Coverage Probability Analysis in a Device-to-Device Network: Interference Functional and Laplace Transform Based Approach

In this letter, we provide an interference functional and Laplace transform based analysis using stochastic geometry to evaluate the expectation over the interference, which is further used to derive the coverage probability expressions for device-to-device (D2D) links. We assume a more practically relevant Nakagami- $ {m}$ fading distribution to model fading between the D2D communication links considering interference from both D2D and cellular links. We also derive a bound on the coverage probability, which simplifies the coverage computations at higher values of the fading parameter. Furthermore, the numerical results corroborate the presented coverage analysis.