Fractional-Order System Identification and Equalization in Massive MIMO Systems

In this paper, a new methodology for the identification and equalization of massive Multiple-Input Multiple-Output (MIMO) channels in fifth generation (5G) wireless communications is proposed. Channel equalization is performed in state-space, having estimated the channel using the fractional-order M...

Full description

Bibliographic Details
Main Authors: Mzabalazo Lupupa, Sillas Hadjiloucas
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9089029/
_version_ 1818608522352394240
author Mzabalazo Lupupa
Sillas Hadjiloucas
author_facet Mzabalazo Lupupa
Sillas Hadjiloucas
author_sort Mzabalazo Lupupa
collection DOAJ
description In this paper, a new methodology for the identification and equalization of massive Multiple-Input Multiple-Output (MIMO) channels in fifth generation (5G) wireless communications is proposed. Channel equalization is performed in state-space, having estimated the channel using the fractional-order Multivariable Output Error State Space (MOESP) system identification algorithm. The proposed fractional-order algorithm is an improvement over its integer-order counterpart that is currently used for state-space channel identification/estimation and state-space channel equalization. When dealing with fractional-order calculus our work adopts the Riemann-Liouville definition. Our numerical results of channel identification having used a chirp signal to excite our massive MIMO system show a lower mean square error (MSE) in channel estimation using the proposed fractional-order MOESP identification algorithm when compared to integer-order MOESP identification algorithm of increased order. Furthermore, following equalization, transmission using Binary phase shift keying (BPSK), Quadrature phase shift keying (QPSK) and 256-Quadrature amplitude modulation (256-QAM) signals show that the symbol error rate (SER) as a function of signal to noise ratio (SNR) performance of the fractional-order equalization algorithm compares to that of the integer-order equalization algorithm. The proposed channel identification algorithm also provides a more parsimonious solution for modelling multipath fading, thus enabling the design of fractional-order equalizers. In addition, they may be used in other applications where high order filtering and more complex control algorithms which are difficult to tune would be needed. Finally, the work has other technological applications where there is a requirement for modelling and control of propagation processes in dispersive media.
first_indexed 2024-12-16T14:43:59Z
format Article
id doaj.art-f34edac76ab74ca381ecf78d225a7d69
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-12-16T14:43:59Z
publishDate 2020-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-f34edac76ab74ca381ecf78d225a7d692022-12-21T22:27:49ZengIEEEIEEE Access2169-35362020-01-018864818649410.1109/ACCESS.2020.29930999089029Fractional-Order System Identification and Equalization in Massive MIMO SystemsMzabalazo Lupupa0https://orcid.org/0000-0003-0120-0859Sillas Hadjiloucas1https://orcid.org/0000-0003-2380-6114Department of Biomedical Engineering, School of Biological Sciences, University of Reading, Reading, U.K.Department of Electrical and Electronic Engineering, Faculty of Science and Engineering, University of Eswatini, Kwaluseni, Eswatini (Swaziland)In this paper, a new methodology for the identification and equalization of massive Multiple-Input Multiple-Output (MIMO) channels in fifth generation (5G) wireless communications is proposed. Channel equalization is performed in state-space, having estimated the channel using the fractional-order Multivariable Output Error State Space (MOESP) system identification algorithm. The proposed fractional-order algorithm is an improvement over its integer-order counterpart that is currently used for state-space channel identification/estimation and state-space channel equalization. When dealing with fractional-order calculus our work adopts the Riemann-Liouville definition. Our numerical results of channel identification having used a chirp signal to excite our massive MIMO system show a lower mean square error (MSE) in channel estimation using the proposed fractional-order MOESP identification algorithm when compared to integer-order MOESP identification algorithm of increased order. Furthermore, following equalization, transmission using Binary phase shift keying (BPSK), Quadrature phase shift keying (QPSK) and 256-Quadrature amplitude modulation (256-QAM) signals show that the symbol error rate (SER) as a function of signal to noise ratio (SNR) performance of the fractional-order equalization algorithm compares to that of the integer-order equalization algorithm. The proposed channel identification algorithm also provides a more parsimonious solution for modelling multipath fading, thus enabling the design of fractional-order equalizers. In addition, they may be used in other applications where high order filtering and more complex control algorithms which are difficult to tune would be needed. Finally, the work has other technological applications where there is a requirement for modelling and control of propagation processes in dispersive media.https://ieeexplore.ieee.org/document/9089029/Channel equalizationchannel estimationfractional-order identificationmassive MIMOMOESP algorithmsystem identification
spellingShingle Mzabalazo Lupupa
Sillas Hadjiloucas
Fractional-Order System Identification and Equalization in Massive MIMO Systems
IEEE Access
Channel equalization
channel estimation
fractional-order identification
massive MIMO
MOESP algorithm
system identification
title Fractional-Order System Identification and Equalization in Massive MIMO Systems
title_full Fractional-Order System Identification and Equalization in Massive MIMO Systems
title_fullStr Fractional-Order System Identification and Equalization in Massive MIMO Systems
title_full_unstemmed Fractional-Order System Identification and Equalization in Massive MIMO Systems
title_short Fractional-Order System Identification and Equalization in Massive MIMO Systems
title_sort fractional order system identification and equalization in massive mimo systems
topic Channel equalization
channel estimation
fractional-order identification
massive MIMO
MOESP algorithm
system identification
url https://ieeexplore.ieee.org/document/9089029/
work_keys_str_mv AT mzabalazolupupa fractionalordersystemidentificationandequalizationinmassivemimosystems
AT sillashadjiloucas fractionalordersystemidentificationandequalizationinmassivemimosystems