Applications of G function in base station placement

Abstract

Recently, the rampant enlarging of networks scale have led to a growth in the number of mobile base stations. The research of mobile base stations is more meaningful under this circumstance. In the study of base station distribution, the distribution of base stations in many areas is subject to Poisson distribution. This paper takes three large cities in Britain as an example to explore whether their base station distribution is Poisson distribution in big cities of UK. We simulate the actual data distribution using R. By comparing and analyzing the distribution of base stations in these cities with G function, we conclude that the distribution of base stations differs by the density of local residents and other geographical features. Values of accumulation distribution function are always larger than values of nearest neighbor distance distribution function, and the nearest neighbor distance of observation point samples are shorter than for a Poisson process. However, when r reaches a high level, the degree of aggregation decreases gradually with the increasing of R.