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We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under…

Probability · Mathematics 2014-11-20 Holger Paul Keeler , Nathan Ross , Aihua Xia

This paper deals with the secrecy capacity of the radio channel in interference-limited regime. We assume that interferers are uniformly scattered over the network area according to a Point Poisson Process and the channel model consists of…

Information Theory · Computer Science 2015-06-23 Hirley Alves , Carlos H. M. de Lima , Pedro. H. J. Nardelli , Richard Demo Souza , Matti Latva-aho

The utilization of extremely high frequency (EHF) bands can achieve very high throughput in satellite networks (SatNets). Nevertheless, the severe rain attenuation at EHF bands imposes strict limitations on the system availability. Smart…

Networking and Internet Architecture · Computer Science 2021-04-30 Christos N. Efrem , Athanasios D. Panagopoulos

This paper addresses how to improve the computational efficiency and estimation reliability in cascading outage analysis. We first formulate a cascading outage as a Markov chain with specific state space and transition probability by…

Systems and Control · Computer Science 2016-11-03 Jinpeng Guo , Feng Liu , Jianhui Wang , Junhao Lin , Shengwei Mei

This paper studies the outage capacity of a network consisting of a multitude of heterogenous mobile users, and operating according to the classical opportunistic beamforming framework. The base station is located at the center of the cell,…

Information Theory · Computer Science 2013-09-27 Tharaka Samarasinghe , Hazer Inaltekin , Jamie Evans

The $\kappa$-$\mu$ shadowed fading model is a very general fading model as it includes both $\kappa$-$\mu$ and $\eta$-$\mu$ as special cases. In this work, we derive the expression for outage probability when the signal-of-interest (SoI)…

Information Theory · Computer Science 2017-08-08 Suman Kumar , Sheetal Kalyani

Online transmission line outage detection over the entire network enables timely corrective action to be taken, which prevents a local event from cascading into a large scale blackout. Line outage detection aims to detect an outage as soon…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Xiaozhou Yang , Nan Chen , Chao Zhai

This paper presents a unified analysis of the mixed radio-frequency (RF)/free-space optics (FSO) relaying system, with multiple variable-gain amplify-and-forward relays. The partial relay selection (PRS) is employed to select the active…

Information Theory · Computer Science 2022-09-23 Milica I. Petkovic , Zeljen Trpovski

An ad hoc network with a finite spatial extent and number of nodes or mobiles is analyzed. The mobile locations may be drawn from any spatial distribution, and interference-avoidance protocols or protection against physical collisions among…

Information Theory · Computer Science 2013-04-22 Don Torrieri , Matthew C. Valenti

In this letter, we analyze power and rate adaptation in a point-to-point link with Rayleigh fading and impulsive interference. We model the impulsive interference as a Bernoulli-Gaussian random process. Adaptation is used to maximize the…

Information Theory · Computer Science 2016-05-13 Sudharsan Parthasarathy , Radha Krishna Ganti

The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze…

Information Theory · Computer Science 2013-07-19 Bo Bai , Wei Chen , Khaled B. Letaief , Zhigang Cao

An $\epsilon$-approximate incidence between a point and some geometric object (line, circle, plane, sphere) occurs when the point and the object lie at distance at most $\epsilon$ from each other. Given a set of points and a set of objects,…

Computational Geometry · Computer Science 2020-05-19 Dror Aiger , Haim Kaplan , Micha Sharir

Bayesian inference for spatial point patterns is often hindered computationally by intractable likelihoods. In the frequentist literature, estimating equations utilizing pseudolikelihoods have long been used for simulation-free parameter…

Methodology · Statistics 2025-07-24 Kevin M. Collins , Erin M. Schliep

In this paper, we study the characteristics of dominant interference power with directional reception in a random network modelled by a Poisson Point Process. Additionally, the Laplace functional of cumulative interference excluding the $n$…

Information Theory · Computer Science 2020-03-04 Dong Liu , Baptiste Cavarec , Lars K. Rasmussen , Jing Yue

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

Statistical Mechanics · Physics 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

Geographic locations of cellular base stations sometimes can be well fitted with spatial homogeneous Poisson point processes. In this paper we make a complementary observation: In the presence of the log-normal shadowing of sufficiently…

Networking and Internet Architecture · Computer Science 2015-02-11 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. This paper deals with the gap probability for the thinned/unthinned hard edge Pearcey process over the interval $(0,s)$ by working on the…

Mathematical Physics · Physics 2023-05-24 Dan Dai , Shuai-Xia Xu , Lun Zhang

This letter gives approximations to an integral appearing in the formula for downlink coverage probability of a typical user in Poisson point process (PPP) based stochastic geometry frameworks of the form $\int_0^\infty \exp\{ - (Ax + B…

Information Theory · Computer Science 2015-10-13 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

Random fields are useful mathematical tools for representing natural phenomena with complex dependence structures in space and/or time. In particular, the Gaussian random field is commonly used due to its attractive properties and…

This paper addresses the problem of outage characterization of an ambient backscatter communication system with a pair of passive tag and reader. In particular, an exact expression for the effective channel distribution is derived. Then,…

Information Theory · Computer Science 2019-05-29 Wenjing Zhao , Gongpu Wang , Saman Atapattu , Chintha Tellambura