A Perturbed Hexagonal Lattice to Model Basestation Locations in Real-World Cellular Networks

Banani, S. Alireza; Adve, Raviraj; Eckford, Andrew W.

doi:10.1109/glocomw.2015.7414027

Cited by 8 publications

(10 citation statements)

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“…Given its ability to capture wide range of point patterns between the PPP and deterministic lattices, the PL is extensively investigated in the literature of wireless networks modeling and analysis. For instance, analytical bounds of the average interference and signal-tointerference ratio (SIR) distribution are studied in [116], [117]. In [66], [67], [117], [118], the PL is used to model realistic node deployments that exhibit repulsion.…”

Section: A Classification Of Point Processesmentioning

confidence: 99%

“…For instance, analytical bounds of the average interference and signal-tointerference ratio (SIR) distribution are studied in [116], [117]. In [66], [67], [117], [118], the PL is used to model realistic node deployments that exhibit repulsion. Interestingly and given the observation that the best SINR distribution is achievable under perfect lattices [18], the authors of [119], [120], proposed to proceed on the basis of a novel algorithm, namely the triangular lattice fit, to deactivate some empty BSs, i.e., BSs serving no UE, in such a way to render the structure of activated BSs as regular as possible, which will enable to maximize the overall performance.…”

Section: A Classification Of Point Processesmentioning

confidence: 99%

“…Based on simulations, the SINR distribution of the empirical data and the fitted PP models are evaluated w.r.t. a threshold in dB, then the suitable PP model is selected using envelope matching and eventually the RMSD method [66], [67], [117], [149]. • Geometry-based evaluation metrics (GBEM): Two main geometry characteristics are considered in the literature as higher-order properties in PP model selection, namely the Voronoi area distribution (VAD) [2], [66], [122], [150] and the Delaunay triangulation edges length distribution (DTELD) [102], [118]- [120].…”

Section: B Modeling Real Nodes Deploymentmentioning

confidence: 99%

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New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey

et al. 2021

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Next generation wireless networks are expected to be highly heterogeneous, multi-layered, with embedded intelligence at both the core and edge of the network. In such a context, system-level performance evaluation will be very important to formulate relevant insights into tradeoffs that govern such a complex system. Over the past decade, stochastic geometry (SG) has emerged as a powerful analytical tool to evaluate system-level performance of wireless networks and capture their tendency towards heterogeneity. However, with the imminent onset of this crucial new decade, where global commercialization of fifthgeneration (5G) is expected to emerge and essential research questions related to beyond fifth-generation (B5G) are intended to be identified, we are wondering about the role that a powerful tool like SG should play. In this paper, we first aim to track and summarize the novel SG models and techniques developed during the last decade in the evaluation of wireless networks. Next, we will outline how SG has been used to capture the properties of emerging radio access networks (RANs) for 5G/B5G and quantify the benefits of key enabling technologies. Finally, we will discuss new horizons that will breathe new life into the use of SG in the foreseeable future. For instance, using SG to evaluate performance metrics in the visionary paradigm of molecular communications. Also, we will review how SG is envisioned to cooperate with machine learning seen as a crucial component in the race towards ubiquitous wireless intelligence. Another important insight is Grothendieck toposes considered as a powerful mathematical concept that can help to solve longstanding problems formulated in SG.

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Section: A Classification Of Point Processesmentioning

confidence: 99%

Section: A Classification Of Point Processesmentioning

confidence: 99%

Section: B Modeling Real Nodes Deploymentmentioning

confidence: 99%

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New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey

et al. 2021

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“…In order to overcome these limitations, in this chapter, 1 we advocate the use of the perturbed triangular lattice (PTL), which can be tuned over the whole range between the deterministic TL and the PPP [15,42], for modelling the locations of the BSs. The PTL can be scaled with different densities for different simulation scenarios without changing the regularity of the deployment.…”

