<i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications

This research introduces and studies the performance of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-Fluctuating Nakagami-<i>m&...

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Main Author: Aleksey S. Gvozdarev
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/11/3430
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author Aleksey S. Gvozdarev
author_facet Aleksey S. Gvozdarev
author_sort Aleksey S. Gvozdarev
collection DOAJ
description This research introduces and studies the performance of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-Fluctuating Nakagami-<i>m</i> model, which addresses the limitations of conventional models for wireless communications. For the assumed channel model, the research presents a complete first-order statistical description (including the probability density function (PDF), cumulative distribution function (CDF), moment generating function (MGF), and raw moments) and provides closed-form results for system performance (assessed in terms of outage probability, average bit error rate (ABER), and channel capacity). All of the expressions have the same numerical complexity as the base-line Fluctuating Nakagami-<i>m</i> model, and are accompanied by their high signal-to-noise ratio (SNR) asymptotics. The derived results helped to identify the amount of fading (AoF) and diversity/coding gain of the proposed channel model. In-depth analysis of the system performance was carried out for all possible fading channel parameter values. Numerical analysis of the proposed solutions demonstrated their high computational efficiency. The comparison with experimental results demonstrated that the model offers enhanced flexibility and better characterization of fading regimes. Numerical analysis and simulation results show a high degree of correspondence with the analytical work and help study the dependence of channel nonlinearity effects on overall system performance.
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spelling doaj-art-eefcdcf7735b453a98db04155e93583e2025-08-20T02:32:57ZengMDPI AGSensors1424-82202025-05-012511343010.3390/s25113430<i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless CommunicationsAleksey S. Gvozdarev0Department of Intelligent Radiophysical Information Systems (IRIS), Physics Faculty, P.G. Demidov Yaroslavl State University, Yaroslavl 150003, RussiaThis research introduces and studies the performance of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-Fluctuating Nakagami-<i>m</i> model, which addresses the limitations of conventional models for wireless communications. For the assumed channel model, the research presents a complete first-order statistical description (including the probability density function (PDF), cumulative distribution function (CDF), moment generating function (MGF), and raw moments) and provides closed-form results for system performance (assessed in terms of outage probability, average bit error rate (ABER), and channel capacity). All of the expressions have the same numerical complexity as the base-line Fluctuating Nakagami-<i>m</i> model, and are accompanied by their high signal-to-noise ratio (SNR) asymptotics. The derived results helped to identify the amount of fading (AoF) and diversity/coding gain of the proposed channel model. In-depth analysis of the system performance was carried out for all possible fading channel parameter values. Numerical analysis of the proposed solutions demonstrated their high computational efficiency. The comparison with experimental results demonstrated that the model offers enhanced flexibility and better characterization of fading regimes. Numerical analysis and simulation results show a high degree of correspondence with the analytical work and help study the dependence of channel nonlinearity effects on overall system performance.https://www.mdpi.com/1424-8220/25/11/3430fading channelstatistical descriptionFluctuating Nakagamierror rateoutagecapacity
spellingShingle Aleksey S. Gvozdarev
<i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
Sensors
fading channel
statistical description
Fluctuating Nakagami
error rate
outage
capacity
title <i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
title_full <i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
title_fullStr <i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
title_full_unstemmed <i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
title_short <i>α</i>-Fluctuating Nakagami-<i>m</i> Fading Model for Wireless Communications
title_sort i α i fluctuating nakagami i m i fading model for wireless communications
topic fading channel
statistical description
Fluctuating Nakagami
error rate
outage
capacity
url https://www.mdpi.com/1424-8220/25/11/3430
work_keys_str_mv AT alekseysgvozdarev iaifluctuatingnakagamiimifadingmodelforwirelesscommunications