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We propose a new cellular network model that captures both deterministic and random aspects of base station deployments. Namely, the base station locations are modeled as the superposition of two independent stationary point processes: a…

Information Theory · Computer Science 2017-10-03 Chang-Sik Choi , Jae Oh Woo , Jeffrey G. Andrews

In this paper, a comprehensive study of the the downlink performance in a heterogeneous cellular network (or hetnet) is conducted. A general hetnet model is considered consisting of an arbitrary number of open-access and closed-access tier…

Information Theory · Computer Science 2014-04-01 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian , Liu , Timothy X Brown

This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the introduction of local interactions: each firing neuron triggers…

Probability · Mathematics 2021-08-17 Maximiliano Altamirano , Roberto Cortez , Matthieu Jonckheere , Lasse Leskelä

Master thesis at TU Berlin with Wolfgang K\"{o}nig, April 2016. We investigate a wireless network where the users are located according to a Poisson point process in a bounded subset of R^d, in the high-density limit. Assuming that the…

Probability · Mathematics 2016-06-22 András József Tóbiás

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes…

Probability · Mathematics 2021-11-23 Sarat Babu Moka , Yoni Nazarathy , Werner Scheinhardt

Poisson Point Process (PPP) has been widely adopted as an efficient model for the spatial distribution of base stations (BSs) in cellular networks. However, real BSs deployment are rarely completely random, due to environmental impact on…

Networking and Internet Architecture · Computer Science 2014-08-04 Yifan Zhou , Zhifeng Zhao , Qianlan Ying , Rongpeng Li , Xuan Zhou , Honggang Zhang

We consider the load-balancing design for forwarding incoming flows to access points (APs) in high-density wireless networks with both channel fading and flow-level dynamics, where each incoming flow has a certain amount of service demand…

Networking and Internet Architecture · Computer Science 2018-05-02 Bin Li , Xiangqi Kong , Lei Wang

In a Poisson Point Process (PPP) network model, in which the locations of Base Stations (BSs) are randomly distributed according to a Spatial Poisson Process, has been recently used as a tractable stochastic model to analyse the performance…

Information Theory · Computer Science 2016-06-21 Sinh Cong Lam , Kumbesan Sandrasegaran

This paper introduces Bayesian Flow Networks (BFNs), a new class of generative model in which the parameters of a set of independent distributions are modified with Bayesian inference in the light of noisy data samples, then passed as input…

Machine Learning · Computer Science 2025-03-12 Alex Graves , Rupesh Kumar Srivastava , Timothy Atkinson , Faustino Gomez

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

With the ever-growing communication demands and the unceasing miniaturization of mobile devices, the Internet of Things is expanding the amount of mobile terminals to an enormous level. To deal with such numbers of communication data,…

Signal Processing · Electrical Eng. & Systems 2022-04-08 He Zhou , Haibo Zhou , Jianguo Li , Kai Yang , Jianping An , Xuemin , Shen

In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading…

Information Theory · Computer Science 2007-11-14 Martin Haenggi

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the…

Information Theory · Computer Science 2007-11-05 Brooke Shrader , Anthony Ephremides

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

It appeared recently that the underlying degree distribution of networks may play a crucial role concerning their robustness. Empiric and analytic results have been obtained, based on asymptotic and mean-field approximations. Previous work…

Statistical Mechanics · Physics 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

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

The existence of unknown interference is a prevalent problem in wireless communication networks. Especially in multi-user multiple-input multiple-output (MIMO) networks, where a large number of user equipments are served on the same…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Mahmoud Zaher , Emil Björnson , Marina Petrova

In this paper, how to optimally deploy base station density in a small cell network with energy-efficient power control was investigated. Base stations (BSs) and users form two independent Poisson point processes (PPPs) in the network.…

Information Theory · Computer Science 2015-02-20 Ching-Ting Peng , Li-Chun Wang , Chun-Hung Liu

In this paper, energy efficiency of relay-assisted millimeter wave (mmWave) cellular networks with Poisson Point Process (PPP) distributed base stations (BSs) and relay stations (RSs) is analyzed using tools from stochastic geometry. The…

Information Theory · Computer Science 2015-10-21 Esma Turgut , M. Cenk Gursoy
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