Stochastic geometry models of mobile communication networks

This paper proposes a new approach for modeling of mobile communication networks. The main tools are point processes and stochastic geometry. We show how several performance evaluation problems within this framework can actually be posed and solved by computing the mathematical expectation of certain functionals of point processes. We analyze models based on Poisson point processes for which analytical formulae can often be obtained. In particular, we obtain distributions of the number of mobiles with call in progress in a base station cell and the number of such mobiles passing the boundary of the cell.