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In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

Probability · Mathematics 2007-05-23 A. Rybko , S. Shlosman

This paper considers a cellular system with a full-duplex base station and half-duplex users. The base station can activate one user in uplink or downlink (half-duplex mode), or two different users one in each direction simultaneously…

Information Theory · Computer Science 2018-05-01 Shahram Shahsavari , David Ramirez , Elza Erkip

In this paper, we propose a methodology for estimating the statistics of the intercell interference power in the downlink of a multicellular network. We first establish an analytical expression for the probability law of the interference…

Information Theory · Computer Science 2011-07-22 Benoit Pijcke , Marie Zwingelstein-Colin , Marc Gazalet , Mohamed Gharbi , Patrick Corlay

In cellular networks, the densification of connected devices and base stations engender the ever-growing traffic intensity, and caching popular contents with smart management is a promising way to alleviate such consequences. Our research…

Information Theory · Computer Science 2021-03-25 Takehiro Ohashi

Based on the theory of hypernetwork and WeChat online social relations, the paper proposes an evolving hypernetwork model with the competitiveness and the age of nodes. In the model, nodes arrive at the system in accordance with Poisson…

Social and Information Networks · Computer Science 2015-11-06 Fu-Hong Wang , Jin-Li Guo , Ai-Zhong Shen , Qi Suo

Large-scale blockages like buildings affect the performance of urban cellular networks, especially at higher frequencies. Unfortunately, such blockage effects are either neglected or characterized by oversimplified models in the analysis of…

Information Theory · Computer Science 2013-09-18 Tianyang Bai , Rahul Vaze , Robert W. Heath

We develop an interference alignment (IA) technique for a downlink cellular system. In the uplink, IA schemes need channel-state-information exchange across base-stations of different cells, but our downlink IA technique requires feedback…

Information Theory · Computer Science 2015-03-13 Changho Suh , Minnie Ho , David Tse

The most studied continuum percolation model in two dimensions is the Boolean model consisting of disks with the same radius whose centers are randomly distributed on the Poisson point process (PPP). We also consider the Boolean percolation…

Statistical Mechanics · Physics 2021-07-07 Machiko Katori , Makoto Katori

Commonalities and differences in correlation analysis in terms of phase space, conditioning and uncorrelatedness are discussed. The Poisson process is not generally appropriate as reference distribution for normalisation and cumulants, so…

High Energy Physics - Experiment · Physics 2007-05-23 H. C. Eggers

A coupled cell network is a model for many situations such as food webs in ecosystems, cellular metabolism, economical networks... It consists in a directed graph $G$, each node (or cell) representing an agent of the network and each…

Dynamical Systems · Mathematics 2015-05-27 Romain Joly

The spatial structure of transmitters in wireless networks plays a key role in evaluating the mutual interference and hence the performance. Although the Poisson point process (PPP) has been widely used to model the spatial configuration of…

Information Theory · Computer Science 2014-01-16 Na Deng , Wuyang Zhou , Martin Haenggi

This paper provides an analytical framework with foundations in stochastic geometry to characterize the spatio-temporal interference correlation as well as the joint coverage probability at two spatial locations in a cellular network. In…

Information Theory · Computer Science 2016-06-17 Shankar Krishnan , Harpreet S. Dhillon

In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. Each base station moves at a constant speed in a random direction. A typical user…

Probability · Mathematics 2026-05-19 Sanjoy Kumar Jhawar , François Baccelli

Wireless cellular networks evolve towards a heterogeneous infrastructure, featuring multiple types of Base Stations (BSs), such as Femto BSs (FBSs) and Macro BSs (MBSs). A wireless device observes multiple points (BSs) through which it can…

Networking and Internet Architecture · Computer Science 2016-11-17 Katerina Smiljkovikj , Petar Popovski , Liljana Gavrilovska

In this paper, we study coverage probabilities of the UAV-assisted cellular network modeled by 2-dimension (2D) Poisson point process. The cellular user is assumed to connect to the nearest aerial base station. We derive the explicit…

Information Theory · Computer Science 2018-05-14 Lai Zhou , Zhi Yang , Shidong Zhou , Wei Zhang

We propose an analytic approach to the frequency bandwidth dimensioning problem, faced by cellular network operators who deploy/upgrade their networks in various geographical regions (countries) with an inhomogeneous urbanization. We…

Networking and Internet Architecture · Computer Science 2015-03-20 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray

Heterogeneous cellular networks provide significant improvements in terms of increased data rates and cell coverage, and offer reduced user rate starvation. However, there are important problems to be solved. In this paper, we identify that…

Networking and Internet Architecture · Computer Science 2013-05-14 Kemal Davaslioglu , Ender Ayanoglu

An uplink-downlink two-cell cellular network is studied in which the first base station (BS) with $M_1$ antennas receives independent messages from its $N_1$ serving users, while the second BS with $M_2$ antennas transmits independent…

Information Theory · Computer Science 2014-10-28 Sang-Woon Jeon , Changho Suh

In this paper, we analyse the coverage probability and the area spectral efficiency (ASE) for the uplink (UL) of dense small cell networks (SCNs) considering a practical path loss model incorporating both line-of-sight (LoS) and…

Information Theory · Computer Science 2017-01-05 Tian Ding , Ming Ding , Guoqiang Mao , Zihuai Lin , David Lopez-Perez , Albert Zomaya

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

Information Theory · Computer Science 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux