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A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

Base station (BS) cooperation is set to play a key role in managing interference in dense heterogeneous cellular networks (HCNs). Non-coherent joint transmission (JT) is particularly appealing due to its low complexity, smaller overhead,…

Information Theory · Computer Science 2014-02-18 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

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

In this paper we develop a tractable framework for SINR analysis in downlink heterogeneous cellular networks (HCNs) with flexible cell association policies. The HCN is modeled as a multi-tier cellular network where each tier's base stations…

Information Theory · Computer Science 2016-11-18 Han-Shin Jo , Young Jin Sang , Ping Xia , Jeffrey G. Andrews

Random spatial models are attractive for modeling heterogeneous cellular networks (HCNs) due to their realism, tractability, and scalability. A major limitation of such models to date in the context of HCNs is the neglect of network traffic…

Information Theory · Computer Science 2016-11-18 Harpreet S. Dhillon , Radha Krishna Ganti , Jeffrey G. Andrews

We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the best mean signal power. The mobile is in outage if the SINR…

Probability · Mathematics 2010-09-03 Laurent Decreusefond , Philippe Martins , Than-Tung Vu

A recent way to model and analyze downlink cellular networks is by using random spatial models. Assuming user equipment (UE) distribution to be uniform, the analysis is performed at a typical UE located at the origin. While this method of…

Information Theory · Computer Science 2016-11-17 Harpreet S. Dhillon , Radha Krishna Ganti , Jeffrey G. Andrews

Compared with conventional regular hexagonal cellular models, random cellular network models resemble real cellular networks much more closely. However, most studies of random cellular networks are based on the Poisson point process and do…

Networking and Internet Architecture · Computer Science 2017-11-01 Xiaohu Ge , Bangzheng Du , Qiang Li , Diomidis S. Michalopoulos

Disordered complex networks are of fundamental interest as stochastic models for information transmission over wireless networks. Well-known networks based on the Poisson point process model have limitations vis-a-vis network efficiency,…

Signal Processing · Electrical Eng. & Systems 2022-03-14 Subhro Ghosh , Naoto Miyoshi , Tomoyuki Shirai

Massive multiple-input multiple-output (MIMO) is a transmission technique for cellular systems that uses many antennas to support not-as-many users. Thus far, the performance of massive MIMO has only been examined in finite cellular…

Information Theory · Computer Science 2013-05-13 Tianyang Bai , Robert W. Heath,

A two-tier heterogeneous cellular network (HCN) with intra-tier and inter-tier dependence is studied. The macro cell deployment follows a Poisson point process (PPP) and two different clustered point processes are used to model the…

Information Theory · Computer Science 2016-05-03 Ejder Baştuğ , Mehdi Bennis , Marios Kountouris , Mérouane Debbah

This paper proposes a coverage-oriented femtocell network deployment scheme, in which the femtocell base stations (BSs) can decide whether to be active or inactive depending on their distances from the macrocell BSs. Specifically, as the…

Information Theory · Computer Science 2013-05-16 He Wang , Xiangyun Zhou , Mark C. Reed

Compared to the standard success (coverage) probability, the meta distribution of the signal-to-interference ratio (SIR) provides much more fine-grained information about the network performance. We consider general heterogeneous cellular…

Information Theory · Computer Science 2019-02-19 Sanket S. Kalamkar , Martin Haenggi

The correlation of interference has been well quantified in Poisson networks where the interferers are independent of each other. However, there exists dependence among the base stations (BSs) in wireless networks. In view of this, we…

Information Theory · Computer Science 2016-04-15 Juan Wen , Min Sheng , Kaibin Huang , Jiandong Li

Particle transport in Markov mixtures can be addressed by the so-called Chord Length Sampling (CLS) methods, a family of Monte Carlo algorithms taking into account the effects of stochastic media on particle propagation by generating…

Statistical Mechanics · Physics 2018-03-14 Colline Larmier , Andrea Zoia , Fausto Malvagi , Eric Dumonteil , Alain Mazzolo

The definition and the properties of a Gaussian point distribution, in contrast to the well-known properties of a Gaussian random field are discussed. Constraints for the number density and the two-point correlation function arise. A simple…

Astrophysics · Physics 2009-11-06 M. Kerscher

We consider the downlink of a cellular network with multiple cells and multi-antenna base stations, including a realistic distance-dependent pathloss model, clusters of cooperating cells, and general "fairness" requirements. Beyond Monte…

Information Theory · Computer Science 2016-11-17 Hoon Huh , Giuseppe Caire , Sung-Hyun Moon , Young-Tae Kim , Inkyu Lee

This letter analyzes the handover probability in a drone cellular network where the initial positions of drone base stations (DBSs) serving a set of user equipment (UE) on the ground are modeled by a homogeneous Poisson point process (PPP).…

Information Theory · Computer Science 2021-01-26 Morteza Banagar , Vishnu Vardhan Chetlur , Harpreet S. Dhillon

Falsification is the basis for testing existing hypotheses, and a great danger is posed when results incorrectly reject our prior notions (false positives). Though nonparametric and nonlinear exploratory methods of uncovering coupling…

Methodology · Statistics 2022-06-08 Ameer Ghouse , Gaetano Valenza

We study a clustering problem where the goal is to maximize the coverage of the input points by $k$ chosen centers. Specifically, given a set of $n$ points $P \subseteq \mathbb{R}^d$, the goal is to pick $k$ centers $C \subseteq…

Computational Geometry · Computer Science 2020-04-14 Arturs Backurs , Sariel Har-Peled