Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise

Abstract This study presents an innovative fractional order Rayleigh fading model that can be used for channel capacity estimation in the presence of additive white generalized Gaussian noise. The proposed model assumes that the real and imaginary parts of channel gains are generalized Gaussian rand...

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Main Authors: Mehran Kakavand, Mohammadreza Hassannejad Bibalan, Mina Baghani
Format: Article
Language:English
Published: Wiley 2024-12-01
Series:IET Communications
Subjects:
Online Access:https://doi.org/10.1049/cmu2.12834
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author Mehran Kakavand
Mohammadreza Hassannejad Bibalan
Mina Baghani
author_facet Mehran Kakavand
Mohammadreza Hassannejad Bibalan
Mina Baghani
author_sort Mehran Kakavand
collection DOAJ
description Abstract This study presents an innovative fractional order Rayleigh fading model that can be used for channel capacity estimation in the presence of additive white generalized Gaussian noise. The proposed model assumes that the real and imaginary parts of channel gains are generalized Gaussian random variables, which makes it possible to consider the traditional Rayleigh fading model as a special case of fractional order Rayleigh fading. Compared to the Rayleigh model, the fractional order Rayleigh fading model offers a more precise representation of new real‐world communication, such as integrating terrestrial and underwater networks in sixth‐generation communications channels. The probability density function of the channel gain with additive white generalized Gaussian noise is analyzed here. Furthermore, the ergodic and outage capacities of the channel are determined, taking into account the assumption that the channel state information is only available at the receiver. The ergodic capacity is calculated using Meijer's G‐functions, resulting in a closed‐form expression. Numerical simulations demonstrate the superiority of the fractional order Rayleigh fading model over the Rayleigh channel. Moreover, the impact of ergodic and outage capacities under diverse channel characteristics is assessed.
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institution OA Journals
issn 1751-8628
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language English
publishDate 2024-12-01
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series IET Communications
spelling doaj-art-5091f7d2c5624c65a42ec3d2100894c82025-08-20T02:17:57ZengWileyIET Communications1751-86281751-86362024-12-0118191391140210.1049/cmu2.12834Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noiseMehran Kakavand0Mohammadreza Hassannejad Bibalan1Mina Baghani2Department of Electrical Engineering Imam Khomeini International University Qazvin IranDepartment of Electrical Engineering Imam Khomeini International University Qazvin IranDepartment of Electrical Engineering Imam Khomeini International University Qazvin IranAbstract This study presents an innovative fractional order Rayleigh fading model that can be used for channel capacity estimation in the presence of additive white generalized Gaussian noise. The proposed model assumes that the real and imaginary parts of channel gains are generalized Gaussian random variables, which makes it possible to consider the traditional Rayleigh fading model as a special case of fractional order Rayleigh fading. Compared to the Rayleigh model, the fractional order Rayleigh fading model offers a more precise representation of new real‐world communication, such as integrating terrestrial and underwater networks in sixth‐generation communications channels. The probability density function of the channel gain with additive white generalized Gaussian noise is analyzed here. Furthermore, the ergodic and outage capacities of the channel are determined, taking into account the assumption that the channel state information is only available at the receiver. The ergodic capacity is calculated using Meijer's G‐functions, resulting in a closed‐form expression. Numerical simulations demonstrate the superiority of the fractional order Rayleigh fading model over the Rayleigh channel. Moreover, the impact of ergodic and outage capacities under diverse channel characteristics is assessed.https://doi.org/10.1049/cmu2.12834AWGNchannel capacityfading channelsRayleigh channels
spellingShingle Mehran Kakavand
Mohammadreza Hassannejad Bibalan
Mina Baghani
Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
IET Communications
AWGN
channel capacity
fading channels
Rayleigh channels
title Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
title_full Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
title_fullStr Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
title_full_unstemmed Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
title_short Capacity analysis over fractional order Rayleigh fading channel under additive white generalized Gaussian noise
title_sort capacity analysis over fractional order rayleigh fading channel under additive white generalized gaussian noise
topic AWGN
channel capacity
fading channels
Rayleigh channels
url https://doi.org/10.1049/cmu2.12834
work_keys_str_mv AT mehrankakavand capacityanalysisoverfractionalorderrayleighfadingchannelunderadditivewhitegeneralizedgaussiannoise
AT mohammadrezahassannejadbibalan capacityanalysisoverfractionalorderrayleighfadingchannelunderadditivewhitegeneralizedgaussiannoise
AT minabaghani capacityanalysisoverfractionalorderrayleighfadingchannelunderadditivewhitegeneralizedgaussiannoise