On the downlink SINR and outage probability of stochastic geometry based LTE cellular networks with multi-class services

Due to the increasing number of irregularly spaced base stations (BSs) as well as the intrinsic random channel environment, modeling and analysis of cellular networks using classical hexagonal cell shapes is becoming ever more impractical. Therefore, stochastic geometry models having the ability to picture near realistic situations is gaining a wide acceptability for evaluating cellular network performance. In light of this, this paper presents a simulation-based investigation on the downlink signal-to-interference-noise-ratio (SINR) and the outage probability of orthogonal frequency division multiple access (OFDMA)-based long term evolution (LTE) cellular systems using stochastic geometry with multi-class services. Locations of BSs are modeled using both Poisson point process (PPP) as well as hard-core Poisson process (HCPP). Moreover, a computationally efficient method is proposed for capturing the effect of inter-cell interference in such stochastic geometry based cellular networks. Network performance including the outage probability of various multi-class services under varying shadow fading scenario and BS density is evaluated using Monte Carlo simulations, and compared with that of the traditional hexagonal models. Simulation results clearly demonstrates the over optimistic network performance of hexagonal model, while the most realistic HCPP model provides a compromise between the hexagonal and the PPP models.