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We give numerically tractable, explicit integral expressions for the distribution of the signal-to-interference-and-noise-ratio (SINR) experienced by a typical user in the down-link channel from the k-th strongest base stations of a…

Networking and Internet Architecture · Computer Science 2014-01-17 Holger Paul Keeler , Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

Probability · Mathematics 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

We study the performance of wireless links for a class of Poisson networks, in which packets arrive at the transmitters following Bernoulli processes. By combining stochastic geometry with queueing theory, two fundamental measures are…

Information Theory · Computer Science 2020-07-22 Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

The SINR (signal to interference plus noise ratio) is a key factor for wireless networks analysis. Indeed, the SINR distribution allows the derivation of performance and quality of service (QoS) evaluation. Moreover, it also enables the…

Networking and Internet Architecture · Computer Science 2014-11-20 Jean-Marc Kelif , Stephane Senecal , Marceau Coupechoux , Constant Bridon

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

In this paper, we analyze the signal-to-interference-plus-noise ratio (SINR) performance at a mobile station (MS) in a random cellular network. The cellular network is formed by base-stations (BSs) placed in a one, two or three dimensional…

Information Theory · Computer Science 2015-03-13 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian Liu , Timothy X Brown , Kenneth R. Baker

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

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

The signal-to-noise-plus-interference ratio (SINR) outage probability is one of the key performance parameters of a wireless cellular network, and its analytical as well as numerical evaluation has occupied many researchers. Recently, the…

Information Theory · Computer Science 2016-07-26 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

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

This tutorial is intended as an accessible but rigorous first reference for someone interested in learning how to model and analyze cellular network performance using stochastic geometry. In particular, we focus on computing the…

Information Theory · Computer Science 2016-10-06 Jeffrey G. Andrews , Abhishek K. Gupta , Harpreet S. Dhillon

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

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

Information Theory · Computer Science 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

Signal-to-noise-plus-interference ratio (SINR) outage probability is among one of the key performance metrics of a wireless cellular network. In this paper, we propose a semi-analytical method based on saddle point approximation (SPA)…

Information Theory · Computer Science 2017-05-03 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

A fine-grained analysis of network performance 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 stations…

Information Theory · Computer Science 2022-01-20 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

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

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

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

We propose a model for heterogeneous cellular networks assuming a space-time Poisson process of call arrivals, independently marked by data volumes, and served by different types of base stations (having different transmission powers)…

Networking and Internet Architecture · Computer Science 2015-10-15 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray
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