In this paper, we propose novel closed-form lower and upper bound expressions on coverage probability of repulsive wireless networks modeled by Matèrn hard-core process type II (MHCP-II). The derived mathematical… Click to show full abstract
In this paper, we propose novel closed-form lower and upper bound expressions on coverage probability of repulsive wireless networks modeled by Matèrn hard-core process type II (MHCP-II). The derived mathematical expressions are matched well with simulation results especially when the hard-core distance, $\delta$, of MHCP-II model is larger than the communication distance between transmitter and receiver, $R$. It is worth noting that the case that $\delta \geq R$ is very important in practical repulsive wireless networks. We also propose a novel closed-form expression on coverage probability of in-homogeneous Poisson point process model in order to approximate the coverage probability of repulsive wireless networks when $\delta < R$. Through extensive computer simulations, we validate that the proposed mathematical analysis matches well with simulation results in various system parameters. To the best of our knowledge, the proposed closed-form expressions are the first mathematically tractable and effective theoretical results in the literature.
