A Novel Approach for Performance Analysis of IoT Enabled Uplink Network with Matern Cluster Process

In this paper, we focus on analyzing the performance measure of cellular network for massive connectivity of IoT devices considering that the base stations (BSs) are distributed according to Matern Cluster Process (MCP) while devices are distributed according to Poisson Point Process (PPP). In particular, we develop a generalized approach to calculate connection failure probability of IoT devices in the random access channel (RACH) phase of uplink (UL) transmission. The proposed approach uses a calculation of the devices' association probability rather than using an approximation of the Voronoi tessellation's cells area distribution that is used in PPP. To adopt this approach, we derive the void probability for MCP which is defined as the probability of having no children point of MCP in a given distance. The merit of the proposed approach besides its exact analysis, is that it can be applied for general scenarios of devices and BSs' distributions. Presented numerical results demonstrate the effectiveness and accuracy of the proposed approach. We validate our analysis comparing with the numerical simulations via MATLAB.