A Fluid Approach for Poisson Wireless Networks
  Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a spatial Poisson process, allows to consider a non constant distance between base stations. Therefore, it may characterize more realistically operational networks. The Fluid network model, for which the interfering BS are replaced by a continuum of infinitesimal interferers, allows to establish closed-form formula for the SINR (Signal on Interference plus Noise Ratio). This model was validated by comparison with an hexagonal network. The two models establish very close results. As a consequence, the Fluid network model can be used to analyze hexagonal networks. In this paper, we show that the Fluid network model can also be used to analyze Poisson networks. Therefore, the analysis of performance and quality of service becomes very easy, whatever the type of network model, by using the analytical expression of the SINR established by considering the Fluid network model. 
Jean-Marc Kelif, Stephane Senecal, Constant Bridon, Marceau Coupechoux
cs.IT cs.NI math.IT