Exact SNR and SIR analysis in Poisson wireless networks

The probability density function and cumulative distribution function of the received signal‐to‐noise ratio (SNR) and the received signal‐to‐interference ratio (SIR), for interference‐limited systems is derived, at the nth nearest neighbour node in a Poisson point process wireless random network. Th...

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Main Authors: G.P. Efthymoglou, P.S. Bithas, A.G. Kanatas
Format: Article
Language:English
Published: Wiley 2017-03-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/el.2016.2378
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author G.P. Efthymoglou
P.S. Bithas
A.G. Kanatas
author_facet G.P. Efthymoglou
P.S. Bithas
A.G. Kanatas
author_sort G.P. Efthymoglou
collection DOAJ
description The probability density function and cumulative distribution function of the received signal‐to‐noise ratio (SNR) and the received signal‐to‐interference ratio (SIR), for interference‐limited systems is derived, at the nth nearest neighbour node in a Poisson point process wireless random network. The analytical expressions are given in terms of the Meijer G‐function and reveal the impact of node spatial density, transmit power, interference power, and path‐loss exponent on the connectivity probability of a broadcast wireless transmission. The analytical results are validated with computer simulation.
format Article
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institution Kabale University
issn 0013-5194
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language English
publishDate 2017-03-01
publisher Wiley
record_format Article
series Electronics Letters
spelling doaj-art-08ec1106bf0f4918a7b027f5e4764c8c2025-02-05T12:30:43ZengWileyElectronics Letters0013-51941350-911X2017-03-0153535635810.1049/el.2016.2378Exact SNR and SIR analysis in Poisson wireless networksG.P. Efthymoglou0P.S. Bithas1A.G. Kanatas2Dept. of Digital SystemsUniversity of PiraeusPiraeusGreeceDept. of Digital SystemsUniversity of PiraeusPiraeusGreeceDept. of Digital SystemsUniversity of PiraeusPiraeusGreeceThe probability density function and cumulative distribution function of the received signal‐to‐noise ratio (SNR) and the received signal‐to‐interference ratio (SIR), for interference‐limited systems is derived, at the nth nearest neighbour node in a Poisson point process wireless random network. The analytical expressions are given in terms of the Meijer G‐function and reveal the impact of node spatial density, transmit power, interference power, and path‐loss exponent on the connectivity probability of a broadcast wireless transmission. The analytical results are validated with computer simulation.https://doi.org/10.1049/el.2016.2378SNRSIR analysisPoisson wireless networksprobability density functioncumulative distribution functionsignal‐to‐noise ratio
spellingShingle G.P. Efthymoglou
P.S. Bithas
A.G. Kanatas
Exact SNR and SIR analysis in Poisson wireless networks
Electronics Letters
SNR
SIR analysis
Poisson wireless networks
probability density function
cumulative distribution function
signal‐to‐noise ratio
title Exact SNR and SIR analysis in Poisson wireless networks
title_full Exact SNR and SIR analysis in Poisson wireless networks
title_fullStr Exact SNR and SIR analysis in Poisson wireless networks
title_full_unstemmed Exact SNR and SIR analysis in Poisson wireless networks
title_short Exact SNR and SIR analysis in Poisson wireless networks
title_sort exact snr and sir analysis in poisson wireless networks
topic SNR
SIR analysis
Poisson wireless networks
probability density function
cumulative distribution function
signal‐to‐noise ratio
url https://doi.org/10.1049/el.2016.2378
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