Average received interference power analysis of D2D communication in the cellular network

This study investigates the average received interference power of Device-to-Device (D2D) communication in the cellular network, where multiple cellular users are uniformly distributed inside this cell, and the allocated uplink resources are reused by D2D. First, based on the parameter estimation of two-dimensional uniform distribution in a circle, and the general approach to generating a random variable from a distribution, we derive the exact expression for the average interference power of the D2D receiver. Then, with the upper bound of the derived expression, we analyze the variation tendency of the interference power. This is achieved by taking derivatives and using the property of the Lambert W function. Analytical results demonstrate that the interference power firstly increase and then decrease with the increasing radial coordinate of the D2D receiver. Finally, we present simulations and numerical results to validate the derivation and analysis.