Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading

This research studies the problem of a joint capacity/capacity reliability analysis of the multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized multipath fading. The study presents the derived results of the closed-form analytical statistical description of the...

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Main Authors: Aleksey S. Gvozdarev, Aleksandra M. Alishchuk, Marina A. Kazakova
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/4/2289
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author Aleksey S. Gvozdarev
Aleksandra M. Alishchuk
Marina A. Kazakova
author_facet Aleksey S. Gvozdarev
Aleksandra M. Alishchuk
Marina A. Kazakova
author_sort Aleksey S. Gvozdarev
collection DOAJ
description This research studies the problem of a joint capacity/capacity reliability analysis of the multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized multipath fading. The study presents the derived results of the closed-form analytical statistical description of the ergodic sum-rate capacity, the capacity reliability and the capacity’s higher-order statistics in the case of complex Nakagami-m distributed channel transmission coefficients. A numerical verification of the derived expressions was performed, and it demonstrated excellent correspondence with the simulation. The system performance was evaluated with the help of a numerical analysis of the joint first- and second-order statistics description, depending on the channel and system parameters. The results demonstrated several peculiarities, e.g., the existence of a specific extremum of the capacity reliability for small-sized MIMO systems, its opposite behavior (in terms of the varying number of antenna elements) for heavy and light fading, and the existing asymptotic regions of the system and the channel parameters.
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spelling doaj.art-20a8badb507f45b2b0b36e8fd61fbfa72023-11-16T23:12:49ZengMDPI AGSensors1424-82202023-02-01234228910.3390/s23042289Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath FadingAleksey S. Gvozdarev0Aleksandra M. Alishchuk1Marina A. Kazakova2Department of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, RussiaDepartment of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, RussiaDepartment of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, RussiaThis research studies the problem of a joint capacity/capacity reliability analysis of the multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized multipath fading. The study presents the derived results of the closed-form analytical statistical description of the ergodic sum-rate capacity, the capacity reliability and the capacity’s higher-order statistics in the case of complex Nakagami-m distributed channel transmission coefficients. A numerical verification of the derived expressions was performed, and it demonstrated excellent correspondence with the simulation. The system performance was evaluated with the help of a numerical analysis of the joint first- and second-order statistics description, depending on the channel and system parameters. The results demonstrated several peculiarities, e.g., the existence of a specific extremum of the capacity reliability for small-sized MIMO systems, its opposite behavior (in terms of the varying number of antenna elements) for heavy and light fading, and the existing asymptotic regions of the system and the channel parameters.https://www.mdpi.com/1424-8220/23/4/2289fadingchannelMIMONakagami-mcapacityhigher-order statistics
spellingShingle Aleksey S. Gvozdarev
Aleksandra M. Alishchuk
Marina A. Kazakova
Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
Sensors
fading
channel
MIMO
Nakagami-m
capacity
higher-order statistics
title Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
title_full Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
title_fullStr Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
title_full_unstemmed Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
title_short Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading
title_sort closed form capacity reliability analysis of multiuser mimo system in the presence of generalized multipath fading
topic fading
channel
MIMO
Nakagami-m
capacity
higher-order statistics
url https://www.mdpi.com/1424-8220/23/4/2289
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AT aleksandramalishchuk closedformcapacityreliabilityanalysisofmultiusermimosysteminthepresenceofgeneralizedmultipathfading
AT marinaakazakova closedformcapacityreliabilityanalysisofmultiusermimosysteminthepresenceofgeneralizedmultipathfading