Distance Analysis in Regular OWC Deployments

For future wireless networks, including 6G, the ability to accurately model and predict network behaviour is essential for meeting stringent quality of service (QoS) requirements. This paper addresses a critical need in future wireless communication systems, particularly for 6G networks, by providin...

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Main Authors: Ali Mahbas, John Cosmas, Hamed Al-Raweshidy
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10793071/
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author Ali Mahbas
John Cosmas
Hamed Al-Raweshidy
author_facet Ali Mahbas
John Cosmas
Hamed Al-Raweshidy
author_sort Ali Mahbas
collection DOAJ
description For future wireless networks, including 6G, the ability to accurately model and predict network behaviour is essential for meeting stringent quality of service (QoS) requirements. This paper addresses a critical need in future wireless communication systems, particularly for 6G networks, by providing a comprehensive mathematical framework for modelling network geometry in regular cell deployments. Accurate modelling of network geometry is essential for ensuring high QoS and precise localization. While both regular (e.g., square) and irregular (e.g. Poisson Point Process (PPP)) cell-deployment models have been studied, regular deployments, which are crucial for wireless and optical wireless communications (OWC), have received less attention. This paper proposes a mathematical framework to analyse the distance distribution in various regular cell deployments, including line, square, and hexagon configurations. It derives the probability density function (pdf) of the horizontal (2D) and vertical (3D) distances between a user equipment (UE) and the closest node. The framework reveals inaccuracies in previous assumptions made in the literature regarding distance distribution. The exact pdf of the 2D distance between a randomly located UE and the closest node is derived, considering parameters such as inter-node distance and system dimensions (e.g., width). The framework is extended to study the 3D distance, accounting for both fixed and random height differences between the UE and nodes. The coverage probability (CP) is also derived using the proposed framework, providing a more accurate representation of network performance. The results confirm the accuracy of the proposed analysis and compare it with existing works in the literature. The paper highlights that some of assumptions in these works lead to significant errors, such as a 4dB error in signal to noise ratio (SNR) in square deployments. The proposed framework offers a more precise approach to capturing the system characteristics, leading to better network planning and performance optimization.
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spelling doaj-art-e5aef0873ffa45b49c033aa93c465f9f2025-08-20T02:49:09ZengIEEEIEEE Access2169-35362024-01-011218680318681810.1109/ACCESS.2024.351588010793071Distance Analysis in Regular OWC DeploymentsAli Mahbas0https://orcid.org/0000-0002-1134-9414John Cosmas1https://orcid.org/0000-0003-4378-5576Hamed Al-Raweshidy2https://orcid.org/0000-0002-3702-8192Department of Electronic and Electrical Engineering, College of Engineering, Design and Physical Sciences, Brunel University of London, Uxbridge, U.K.Department of Electronic and Electrical Engineering, College of Engineering, Design and Physical Sciences, Brunel University of London, Uxbridge, U.K.Department of Electronic and Electrical Engineering, College of Engineering, Design and Physical Sciences, Brunel University of London, Uxbridge, U.K.For future wireless networks, including 6G, the ability to accurately model and predict network behaviour is essential for meeting stringent quality of service (QoS) requirements. This paper addresses a critical need in future wireless communication systems, particularly for 6G networks, by providing a comprehensive mathematical framework for modelling network geometry in regular cell deployments. Accurate modelling of network geometry is essential for ensuring high QoS and precise localization. While both regular (e.g., square) and irregular (e.g. Poisson Point Process (PPP)) cell-deployment models have been studied, regular deployments, which are crucial for wireless and optical wireless communications (OWC), have received less attention. This paper proposes a mathematical framework to analyse the distance distribution in various regular cell deployments, including line, square, and hexagon configurations. It derives the probability density function (pdf) of the horizontal (2D) and vertical (3D) distances between a user equipment (UE) and the closest node. The framework reveals inaccuracies in previous assumptions made in the literature regarding distance distribution. The exact pdf of the 2D distance between a randomly located UE and the closest node is derived, considering parameters such as inter-node distance and system dimensions (e.g., width). The framework is extended to study the 3D distance, accounting for both fixed and random height differences between the UE and nodes. The coverage probability (CP) is also derived using the proposed framework, providing a more accurate representation of network performance. The results confirm the accuracy of the proposed analysis and compare it with existing works in the literature. The paper highlights that some of assumptions in these works lead to significant errors, such as a 4dB error in signal to noise ratio (SNR) in square deployments. The proposed framework offers a more precise approach to capturing the system characteristics, leading to better network planning and performance optimization.https://ieeexplore.ieee.org/document/10793071/Coverage probability (CP)distance distributionhexagon deploymentline deploymentoptical wireless communications (OWC)regular deployment
spellingShingle Ali Mahbas
John Cosmas
Hamed Al-Raweshidy
Distance Analysis in Regular OWC Deployments
IEEE Access
Coverage probability (CP)
distance distribution
hexagon deployment
line deployment
optical wireless communications (OWC)
regular deployment
title Distance Analysis in Regular OWC Deployments
title_full Distance Analysis in Regular OWC Deployments
title_fullStr Distance Analysis in Regular OWC Deployments
title_full_unstemmed Distance Analysis in Regular OWC Deployments
title_short Distance Analysis in Regular OWC Deployments
title_sort distance analysis in regular owc deployments
topic Coverage probability (CP)
distance distribution
hexagon deployment
line deployment
optical wireless communications (OWC)
regular deployment
url https://ieeexplore.ieee.org/document/10793071/
work_keys_str_mv AT alimahbas distanceanalysisinregularowcdeployments
AT johncosmas distanceanalysisinregularowcdeployments
AT hamedalraweshidy distanceanalysisinregularowcdeployments