Abstract

This paper proposes a theoretical model for evaluating the capacity of a millimeter wave (mmWave) source destination link when the nodes are distributed according to a three-dimensional (3D) homogeneous Poisson point process. In the presented analysis, different from the existing approaches, the destination lies in an arbitrary location with respect to the source; thus, the link performance can be evaluated for a neighbor of any order. Moreover, the developed model relies on a realistic propagation environment, characterized by path loss attenuation and shadowing in line of sight (LoS), non-LoS, and outage link state conditions. The derived formulas, which are calculated in closed-form and validated by independent Monte Carlo simulations, are used to investigate the influence of the intensity parameter, of the antenna gain, and of the mmWave frequency band on the link capacity for any possible neighbor in a practical 3D scenario.

Highlights

  • The transition towards the fifth-generation (5G) cellular system at present mainly concerns the implementation of the evolved network function virtualization architecture and, in many cases, the preliminary deployment of novel transceivers operating in the 3.7 GHz band [1]

  • This paper proposes a theoretical model for evaluating the capacity of a millimeter wave source destination link when the nodes are distributed according to a three-dimensional (3D) homogeneous Poisson point process

  • This paper presents a 3D mathematical model for estimating the capacity of a millimeter wave (mmWave) communication when the nodes around a source are located in agreement with a Poisson point process (PPP) and the destination can be a neighbor of any order

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Summary

Introduction

The transition towards the fifth-generation (5G) cellular system at present mainly concerns the implementation of the evolved network function virtualization architecture and, in many cases, the preliminary deployment of novel transceivers operating in the 3.7 GHz band [1]. The final task will be accomplished in upcoming years when the radio components are targeted to extremely high frequencies with the aim of exploiting the presently underutilized millimeter wave (mmWave) bands [2–5] This latter element, combined with the densification of the base stations (BSs) [6–9], the integration between the 5G and the IEEE 802.11ad gigabit wireless fidelity systems [10–13], and the usage on each device of massive, electrically-small antenna arrays [14–17], represent the actual technological jump toward a pervasive terrestrial network, capable of supporting a huge range of applications, including massive data acquisition and low-latency multimedia streaming [18–20].

Scenario
Analysis
Results and Discussion
Model Validation
Impact of Cell Radius
Impact of Maximum Product Gain
Impact of Beam Alignment Error
Impact of Modulation
Conclusions

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