Novel Insights into Probability of Success of Random Access Scheme in 5G Millimeter Wave Cellular Network

Abstract

As we progress towards the fifth generation (5G) wireless systems to meet the data rate requirements, it becomes difficult for the conventional cellular networks to provide connectivity in the uplink to a huge number of connected devices. Hence, the adoption of the millimeter wave (mmWave) technology will ease the integration of IoT devices into the 5G cellular network. In this paper, we consider a stochastic geometry model to investigate baseline Random Access scheme's success probability in the Internet of things (IoT) that uses millimeter wave (mmWave) cellular communication technology. Specifically, to obtain novel insights, we analyze probability of success of the random access scheme in the following three scenarios: i) Success probability as a function of the signal power-to-noise ratio (SNR), ii) Success probability as a function of the signal power-to-interference ratio (SIR), and iii) Success probability in terms of signal power-to-interference plus noise ratio (SINR). Furthermore, we approximate the probability of success in LOS region using a simplified ball model for a large number of IoT devices. Using Monte Carlo simulations, the approximation of LOS-ball comes out to be sufficiently accurate with the analytical results for typical IoT intensit