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It has recently been observed that the SIR distributions of a variety of cellular network models and transmission techniques look very similar in shape. As a result, they are well approximated by a simple horizontal shift (or gain) of the…

Information Theory · Computer Science 2015-11-30 Radha K. Ganti , Martin Haenggi

This paper surveys and unifies a number of recent contributions that have collectively developed a metric for decentralized wireless network analysis known as transmission capacity. Although it is notoriously difficult to derive general…

Information Theory · Computer Science 2016-11-17 Steven Weber , Jeffrey G. Andrews , Nihar Jindal

The class of Gibbs point processes (GPP) is a large class of spatial point processes able to model both clustered and repulsive point patterns. They are specified by their conditional intensity, which for a point pattern $\mathbf{x}$ and a…

Statistics Theory · Mathematics 2023-01-09 Ismaïla Ba , Jean-François Coeurjolly , Francisco Cuevas-Pacheco

We provide a primer to numerical methods based on Taylor series expansions such as generalized finite difference methods and collocation methods. We provide a detailed benchmarking strategy for these methods as well as all data files…

This paper considers the time evolution of a queue that is embedded in a Poisson point process of moving wireless interferers. The queue is driven by an external arrival process and is subject to a time-varying service process that is a…

Information Theory · Computer Science 2021-04-14 Nithin S. Ramesan , François Baccelli

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

Wireless 802.11 links operate in unlicensed spectrum and so must accommodate other unlicensed transmitters which generate pulsed interference. We propose a new approach for detecting the presence of pulsed interference affecting 802.11…

Networking and Internet Architecture · Computer Science 2011-07-28 Brad W. Zarikoff , Douglas J. Leith

The spatial-and-temporal correlation of interference has been well studied in Poisson networks where the interfering base stations (BSs) are independent of each other. However, there exists spatial interdependence including attraction and…

Information Theory · Computer Science 2017-04-04 Juan Wen , Min Sheng , Kaibin Huang , Jiandong Li

Interference is ubiquitous when conducting causal experiments over networks. Except for certain network structures, causal inference on the network in the presence of interference is difficult due to the entanglement between the treatment…

Methodology · Statistics 2023-12-08 Chencheng Cai , Xu Zhang , Edoardo M. Airoldi

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

Probability · Mathematics 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

The impedances of cables and lines used in (multi-conductor) distribution networks are usually unknown or approximated, and may lead to problematic results for any physics-based power system calculation, e.g., (optimal) power flow. Learning…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Marta Vanin , Frederik Geth , Rahmat Heidari , Dirk Van Hertem

We present a novel Bayesian framework for inverse problems in which the pos terior distribution is interpreted as the intensity measure of a Poisson point process (PPP). The posterior density is approximated using kernel density estimation,…

Numerical Analysis · Mathematics 2025-10-08 Zhiliang Deng , Zhiyuan Wang , Xiaomei Yang , Xiaofei Guan

In wireless communication networks, interference models are routinely used for tasks such as performance analysis, optimization, and protocol design. These tasks are heavily affected by the accuracy and tractability of the interference…

Information Theory · Computer Science 2017-10-10 Hossein Shokri-Ghadikolaei , Carlo Fischione , Eytan Modiano

We consider the detection of a correlated random process immersed in noise in a wireless sensor network. Each node has an individual energy constraint and the communication with the processing central units are affected by the path loss…

Information Theory · Computer Science 2015-09-15 Juan Augusto Maya , Cecilia G. Galarza , Leonardo Rey Vega

Stochastic orders on point processes are partial orders which capture notions like being larger or more variable. Laplace functional ordering of point processes is a useful stochastic order for comparing spatial deployments of wireless…

Information Theory · Computer Science 2018-06-27 Junghoon Lee , Cihan Tepedelenlioglu

A fine-grained analysis of network performance is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous networks where the base stations…

Information Theory · Computer Science 2022-01-20 Le Yang , Fu-Chun Zheng , Shi Jin

The problem of computing a connected network with minimum interference is a fundamental problem in wireless sensor networks. Several models of interference have been studied in the literature. The most common model is the receiver-centric,…

Computational Geometry · Computer Science 2020-04-21 A. Karim Abu-Affash , Paz Carmi , Matthew J. Katz

In this paper, we present a detailed framework to analyze the evolution of the random topology of a time-varying wireless network via the information theoretic notion of entropy rate. We consider a propagation channel varying over time with…

Information Theory · Computer Science 2018-11-08 Arta Cika , Mihai-Alin Badiu , Justin P. Coon , Shahriar Etemadi Tajbakhsh

Preserving security and confidentiality in wireless sensor networks (WSN) are crucial. Wireless sensor networks in comparison with wired networks are more substantially vulnerable to attacks and intrusions. In WSN, a third person can…

Networking and Internet Architecture · Computer Science 2012-08-13 A. Forootaninia , M. B. Ghaznavi-Ghoushchi

Determining whether nodes can be localized, called localizability detection, is essential for wireless sensor networks (WSNs). This step is required for localizing nodes, achieving low-cost deployments, and identifying prerequisites in…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Hejun Wu , Ao Ding , Lvzhou Li