Uniform transmitter selection in clustered D2D networks: An interference modeling analysis

In this paper, the interference statistics in a clustered device-To-device network is studied and the cluster centers are modeled as a Poisson point process. For such, each active receiver device chooses its transmitter randomly following the uniform distribution. We first characterize the statistics of the number of intra/inter-cluster interferers and develop the simplified expressions for several special cases. With the aid of these derived probability distributions of the number of interferers, the Laplace transforms of intra/inter-cluster interference are formulated and simplified approximations for the special cases are also attained. Finally, several applications of the derived interference statistics are shown to illustrate the performance difference between the proposed interference model and the assumed one in the literature.