On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks

Stochastic geometry has recently gained popularity for performance assessment of wireless networks. The application of this approach is conditioned on the availability of closedform expressions for probability distributions of the distance between the receiver and interfering nodes. These expressions are available for the simple point processes, e.g., the Poisson point process, and area geometries only. The motivation of this letter is to draw the attention of the wireless research community to a new methodology for estimating interference in spatially random networks. We show that using the integral geometry and working with interference sets rather than interference distances one can approximate the interference for any convex deployment areas and general distribution of interfering nodes.