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While analyzing mobile systems we often approximate the actual coverage surface and assume an ideal cell shape. In a multi-cellular network, because of its tessellating nature, a hexagon is more preferred than a circular geometry. Despite…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan

The emulation of wireless nodes spatial position is a practice used by deployment engineers and network planners to analyze the characteristics of a network. In particular, nodes geolocation will directly impact factors such as…

Information Theory · Computer Science 2013-06-06 Mouhamed Abdulla , Yousef R. Shayan

In literature, a stochastic model for spreading nodes in a cellular cell is available. Despite its existence, the current method does not offer any versatility in dealing with sectored layers. Of course, this needed adaptability could be…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan , Junho Baek

There have been a bulk of analytic results about the performance of cellular networks where base stations are regularly located on a hexagonal or square lattice. This regular model cannot reflect the reality, and tends to overestimate the…

Networking and Internet Architecture · Computer Science 2015-03-19 Seung Min Yu , Seong-Lyun Kim

The need to carry out analytical studies of wireless systems often motivates the usage of simplified models which, despite their tractability, can easily lead to an overestimation of the achievable performance. In the case of dense small…

Information Theory · Computer Science 2015-06-08 Carlo Galiotto , Nuno K. Pratas , Nicola Marchetti , Linda Doyle

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported…

Information Theory · Computer Science 2016-11-15 Marco Di Renzo

Handover rate is one of the most import metrics to instruct mobility management and resource management in wireless cellular networks. In the literature, the mathematical expression of handover rate has been derived for homogeneous cellular…

Information Theory · Computer Science 2015-01-08 Bin Fang , Wuyang Zhou

Due to the increasing heterogeneity and deployment density of emerging cellular networks, new flexible and scalable approaches for their modeling, simulation, analysis and optimization are needed. Recently, a new approach has been proposed:…

Information Theory · Computer Science 2015-06-15 Wei Lu , Marco Di Renzo

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from experimental data recently…

Information Theory · Computer Science 2016-11-17 Marco Di Renzo

In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are randomly distributed in the same hexagon, and two adjacent…

General Mathematics · Mathematics 2021-01-26 Yanyan Zhuang , Jianping Pan

Multi-cell cooperation is a promising approach for mitigating inter-cell interference in dense cellular networks. Quantifying the performance of multi-cell cooperation is challenging as it integrates physical-layer techniques and network…

Information Theory · Computer Science 2011-03-23 Kaibin Huang , Jeffrey G. Andrews

Distance distributions are a key building block in stochastic geometry modelling of wireless networks and in many other fields in mathematics and science. In this paper, we propose a novel framework for analytically computing the closed…

Information Theory · Computer Science 2019-03-20 Ross Pure , Salman Durrani , Fei Tong , Jianping Pan

We are interested in the assessment of electromagnetic Path-Loss in complex environments. The Path-loss is the attenuation function $P$ of the electromagnetic power at a distance $d$ of an antenna. In free-space, $P(d) \propto 1/d^2$, in…

Probability · Mathematics 2016-04-05 Thomas Courtat , Laurent Decreusefond , Phillipe Martins

This letter presents a unified analytical framework for internodal distance distributions in 2D and 3D wireless networks, with nodes confined to concentric circular or spherical regions. Four deployment scenarios are considered, covering…

Signal Processing · Electrical Eng. & Systems 2026-03-05 Nicholas Vaiopoulos , Alexander Vavoulas , Harilaos G. Sandalidis , Konstantinos K. Delibasis , Dimitris Varoutas

In this paper, two-dimensional percolation lattices are applied to describe wireless propagation environment, and stochastic rays are employed to model the trajectories of radio waves. We first derive the probability that a stochastic ray…

Information Theory · Computer Science 2007-07-13 Luoquan Hu , Han Yu , Yifan Chen

Network densification and heterogenisation through the deployment of small cellular access points (picocells and femtocells) are seen as key mechanisms in handling the exponential increase in cellular data traffic. Modelling such networks…

Networking and Internet Architecture · Computer Science 2017-05-11 Pete Pratt , Carl P. Dettmann , Orestis Georgiou

Spatial modeling of wireless networks via analytical means has been considered as a widely practiced mechanism for inference. As a result, some geometrical deployment models have been proposed in literature. Although practical in certain…

Information Theory · Computer Science 2014-10-28 Mouhamed Abdulla

Communications using frequency bands in the millimeter-wave range can play a key role in future generations of mobile networks. By allowing large bandwidth allocations, high carrier frequencies will provide high data rates to support the…

Networking and Internet Architecture · Computer Science 2017-05-08 Cristian Tatino , Ilaria Malanchini , Danish Aziz , Di Yuan

To understand the spatial deployment of base stations (BSs) is the first step to analyze the performance of cellular networks and further design efficient networking protocols. Poisson point process (PPP), which has been widely adopted to…

Information Theory · Computer Science 2018-11-20 Rongpeng Li , Zhifeng Zhao , Yi Zhong , Chen Qi , Honggang Zhang
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