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This paper studies the information-theoretic secrecy performance in large-scale cellular networks based on a stochastic geometry framework. The locations of both base stations and mobile users are modeled as independent two-dimensional…

Information Theory · Computer Science 2014-01-09 He Wang , Xiangyun Zhou , Mark C. Reed

A heterogenous network with base stations (BSs), small base stations (SBSs) and users distributed according to independent Poisson point processes is considered. SBS nodes are assumed to possess high storage capacity and to form a…

Information Theory · Computer Science 2016-11-17 B. N. Bharath , K. G. Nagananda , H. Vincent Poor

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

Interference field in wireless networks is often modeled by a homogeneous Poisson Point Process (PPP). While it is realistic in modeling the inherent node irregularity and provides meaningful first-order results, it falls short in modeling…

Information Theory · Computer Science 2016-11-15 Zeinab Yazdanshenasan , Harpreet S. Dhillon , Mehrnaz Afshang , Peter Han Joo Chong

We characterize the rate coverage distribution for a spectrum-shared millimeter wave downlink cellular network. Each of multiple cellular operators owns separate mmWave bandwidth, but shares the spectrum amongst each other while using…

Information Theory · Computer Science 2017-09-20 Jeonghun Park , Jeffrey G. Andrews , Robert W. Heath

We develop a probability-based multi-path location model for an optimal deployment of alternative fueling stations (AFSs) on a transportation network. Distinct from prior research efforts in AFS problems, in which all demands are deemed as…

Optimization and Control · Mathematics 2018-05-17 Shengyin Li , Yongxi Huang

We characterize a multi tier network with classical macro cells, and multi radio access technology (RAT) small cells, which are able to operate in microwave and millimeter-wave (mm-wave) bands. The small cells are assumed to be deployed…

Information Theory · Computer Science 2017-04-10 Gourab Ghatak , Antonio De Domenico , Marceau Coupechoux

We consider a road network represented by a directed graph. We assume to collect many measurements of traffic flows on all the network arcs, or on a subset of them. We assume that the users are divided into different groups. Each group…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Mattia Laurini , Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

The Poisson distribution of order $k$ is a special case of a compound Poisson distribution. For $k=1$ it is the standard Poisson distribution. Although its probability mass function (pmf) is known, what is lacking is a $visual$…

Probability · Mathematics 2023-09-26 S. R. Mane

We propose a general modeling framework for marked Poisson processes observed over time or space. The modeling approach exploits the connection of the nonhomogeneous Poisson process intensity with a density function. Nonparametric Dirichlet…

Methodology · Statistics 2011-11-02 Matthew A. Taddy , Athanasios Kottas

We consider a stationary Poisson hyperplane process with given directional distribution and intensity in $d$-dimensional Euclidean space. Generalizing the zero cell of such a process, we fix a convex body $K$ and consider the intersection…

Probability · Mathematics 2013-12-17 Daniel Hug , Rolf Schneider

We propose the Poisson neural networks (PNNs) to learn Poisson systems and trajectories of autonomous systems from data. Based on the Darboux-Lie theorem, the phase flow of a Poisson system can be written as the composition of (1) a…

Machine Learning · Computer Science 2020-12-08 Pengzhan Jin , Zhen Zhang , Ioannis G. Kevrekidis , George Em Karniadakis

Multi-cell cooperation (MCC) is an approach for mitigating inter-cell interference in dense cellular networks. Existing studies on MCC performance typically rely on either over-simplified Wyner-type models or complex system-level…

Information Theory · Computer Science 2012-12-07 Kaibin Huang , Jeffrey G. Andrews

This paper considers the Poisson equation for general state-space Markov chains in continuous time. The main purpose of this paper is to present specific bounds for the solutions of the Poisson equation for general state-space Markov…

Probability · Mathematics 2019-09-18 Hiroyuki Masuyama

The demand for communication services in the era of intelligent terminals is unprecedented and huge. To meet such development, modern wireless communications must provide higher quality services with higher energy efficiency in terms of…

Information Theory · Computer Science 2018-01-30 Xuming Yao , Yingying Sun , Tao Han

The homogeneous poisson point process (PPP) is widely used to model temporal, spatial or both topologies of base stations (BSs) and mobile terminals (MTs). However, negative spatial correlation in BSs, due to strategical deployments, and…

Information Theory · Computer Science 2016-03-08 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Ali Riza Ekti , Muhammad Ali Imran , Rahim Tafazolli

This work is devoted to the problem of estimation of the localization of Poisson source. The observations are inhomogeneous Poisson processes registered by the $k\geq 3$ detectors on the plane. We study the behavior of the Bayes estimators…

Statistics Theory · Mathematics 2018-06-20 O. V. Chernoyarov , S. Dachian , Yu. A. Kutoyants

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

In this manuscript we tackle the problem of semi-distributed user selection with distributed linear precoding for sum rate maximization in multiuser multicell systems. A set of adjacent base stations (BS) form a cluster in order to perform…

Information Theory · Computer Science 2015-04-29 Eduardo Castañeda , Adão Silva , Ramiro Samano-Robles , Atilio Gameiro

Current approaches for collision avoidance and space traffic management face many challenges, mainly due to the continuous increase in the number of objects in orbit and the lack of scalable and automated solutions. To avoid catastrophic…

Machine Learning · Computer Science 2023-11-17 Marta Guimarães , Cláudia Soares , Chiara Manfletti