Closed-Form Upper and Lower Bounds on Coverage Probability of Repulsive Wireless Networks

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.