Intracell interference characterization and cluster interference for D2D communication

The homogeneous spatial Poisson point process (SPPP) is widely used for spatial modeling of mobile terminals (MTs). This process is characterized by homogeneous distribution, complete spatial independence, and constant intensity measure. However, it is intuitive to understand that locations of MTs are neither homogeneous, due to inhomogeneous terrain, nor independent, due to homophilic relations. Moreover, intensity is not constant, due to mobility. Therefore, assuming SPPP for spatial modeling is too conservative especially for modeling realistic emerging device centric frameworks such as device-to-device (D2D) communication. In this paper, assuming inhomogeneity, positive spatial correlation and random intensity measure, we propose doubly stochastic Poisson process, a generalization of homogeneous SPPP, to model D2D communication. To this end, we assume Permanental Cox Process (PCP) and propose Euler Characteristic based novel approach to approximate nearest neighbor distribution function. We propose the threshold and spatial extent of excursion set of chi-square random field as interference control parameters for different cluster sizes. The spatial extent of clusters is incorporated into Laplace functional of PCP to analyze average coverage probability of cellular user.
The closed-form approximation of spatial summary statistics and empirical results are in good agreement and its comparison with
SPPP authenticates correlation modeling of D2D nodes.