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We study large-deviation principles for a model of wireless networks consisting of Poisson point processes of transmitters and receivers, respectively. To each transmitter we associate a family of connectable receivers whose…

Probability · Mathematics 2015-06-02 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson

This work analyzes the gains of cooperative relaying in interference-limited networks, in which outages can be due to interference and fading. A stochastic model based on point process theory is used to capture the spatial randomness…

Information Theory · Computer Science 2016-11-17 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is that strategic observation sets are enough to guarantee…

Optimization and Control · Mathematics 2024-11-11 Jean-Guy Caputo , Adel Hamdi

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

We study wireless ad hoc networks in the absence of any channel contention or transmit power control and ask how antenna directivity affects network connectivity in the interference limited regime. We answer this question by deriving…

Networking and Internet Architecture · Computer Science 2016-04-26 Orestis Georgiou , Shanshan Wang , Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon

It is known that electrical networks with resistors are related to the Laplace operator and random walk on weighted graphs. In this paper we consider more general electrical networks with coils, capacitors, and resistors. We give two…

Combinatorics · Mathematics 2021-03-05 Anna Muranova

We investigate the concept of effective resistance in connection graphs, expanding its traditional application from undirected graphs. We propose a robust definition of effective resistance in connection graphs by focusing on the duality of…

Discrete Mathematics · Computer Science 2023-08-22 Alexander Cloninger , Gal Mishne , Andreas Oslandsbotn , Sawyer Jack Robertson , Zhengchao Wan , Yusu Wang

We consider two-dimensional L\'evy processes reflected to stay in the positive quadrant. Our focus is on the non-standard regime when the mean of the free process is negative but the reflection vectors point away from the origin, so that…

Probability · Mathematics 2024-03-25 Vladimir Fomichov , Sandro Franceschi , Jevgenijs Ivanovs

Doppler effect is a fundamental phenomenon that appears in wave propagation, where a moving observer experiences dilation or contraction of wavelength of a wave. It also appears in radio frequency (RF) wireless communication when there…

Information Theory · Computer Science 2019-04-09 Dushyantha A. Basnayaka , Tharmalingam Ratnarajah

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

Effect of interference correlation on wireless systems is often studied by modeling the locations of interferers as a Poisson Point Process (PPP). However, in many cases, the complicated nature of this correlation limits the analytical…

Information Theory · Computer Science 2018-10-09 Arindam Ghosh , Harpreet S. Dhillon

Interference in wireless systems is both temporally and spatially correlated. Yet very little research has analyzed the effect of such correlation. Here we focus on its impact on the diversity in Poisson networks with multi-antenna…

Information Theory · Computer Science 2012-04-23 Martin Haenggi

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

A technique is presented to characterize the Signal-to-Interference-plus-Noise Ratio (SINR) of a representative link with a multiantenna linear Minimum-Mean-Square-Error receiver in a wireless network with transmitting nodes distributed…

Information Theory · Computer Science 2016-11-17 Junjie Zhu , Siddhartan Govindasamy , Jeff Hwang

We propose a new class of algorithms for randomly scheduling network transmissions. The idea is to use (discrete) determinantal point processes (subsets) to randomly assign medium access to various {\em repulsive} subsets of potential…

Networking and Internet Architecture · Computer Science 2020-06-11 Bartek Błaszczyszyn , Antoine Brochard , H. Paul Keeler

We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed deterministically or randomly according to a hard core or Poisson…

Networking and Internet Architecture · Computer Science 2016-10-04 Nathan Ross , Dominic Schuhmacher

In the analysis of large random wireless networks, the underlying node distribution is almost ubiquitously assumed to be the homogeneous Poisson point process. In this paper, the node locations are assumed to form a Poisson clustered…

Information Theory · Computer Science 2010-10-11 RadhaKrishna Ganti , Martin Haenggi

The effect of full-duplex cooperative relaying in a random access multiuser network is investigated here. First, we model the self-interference incurred due to full-duplex operation, assuming multi-packet reception capabilities for both the…

Information Theory · Computer Science 2016-11-17 Nikolaos Pappas , Marios Kountouris , Anthony Ephremides , Apostolos Traganitis

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

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