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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

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

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

Signal-to-interference plus noise ratio (SINR) percolation is an infinite-range dependent variant of continuum percolation modeling connections in a telecommunication network. Unlike in earlier works, in the present paper the transmitted…

Probability · Mathematics 2020-10-06 Benedikt Jahnel , András Tóbiás

Wireless networks are fundamentally limited by the intensity of the received signals and by their inherent interference. It is shown here that in finite ad hoc networks where node placement is modelled according to a Poisson point process…

Networking and Internet Architecture · Computer Science 2015-04-09 Orestis Georgiou , Shanshan Wang , Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon

We analyze a class of Signal-to-Interference-and-Noise-Ratio (SINR) random graphs. These random graphs arise in the modeling packet transmissions in wireless networks. In contrast to previous studies on the SINR graphs, we consider both a…

Probability · Mathematics 2013-02-05 Francois Baccelli , Bartlomiej Blaszczyszyn , Mir Omid Haji Mirsadeghi

The rules governing the availability and quality of connections in a wireless network are described by physical models such as the signal-to-interference & noise ratio (SINR) model. For a collection of simultaneously transmitting stations…

Networking and Internet Architecture · Computer Science 2008-12-10 Chen Avin , Yuval Emek , Erez Kantor , Zvi Lotker , David Peleg , Liam Roditty

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

A technique to compute the Cumulative Distribution Function (CDF) of the Signal-to-Interference-plus-Noise-Ratio (SINR) for a wireless link with a multi-antenna, Linear, Minimum-Mean-Square-Error (MMSE) receiver in the presence of…

Information Theory · Computer Science 2013-01-30 Junjie Zhu , Siddhartan Govindasamy

In this paper, we address the problem of optimal relay placement in a cellular network assuming network densification, with the aim of maximizing cell capacity. In our model, a fraction of radio resources is dedicated to the base-station…

Networking and Internet Architecture · Computer Science 2013-07-17 Jean-Marc Kelif , Marceau Coupechoux , Marc Sigelle

The analysis of signal-to-interference ratios (SIRs) in wireless networks is instrumental to derive important performance metrics, including reliability, throughput, and delay. While a host of results on SIR distributions are now available,…

Information Theory · Computer Science 2020-03-10 Martin Haenggi

This paper proposes a novel approach for computing the meta distribution of the signal-to-interference-plus-noise ratio (SINR) for the downlink transmission in a wireless network with Rayleigh fading. The novel approach relies on an…

Information Theory · Computer Science 2023-02-08 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

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

This paper provides a statistical characterization of the individual achievable rates in bits/s/Hz and the spatial throughput of bipolar Poisson wireless networks in bits/s/Hz/m$^2$. We assume that all transmitters have a cognitive ability…

Information Theory · Computer Science 2014-04-29 Pedro H. J. Nardelli , Carlos H. Morais de Lima , Hirley Alves , Paulo Cardieri , Matti Latva-aho

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

Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are distributed according to a Poisson distribution, is currently used as a accurate model to analyse the performance of a cellular network. Most current work on…

Information Theory · Computer Science 2016-07-13 Sinh Cong Lam , Kumbesan Sandrasegaran

This paper presents a tractable model for analyzing non-coherent joint transmission base station (BS) cooperation, taking into account the irregular BS deployment typically encountered in practice. Besides cellular-network specific aspects…

Information Theory · Computer Science 2014-09-22 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

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

Consider orthogonal planes in the 3-D space representing floors and walls in a large building. These planes divide the space into rooms where a wireless infrastructure is deployed. This paper is focused on the analysis of the correlated…

Information Theory · Computer Science 2016-03-24 Junse Lee , Xinchen Zhang , Francois Baccelli

Interference management techniques are critical to the performance of heterogeneous cellular networks, which will have dense and overlapping coverage areas, and experience high levels of interference. Fractional frequency reuse (FFR) is an…

Information Theory · Computer Science 2011-12-06 Thomas D. Novlan , Radha Krishna Ganti , Arunabha Ghosh , Jeffrey G. Andrews