학술논문

Closed-Form Upper and Lower Bounds on Coverage Probability of Repulsive Wireless Networks
Document Type
Periodical
Source
IEEE Transactions on Vehicular Technology IEEE Trans. Veh. Technol. Vehicular Technology, IEEE Transactions on. 72(5):6885-6890 May, 2023
Subject
Transportation
Aerospace
Mathematical models
Receivers
Interference
Wireless networks
Computational modeling
Transmitters
Upper bound
Coverage probability
Matérn hard-core process
Poisson point process
repulsive wireless networks
stochastic geometry
Language
ISSN
0018-9545
1939-9359
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.