BSs have fixed transmission power levels and there is only a
Resource Block (RB) or a user in each cell. In this paper, the
Rayleigh-Lognormal fading channels are considered, and it is assumed that each
cell is allocated $N$ Resource Blocks (RB) to serve M users. Furthermore, the
serving and interfering BS of a typical user are assumed to transmit at
different power levels. The closed-form expression for the network coverage
probability for both low and high SNR is derived by using Gauss-Legendre
approximation. The analytical results indicates that the performance of the
typical user is proportional to the transmission power and density of BSs when
SNR<10 dB and {\lambda}<1, and reaches the upper bound when SNR>10 dB or
{\lambda}>1. The variance of Monte Carlo simulation is considered to verify the
stability and accuracy of simulation results.
