Analytical and Simulation Performance of a Typical User in Random Cellular Network

TL;DR

This paper analyzes the performance of a typical user in a Poisson-distributed cellular network considering Rayleigh-Lognormal fading, variable power levels, and resource allocation, providing closed-form coverage probability expressions.

Contribution

It introduces a novel analytical model for PPP cellular networks with Rayleigh-Lognormal fading, variable power, and resource allocation, deriving closed-form coverage probability expressions.

Findings

Performance proportional to BS density and power at low SNR

Coverage probability reaches an upper bound at high SNR or density

Simulation results verify analytical accuracy

Abstract

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.