Uplink coverage and spatial blocking in Poisson cellular networks

In this paper, we study an uplink Poisson cellular network model, where the BSs and mobiles are located according to two independent Poisson processes with different densities. A Voronoi tessellation is formed based on the locations of BSs, dividing the network plane into cells. Each mobile communicates with the closest BS. Assuming an orthogonal channelised multiple access technique and a random channel reuse scheme, a BS randomly assigns its available channels to the users within its cell in a one-to-one manner. Under this setting, uplink coverage probability in a channel is studied. In addition, we introduce the concept of user spatial blocking, which occurs when a user has no access to any channel due to limited number of channels available in each cell. Approximate expressions for user spatial blocking probability and uplink coverage probability are derived in this paper.