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Related papers: Distance Distributions for Real Cellular Networks

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This paper investigates the problem of distributed medium access control in a time slotted wireless multiple access network with an unknown finite number of homogeneous users. Assume that each user has a single transmission option. In each…

Information Theory · Computer Science 2018-11-28 Yanru Tang , Faeze Heydaryan , Jie Luo

It is usual, in gamma-ray burst (GRB) studies, to compare the average properties of bright and faint GRBs, with the assumption that brightness classes reflect distance classes. When brightness is intented to reflect the distance to the…

Astrophysics · Physics 2008-02-03 J-L. Atteia

In this paper, we propose a method for estimating the distribution of time differences between connected events (such as ad impressions and corresponding customer calls). A special feature of this method is that it does not require matching…

Methodology · Statistics 2018-02-07 Alexey Kurennoy

We investigate a relationship network of humans located in a metric space where relationships are drawn according to a distance-dependent probability density. The obtained spatial graph allows us to calculate the average separation of…

Physics and Society · Physics 2007-05-23 Matus Medo

In this paper, we establish a novel connection between total variation (TV) distance estimation and probabilistic inference. In particular, we present an efficient, structure-preserving reduction from relative approximation of TV distance…

Data Structures and Algorithms · Computer Science 2024-07-02 Arnab Bhattacharyya , Sutanu Gayen , Kuldeep S. Meel , Dimitrios Myrisiotis , A. Pavan , N. V. Vinodchandran

This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing/communication radius. Based on the…

Optimization and Control · Mathematics 2007-05-23 Jorge Cortes , Sonia Martinez , Francesco Bullo

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

This paper studies joint spectrum allocation and user association in large heterogeneous cellular networks. The objective is to maximize some network utility function based on given traffic statistics collected over a slow timescale,…

Information Theory · Computer Science 2018-10-17 Binnan Zhuang , Dongning Guo , Ermin Wei , Michael L. Honig

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

The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

Methodology · Statistics 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

The lognormal distribution describing, e.g., exponentials of Gaussian random variables is one of the most common statistical distributions in physics. It can exhibit features of broad distributions that imply qualitative departure from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 M. Romeo , V. Da Costa , F. Bardou

The dispersion of fast radio bursts (FRBs) is a measure of the large-scale electron distribution. It enables measurements of cosmological parameters, especially of the expansion rate and the cosmic baryon fraction. The number of events is…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-19 Robert Reischke , Steffen Hagstotz

The $\mathcal{G}^0$ distribution is widely used for monopolarized SAR image modeling because it can characterize regions with different degree of texture accurately. It is indexed by three parameters: the number of looks (which can be…

Methodology · Statistics 2019-04-25 Alejandro C. Frery , Juliana Gambini

Fluid antenna enables position reconfigurability that gives transceiver access to a high-resolution spatial signal and the ability to avoid interference through the ups and downs of fading channels. Previous studies investigated this fluid…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Tianyu Han , Yongxu Zhu , Kai-Kit Wong , Gan Zheng , Hyundong Shin

We report on a data-driven investigation aimed at understanding the dynamics of message spreading in a real-world dynamical network of human proximity. We use data collected by means of a proximity-sensing network of wearable sensors that…

Networking and Internet Architecture · Computer Science 2012-08-09 André Panisson , Alain Barrat , Ciro Cattuto , Wouter Van den Broeck , Giancarlo Ruffo , Rossano Schifanella

Mobile contact tracing apps are -- in principle -- a perfect aid to condemn the human-to-human spread of an infectious disease such as COVID-19 due to the wide use of smartphones worldwide. Yet, the unknown accuracy of contact estimation by…

Information Retrieval · Computer Science 2021-05-06 Bernhard Etzlinger , Barbara Nußbaummüller , Philipp Peterseil , Karin Anna Hummel

Consider a random geometric graph defined on $n$ vertices uniformly distributed in the $d$-dimensional unit torus. Two vertices are connected if their distance is less than a "visibility radius" $r_n$. We consider {\sl Bluetooth networks}…

Probability · Mathematics 2014-02-18 Nicolas Broutin , Luc Devroye , Gábor Lugosi

In relay-enabled cellular networks, the intertwined nature of network agents calls for complex schemes to allocate wireless resources. Resources need to be distributed among mobile users while considering how relay resources are allocated,…

Networking and Internet Architecture · Computer Science 2024-02-06 Edgar Arribas , Vicent Cholvi , Vincenzo Mancuso

Directional beamforming will play a paramount role in 5G and beyond networks in order to combat the higher path losses incurred at millimeter wave bands. Appropriate modeling and analysis of the angles and distances between transmitters and…

We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission…

Optics · Physics 2025-11-07 Yunrui Wang , Cheng Guo