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Interleaving is a mechanism universally used in wireless access technologies to alleviate the effect of channel correlation. In spite of its wide adoption, to the best of our knowledge, there are no analytical models proposed so far. In…

Information Theory · Computer Science 2018-01-31 Dmitri Moltchanov , Pavel Kustarev , Yevgeni Kucharyavy

A general open problem in networking is: what are the fundamental limits to the performance that is achievable with some given amount of resources? More specifically, if each node in the network has information about only its $1$-hop…

Information Theory · Computer Science 2020-07-17 Ashwin Ganesan

Message passing (MP) is a computational technique used to find approximate solutions to a variety of problems defined on networks. MP approximations are generally accurate in locally tree-like networks but require corrections to maintain…

Physics and Society · Physics 2023-09-27 George T. Cantwell , Alec Kirkley , Filippo Radicchi

Spatial interference alignment among a finite number of users is proposed as a technique to increase the probability of successful transmission in an interference limited clustered wireless ad hoc network. Using techniques from stochastic…

Information Theory · Computer Science 2010-01-14 R. Tresch , M. Guillaud

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

Statistics Theory · Mathematics 2021-07-24 MengXu , Qiuping Wang

Unmanned aerial vehicles (UAVs) are expected to coexist with conventional terrestrial cellular networks and become an important component to support high rate transmissions. This paper presents an analytical framework for evaluating the…

Networking and Internet Architecture · Computer Science 2021-06-09 Mengbing Liu , Guangji Chen , Ling Qiu

This article proposes and evaluates a technique to predict the level of interference in wireless networks. We design a recursive predictor that estimates future interference values by filtering measured interference at a given location. The…

Machine Learning · Computer Science 2021-02-11 Jorge F. Schmidt , Udo Schilcher , Mahin K. Atiq , Christian Bettstetter

A fine-grained analysis of the cache-enabled networks 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…

Information Theory · Computer Science 2020-09-17 Le Yang , Fu-Chun Zheng , Shi Jin

As wireless systems grow rapidly worldwide, one of the most important things, wireless systems designers and service providers faces is interference. Interference decreases coverage, capacity [1], and limits the effectiveness of both new…

Networking and Internet Architecture · Computer Science 2018-11-01 Zeeshan Haider , Muhammad Saleem , T. Jamal

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

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

The random connection model is a random graph whose vertices are given by the points of a Poisson process and whose edges are obtained by randomly connecting pairs of Poisson points in a position dependent but independent way. We study…

Probability · Mathematics 2018-08-06 Günter Last , Franz Nestmann , Matthias Schulte

The current analysis of wireless networks whose transceivers are confined to streets is largely based on Poissonian models, such as Poisson line processes and Poisson line Cox processes. We demonstrate important scenarios where a model with…

Information Theory · Computer Science 2023-06-14 Mohammad Taha Shah , Gourab Ghatak , Souradip Sanyal , Martin Haenggi

We analytically derive mean-field models for all-to-all coupled networks of heterogeneous, adapting, two-dimensional integrate and fire neurons. The class of models we consider includes the Izhikevich, adaptive exponential, and quartic…

Neurons and Cognition · Quantitative Biology 2013-09-20 Wilten Nicola , Sue Ann Campbell

Particle-in-Cell (PIC) simulations are widely used for modeling plasma kinetics by tracking discrete particle dynamics. However, their computational cost remains prohibitively high, due to the need to simulate large numbers of particles to…

Computational Physics · Physics 2025-04-29 Jianhua Lv , Linlin Zhong

In this paper, we consider the effect of feedback channel error on the throughput of one-hop wireless networks under the random connection model. The transmission strategy is based on activating source-destination pairs with strongest…

Information Theory · Computer Science 2013-08-13 Seyed Pooya Shariatpanahi , Hamed Shah-Mansouri , Babak Hossein Khalaj

Low-power wide-area network (LPWAN) technologies are gaining momentum for internet-of-things (IoT) applications since they promise wide coverage to a massive number of battery-operated devices using grant-free medium access. LoRaWAN, with…

Information Theory · Computer Science 2018-08-07 Aamir Mahmood , Emiliano Sisinni , Lakshmikanth Guntupalli , Raúl Rondón , Syed Ali Hassan , Mikael Gidlund

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

This article re-examines the fundamental notion of interference in wireless networks by contrasting traditional approaches to new concepts that handle interference in a creative way. Specifically, we discuss the fundamental limits of the…

We introduce a transformation of a Neural Radiance Field (NeRF) to an equivalent Poisson Point Process (PPP). This PPP transformation allows for rigorous quantification of uncertainty in NeRFs, in particular, for computing collision…

Robotics · Computer Science 2024-07-04 Timothy Chen , Preston Culbertson , Mac Schwager