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A general stochastic model is developed for the total interference in wideband systems, denoted as the PNSC(alpha) Interference Model. It allows one to obtain, analytic representations in situations where (a) interferers are distributed…

Applications · Statistics 2012-07-09 Gareth W. Peters , Ido Nevat , Francois Septier , Laurent Clavier

This paper is concerned with the theoretical modeling and analysis of uplink connection performance of a radiosonde network deployed in a typhoon. Similar to existing works, the stochastic geometry theory is leveraged to derive the…

Networking and Internet Architecture · Computer Science 2024-11-12 Hanyi Liu , Xianbin Cao , Peng Yang , Zehui Xiong , Tony Q. S. Quek , Dapeng Oliver Wu

We study the behavior of epidemic routing in a delay tolerant network as a function of node density. Focusing on the probability of successful delivery to a destination within a deadline (PS), we show that PS experiences a phase transition…

Networking and Internet Architecture · Computer Science 2020-02-13 Leila Rashidi , Don Towsley , Arman Mohseni-Kabir , Ali Movaghar

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

We consider a class of point processes (pp), which we call {\em sub-Poisson}; these are pp that can be directionally-convexly ($dcx$) dominated by some Poisson pp. The $dcx$ order has already been shown useful in comparing various point…

Probability · Mathematics 2012-12-05 Bartlomiej Blaszczyszyn , D. Yogeshwaran

With the ever-growing communication demands and the unceasing miniaturization of mobile devices, the Internet of Things is expanding the amount of mobile terminals to an enormous level. To deal with such numbers of communication data,…

Signal Processing · Electrical Eng. & Systems 2022-04-08 He Zhou , Haibo Zhou , Jianguo Li , Kai Yang , Jianping An , Xuemin , Shen

In vehicle-to-all (V2X) communications, roadside units (RSUs) play an essential role in connecting various network devices. In some cases, users may not be well-served by RSUs due to congestion, attenuation, or interference. In these cases,…

Signal Processing · Electrical Eng. & Systems 2024-02-27 Chang-Sik Choi , François Baccelli

A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model and a Poisson model of random spatial distribution of nodes in 1-D, 2-D and 3-D spaces with both uniform and…

Information Theory · Computer Science 2009-06-01 Vladimir Mordachev , Sergey Loyka

Future wireless networks are required to support 1000 times higher data rate, than the current LTE standard. In order to meet the ever increasing demand, it is inevitable that, future wireless networks will have to develop seamless…

Information Theory · Computer Science 2015-06-23 Young Jin Chun , Mazen Omar Hasna , Ali Ghrayeb , Marco Di Renzo

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS)…

Information Theory · Computer Science 2019-08-29 Praful D. Mankar , Priyabrata Parida , Harpreet S. Dhillon , Martin Haenggi

In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. We consider a more general hole shape, i.e. circular sector holes in a random direction, to capture the spatial separation between tiers in a…

Information Theory · Computer Science 2018-12-17 Mehdi Sattari , Aliazam Abbasfar

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana

Despite coverage enhancement in rural areas is one of the main requirements in next generations of wireless networks (i.e., 5G and 6G), the low expected profit prevents telecommunication providers from investing in such sparsely populated…

Networking and Internet Architecture · Computer Science 2021-11-23 Maurilio Matracia , Mustafa A. Kishk , Mohamed-Slim Alouini

Heterogeneous cellular networks (HCNs) usually exhibit spatial separation amongst base stations (BSs) of different types (termed tiers in this paper). For instance, operators will usually not deploy a picocell in close proximity to a…

Information Theory · Computer Science 2017-04-11 Zeinab Yazdanshenasan , Harpreet S. Dhillon , Peter Han Joo Chong

In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. The street system is modeled by a Poisson-Delaunay triangulation (PDT). Users are of two types: given either by a Cox process…

Probability · Mathematics 2024-02-14 David Corlin Marchand , David Coupier , Benoît Henry

In wireless channels, the path loss exponent (PLE) has a strong impact on the quality of links, and hence, it needs to be accurately estimated for the efficient design and operation of wireless networks. In this paper, we address the…

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

This paper studied the fundamental modeling defect existing in Poisson-distributed cellular networks in which all base stations form a homogeneous Poisson point process (PPP) of intensity $\lambda_B$ and all users form another independent…

Information Theory · Computer Science 2015-02-10 Chun-Hung Liu , Li-Chun Wang

In this paper, we consider the problem of modelling the average delay experienced by a packet in a single cell IEEE 802.11 DCF wireless local area network. The packet arrival process at each node i is assumed to be Poisson with rate…

Networking and Internet Architecture · Computer Science 2010-09-23 Albert Sunny , Joy Kuri , Saurabh Aggarwal

We present a simple model reproducing the long-range autocorrelations and the power spectrum of the web traffic. The model assumes the traffic as Poisson flow of files with size distributed according to the power-law. In this model the…

Networking and Internet Architecture · Computer Science 2007-05-23 V. Gontis , B. Kaulakys , J. Ruseckas

In this letter, we characterize the distribution of the number of users associated with the typical base station (BS), termed the typical cell load, in a cellular network where the BSs are distributed as a homogeneous Poisson point process…

Information Theory · Computer Science 2020-04-22 Chiranjib Saha , Harpreet S. Dhillon
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