Abstract

Within the framework of 5G, blockage effects occurring in the mmWave band are critical. Previous works describe the effects of blockages in isolated and multiple links for simple blocking objects, modeled with mathematical tools such as stochastic geometry and random shape theory. Our study uses these tools to characterize a scenario with N links, including the possible correlation among them in terms of blocking for several models of blocking objects. We include numerical evaluations highlighting that assuming independence among the links' blocking elements is a too-brief simplification and does not accurately describe the real scenario. This paper also applies the formulation developed for the case of N links to optimize the relay positioning in mmWave cells for coverage enhancement, that is, to minimize the communication failure probability. We also show that both link budget and blockages affect the optimum positioning of the relays as they are both essential for successful transmission.

Highlights

  • Existing technologies, including long term evolution (LTE), have served well for many years but, since some time ago, it is clear that a new generation of mobile communications is needed

  • To validate the analytic expressions derived in this work, we will compare them with some Monte Carlo numerical simulations in which blockages are thrown randomly within a cell following a uniform spatial Poisson point process (PPP) distribution

  • We obtain the probability that a UE at a given distance d from the BS is blocked

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Summary

Background and Motivation

U SERS demand day after day much faster, higher capacity, and broader coverage in mobile communications. Several models of blocking elements are considered: line segments and rectangles (with and without height), whose sizes and orientations are modeled as random through random shape theory [14] These papers obtain the probability of blockage for specific and isolated links. As an example of application, we use this analysis to optimize the positions of a set of relays in a mobile cell to minimize the impact of blockage, improving network coverage Another aspect to consider in mmWave signal transmission is the atmospheric attenuation, mainly due to rain [20]–[22]. This inclusion requires a precise and detailed statistical analysis of the fading and atmospheric effects that falls out of the scope of this paper, and we leave it for future research work

Contributions
Organization
SINGLE-LINK COMMUNICATION
Modeling of the Blocking Elements Based on Random Shape Theory
MULTIPLE-LINK COMMUNICATION
Two Links
N Links
APPLICATION TO RELAY-BASED COMMUNICATIONS
Scenario and Problem Definition
RESULTS
Single-Link
SUMMARY AND CONCLUSIONS

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