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Motivated by the need to hide the complexity of the physical layer from performance analysis in a layer 2 protocol, a class of abstract receivers, called Poisson receivers, was recently proposed in [1] as a probabilistic framework for…

Networking and Internet Architecture · Computer Science 2025-07-17 Tzu-Hsuan Liu , Che-Hao Yu , Yi-Jheng Lin , Cheng-Shang Chang , Duan-Shin Lee

This paper investigates the location-based relay selection problem, where the source node chooses its relay from a set of spatially deployed decode-and-forward relays. The advantages of location-based relay selection are the elimination of…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Saman Atapattu , Hazer Inaltekin , Jamie Evans

Wireless sensor networks consisting of great number of cheap and tiny sensor nodes which are used for military environment controlling, natural events recording, traffic monitoring, robot navigation, and etc. Such a networks encounter with…

Networking and Internet Architecture · Computer Science 2011-11-23 Marida Dossena

We consider soft random geometric graphs, constructed by distributing points (nodes) randomly according to a Poisson Point Process, and forming links between pairs of nodes with a probability that depends on their mutual distance, the…

Disordered Systems and Neural Networks · Physics 2018-10-03 Carl P. Dettmann , Orestis Georgiou

For a sensor network, a tractable spatially-dependent node deployment model is presented with the property that the density is inversely proportional to the sink distance. A stochastic model is formulated to examine message advancements…

Probability · Mathematics 2015-03-13 H. Paul Keeler

Line coverage is the task of servicing a given set of one-dimensional features in an environment. It is important for the inspection of linear infrastructure such as road networks, power lines, and oil and gas pipelines. This paper…

Robotics · Computer Science 2023-06-13 Saurav Agarwal , Srinivas Akella

Pushing data traffic from cellular to WiFi is an example of inter radio access technology (RAT) offloading. While this clearly alleviates congestion on the over-loaded cellular network, the ultimate potential of such offloading and its…

Information Theory · Computer Science 2016-11-18 Sarabjot Singh , Harpreet S. Dhillon , Jeffrey G. Andrews

We model a dense wireless local area network where the access points (APs) employ carrier sense multiple access (CSMA)-type medium access control protocol. In our model, the spatial locations of the set of active APs are modeled using the…

Information Theory · Computer Science 2022-09-05 Priyabrata Parida , Harpreet S. Dhillon

Arrival processes to service systems often display fluctuations that are larger than anticipated under the Poisson assumption, a phenomenon that is referred to as overdispersion. Motivated by this, we analyze a class of discrete stochastic…

This paper investigates the performance of millimeter wave (mmWave) communications in clustered device-to-device (D2D) networks. The locations of D2D transceivers are modeled as a Poisson Cluster Process (PCP). In each cluster, devices are…

Information Theory · Computer Science 2018-07-16 Wenqiang Yi , Yuanwei Liu , Arumugam Nallanathan

We propose a framework for the derivation and evaluation of distributed iterative algorithms for receiver cooperation in interference-limited wireless systems. Our approach views the processing within and collaboration between receivers as…

Information Theory · Computer Science 2012-04-18 Mihai-Alin Badiu , Carles Navarro Manchón , Vasile Bota , Bernard Henri Fleury

Consider the following random spatial network: in a large disk, construct a network using a stationary and isotropic Poisson line process of unit intensity. Connect pairs of points using the network, with initial / final segments of the…

Probability · Mathematics 2014-11-03 Wilfrid S. Kendall

The use of drone base stations to provide wireless connectivity for ground terminals is becoming a promising part of future technologies. The design of such aerial networks is however different compared to cellular 2D networks, as antennas…

Networking and Internet Architecture · Computer Science 2018-06-29 Mohammad Mahdi Azari , Yuri Murillo , Osama Amin , Fernando Rosas , Mohamed-Slim Alouini , Sofie Pollin

In trying to emulate the spatial position of wireless nodes for purpose of analysis, we rely on stochastic simulation. And, it is customary, for mobile systems, to consider a base-station radiation coverage by an ideal cell shape. For…

Information Theory · Computer Science 2013-06-06 Mouhamed Abdulla , Yousef R. Shayan

In many real-world networks, data on the edges evolve in continuous time, naturally motivating representations based on point processes. Heterogeneity in edge types further gives rise to multiplex network point processes. In this work, we…

Methodology · Statistics 2026-01-26 Joshua Corneck , Edward A. K. Cohen , Francesco Sanna Passino

We investigate a spatial random graph model whose vertices are given as a marked Poisson process on $\mathbb{R}^d$. Edges are inserted between any pair of points independently with probability depending on the spatial displacement of the…

Probability · Mathematics 2025-03-25 Matthew Dickson , Markus Heydenreich

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

An important application of wireless sensor networks is the deployment of mobile sensors to periodically monitor (cover) a set of points of interest (PoIs). The problem of Point Sweep Coverage is to deploy fewest sensors to periodically…

Data Structures and Algorithms · Computer Science 2017-06-28 Dieyan Liang , Hong Shen

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

Probability · Mathematics 2007-05-23 A. Rybko , S. Shlosman