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A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

This paper presents a tutorial on stochastic geometry (SG) based analysis for cellular networks. This tutorial is distinguished by its depth with respect to wireless communication details and its focus on cellular networks. The paper starts…

Information Theory · Computer Science 2016-11-15 Hesham ElSawy , Ahmed Sultan-Salem , Mohamed-Slim Alouini , Moe Z. Win

This work studies the signal-to-interference-plus-noise-ratio (SINR) meta distribution for the uplink transmission of a Poisson network with Rayleigh fading by using the dominant interferer-based approximation. The proposed approach relies…

Information Theory · Computer Science 2023-09-12 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

For a \emph{ powered Poisson process}, we define \emph{Signal-to-Interference-plus-Noise Ratio}(SINR) and thesinr network as a Telecommunication Network. We define the Empirical Measures (\emph{empirical powered measure}, \emph{empirical…

Information Theory · Computer Science 2020-05-19 Enoch Sakyi-Yeboah , Charles Kwofie , Kwabena Doku-Amponsah

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

In this article we develop a three dimensional (3D) analytical model of wireless networks. We establish an analytical expression of the SINR (Signal to Interference plus Noise Ratio) of user equipments (UE), by using a 3D fluid model…

Information Theory · Computer Science 2016-04-18 Jean-Marc Kelif , Marceau Coupechoux

It has recently been observed that the SIR distributions of a variety of cellular network models and transmission techniques look very similar in shape. As a result, they are well approximated by a simple horizontal shift (or gain) of the…

Information Theory · Computer Science 2015-11-30 Radha K. Ganti , Martin Haenggi

A technique is presented to evaluate the performance of a wireless link with a multi-antenna linear Minimum-Mean-Square Error (MMSE) receiver in the presence of interferers distributed according to non-homogeneous Poisson processes or…

Information Theory · Computer Science 2014-04-08 Junjie Zhu , Siddhartan Govindasamy

This paper studies the carrier-to-interference ratio (CIR) and carrier-to-interference-plus-noise ratio (CINR) performance at the mobile station (MS) within a multi-tier network composed of M tiers of wireless networks, with each tier…

Information Theory · Computer Science 2016-11-18 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian , Liu , Timothy X Brown , Kenneth R. Baker

This paper introduces a general theoretical framework to analyze noise limited networks. More precisely, we consider two homogenous Poisson point processes of base stations and users. General model of radio signal propagation and effect of…

Probability · Mathematics 2010-12-13 Laurent Decreusefond , Philippe Martins , Thanh-Tung Vu

This paper is devoted to the performance study of the Linear Minimum Mean Squared Error estimator for multidimensional signals in the large dimension regime. Such an estimator is frequently encountered in wireless communications and in…

Information Theory · Computer Science 2008-10-13 Abla Kammoun , Malika Kharouf , Walid Hachem , Jamal Najim

The calculation of the SIR distribution at the typical receiver (or, equivalently, the success probability of transmissions over the typical link) in Poisson bipolar and cellular networks with Rayleigh fading is relatively straightforward,…

Information Theory · Computer Science 2015-06-05 Martin Haenggi

Keeler, Ross and Xia (2016) recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a wireless network under a general statistical propagation…

Networking and Internet Architecture · Computer Science 2016-11-09 Paul Keeler , Nathan Ross , Aihua Xia , Bartlomiej Blaszczyszyn

We present a mathematical model for communication subject to both network interference and noise. We introduce a framework where the interferers are scattered according to a spatial Poisson process, and are operating asynchronously in a…

Information Theory · Computer Science 2016-11-17 Pedro C. Pinto , Moe Z. Win

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

This paper analyzes the connection between the protocol and physical interference models in the setting of Poisson wireless networks. A transmission is successful under the protocol model if there are no interferers within a parameterized…

Information Theory · Computer Science 2016-09-20 Jeffrey Wildman , Steven Weber

Results are presented for optimizing device-to-device communications in cellular networks, while maintaining spectral efficiency of the base-station-to-device downlink channel. We build upon established and tested stochastic geometry models…

Networking and Internet Architecture · Computer Science 2017-05-04 Bartłomiej Błaszczyszyn , Paul Keeler , Paul Mühlethaler

We consider protocols that serve communication requests arising over time in a wireless network that is subject to interference. Unlike previous approaches, we take the geometry of the network and power control into account, both allowing…

Networking and Internet Architecture · Computer Science 2012-03-07 Thomas Kesselheim

In this paper we study the topological properties of wireless communication maps and their usability in algorithmic design. We consider the SINR model, which compares the received power of a signal at a receiver against the sum of strengths…

Data Structures and Algorithms · Computer Science 2011-03-25 Erez Kantor , Zvi Lotker , Merav Parter , David Peleg

In this paper, we consider the downlink signal-to-interference-plus-noise ratio (SINR) analysis in a heterogeneous cellular network with K tiers. Each tier is characterized by a base-station (BS) arrangement according to a homogeneous…

Information Theory · Computer Science 2016-11-18 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian , Liu , Timothy X. Brown