Coverage Analysis in Cellular Networks with Planar and Vehicular Base Stations

This paper analyzes the coverage probability of a typical user in a cellular network comprised of planar base stations, planar users, vehicular base stations, and vehicular users. Planar base stations and users in the Euclidean space are modeled by independent stationary planar Poisson point processes. Then, conditionally on a stationary Poisson line process, vehicular base stations and vehicular users are modeled by linear Poisson point processes on the lines. Utilizing the Palm distribution of each user point process, we derive the association probability and the coverage probability of each typical user, namely that of the typical planar user and the typical vehicular user. Using the association and coverage expressions, we fully characterize the Shannon rate distributions of all downlink combinations present in the proposed network based on their association types: vehicle-to-vehicle, vehicle-to-planar, planar-to-vehicle, and planar-to-planar.