Stochastic Geometry Modeling and Analysis of Finite Millimeter Wave Wireless Networks
Journal article, 2019

This paper develops a stochastic geometry-based approach for the modeling and analysis of finite millimeter wave (mm Wave) wireless networks where a random number of transmitters and receivers are randomly located inside a finite region. We consider a selection strategy to serve a reference receiver by the transmitter providing the maximum average received power among all transmitters. In our system model, we employ the unique features of mm Wave communications such as directional transmit and receive beamforming and different channels for line-of-sight (LOS) and non-line-of-sight (NLOS) links. Accordingly, deploying a blockage process suitable for mm Wave networks, we study the coverage probability and the ergodic rate for the reference receiver that can be located everywhere inside the network region. As key steps for the analyses, the distribution of the distance from the reference receiver to its serving LOS or NLOS transmitter and LOS and NLOS association probabilities are derived. We also derive the Laplace transform of the interferences from LOS and NLOS transmitters. Finally, we propose upper and lower bounds on the coverage probability that can be evaluated easier than the exact results, and investigate the impact of different parameters including the receiver location, the beamwidth, and the blockage process exponent on the system performance.

wireless networks

Poisson point process

mm Wave communications

finite topologies

Stochastic geometry


Seyed Mohammad Azimi-Abarghouyi

Sharif University of Technology

Behrooz Makki


Masoumeh Nasiri-Kenari

Sharif University of Technology

Tommy Svensson

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

IEEE Transactions on Vehicular Technology

0018-9545 (ISSN)

Vol. 68 2 1378-1393

Subject Categories


Communication Systems

Signal Processing



More information

Latest update

2/7/2020 9