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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MDPI AG
2023-02-01
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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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language | English |
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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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