Section: Introductionmentioning

confidence: 99%

“…The PTL can be scaled with different densities for different simulation scenarios without changing the regularity of the deployment. Recently, the uniform PTL is found to be tractable in [42]. The PTL is also a simple model to simulate; as a consequence, it is practical and widely used in the industry [15].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Geometry-Based Tools for Spatial Modeling and Planning of Future Cellular Networks: Opportunistic Cell Switch-off and Strategic Deployment of Flying Base Stations

Lagum¹

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To meet the ever-increasing traffic demand in modern cellular networks, deploying more BSs has imposed is a vital solution. Cellular network (re-)planning is crucial to mitigate the interference and improve the network performance whenever more base stations (BSs) are deployed or some BSs are removed. Realistic spatial modelling for the locations of BSs and accurate quantification for their spatial relationship are prerequisites for effective network planning.In the first part of this thesis, we aim to describe the spatial structure of the BSs using two scalar measures: the density of the BSs and the amount of regularity. We investigate the use of three scalar metrics to measure the spatial relationships among the BSs in cellular networks. We propose a geometry-based scalar metric (the coefficient of variation (CoV) of the length of the corresponding edges of Delaunay triangulation) to quantify the spatial regularity of the repulsive wireless networks. This work develops new approaches for i) mapping between the internal parameters of different point processes commonly used to generate the BS locations, ii) approximating the performance of a repulsive network based on its amount of regularity, and iii) fitting point processes to the spatial deployment of BSs.In the second part, we develop a novel stochastic geometry-based cellular network planning technique that relies on the spatial structure of the network to determine the best deployment or removal locations of the BSs. First, we apply this technique for cell deactivation during the low demand periods. More specifically, cells are switched off so that the remaining active cells are as far away as possible from each other, which maximizes the spatial regularity of the network. The results show significant energy saving and network performance enhancement. Second, we exploit this approach for the strategic densification with UAV-BSs in cellular networks: The deployment of multiple UAV-BSs in the presence of a terrestrial network where the UAV-BSs provide on-demand capacity to the end users. This study provides supply-side estimation for how many UAV-BSs are needed to support a terrestrial network so as to achieve a iii particular quality-of-service and also demonstrate where these UAV-BSs should hover.iv Dedicated to whom this thesis matters most, My parents, Suliman and Saddina, my wife, Nisreen, and my childeren, Suliman and Rose.

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Joint User-Centric Clustering and Multi-cell Radio Resource Management in Coordinated Multipoint Joint Transmission

Shami

Grace

Burr

et al. 2022

Wireless Pers Commun

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Coordinated multipoint joint transmission (JT-CoMP) is a promising solution to address inter-cell interference in dense future wireless networks due its strength in converting interfering signals into useful signals, thereby enhancing capacity especially at the cell edge. However, allowing all user equipments (UEs) to operate using the JT-CoMP mode reduces the availability of radio resources. This paper develops an efficient algorithm that can identify which UEs will benefit from operating in a JT-CoMP mode and how to efficiently allocate radio resources from multiple base stations. Joint user-centric JT-CoMP clustering and multi-cell resource management is used in two steps where user-centric clusters are constructed as a first step and according to the clustering results obtained, resources are assigned. This paper also provides a new user-centric clustering approach that allows a user to utilize the JT-CoMP technique only if JT-CoMP boosts its rate above a certain threshold level. A multi-cell resource allocation scheme that can address the resource mismatching problem between cooperative BSs that happens due to load imbalance is proposed. Simulation results show that the proposed user-centric clustering algorithm outperforms the traditional power level difference scheme in terms of the system’s overall throughput as well as the throughput of cell-edge users. Also, results show that the performance of JT-CoMP is mainly affected by the user-centric approach and the amount of physical radio resources assigned to CoMP UEs.

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A Perturbed Hexagonal Lattice to Model Basestation Locations in Real-World Cellular Networks

Cited by 8 publications

References 10 publications

New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey

New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey

Stochastic Geometry-Based Tools for Spatial Modeling and Planning of Future Cellular Networks: Opportunistic Cell Switch-off and Strategic Deployment of Flying Base Stations

Joint User-Centric Clustering and Multi-cell Radio Resource Management in Coordinated Multipoint Joint Transmission

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