SINR and Rate Coverage of Broadcast Networks using Stochastic Geometry

In this paper, we focus on the performance of a broadcast network (single frequency network) including TV broadcasting networks. Since all transmitters in a broadcast network are transmitting the same signal, received signals from multiple transmitters from a certain connectivity region around the user can be combined to improve the coverage at this user. Using tools from stochastic geometry, we provide an analytical framework to derive the SINR and rate coverage of a typical receiver located at the origin. We also validate our analysis via numerical results. We show that rate coverage is affected by the size of the connectivity region and there exists an optimal size of connectivity region that maximizes the rate coverage.