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Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator

Recorded electroencephalography (EEG) signals can be represented as square matrices, which have been extensively analyzed using mathematical methods to extract invaluable information concerning brain functions in terms of observed electrical potentials; such information is critical for diagnosing br...

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Main Authors: Ahmad Fuad, Amirul Aizad, Tahir Ahmad, Tahir Ahmad
Format: Article
Published: Hindawi Limited 2021
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/95273/
http://dx.doi.org/10.1155/2021/6651445
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spelling my.utm.952732022-04-29T22:26:05Z http://eprints.utm.my/id/eprint/95273/ Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator Ahmad Fuad, Amirul Aizad Tahir Ahmad, Tahir Ahmad QA Mathematics Recorded electroencephalography (EEG) signals can be represented as square matrices, which have been extensively analyzed using mathematical methods to extract invaluable information concerning brain functions in terms of observed electrical potentials; such information is critical for diagnosing brain disorders. Several studies have revealed that certain such square matrices - in particular, those related to so-called "elementary EEG signals"- exhibit properties similar to those of prime numbers in which every square EEG matrix can be regarded as a composite of these signals. A new approach to ordering square matrices is pivotal to extending the idea of square matrices as composite numbers. In this paper, several ordering concepts are investigated and a new technique for ordering matrices is introduced. Finally, some properties of this matrix order are presented, and the potential applications of this technique to analyzing EEG signals are discussed. Hindawi Limited 2021 Article PeerReviewed Ahmad Fuad, Amirul Aizad and Tahir Ahmad, Tahir Ahmad (2021) Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator. Journal of Mathematics, 2021 . p. 6651445. ISSN 2314-4629 http://dx.doi.org/10.1155/2021/6651445
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Ahmad Fuad, Amirul Aizad
Tahir Ahmad, Tahir Ahmad
Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
description Recorded electroencephalography (EEG) signals can be represented as square matrices, which have been extensively analyzed using mathematical methods to extract invaluable information concerning brain functions in terms of observed electrical potentials; such information is critical for diagnosing brain disorders. Several studies have revealed that certain such square matrices - in particular, those related to so-called "elementary EEG signals"- exhibit properties similar to those of prime numbers in which every square EEG matrix can be regarded as a composite of these signals. A new approach to ordering square matrices is pivotal to extending the idea of square matrices as composite numbers. In this paper, several ordering concepts are investigated and a new technique for ordering matrices is introduced. Finally, some properties of this matrix order are presented, and the potential applications of this technique to analyzing EEG signals are discussed.
format Article
author Ahmad Fuad, Amirul Aizad
Tahir Ahmad, Tahir Ahmad
author_facet Ahmad Fuad, Amirul Aizad
Tahir Ahmad, Tahir Ahmad
author_sort Ahmad Fuad, Amirul Aizad
title Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
title_short Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
title_full Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
title_fullStr Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
title_full_unstemmed Ordering of transformed recorded Electroencephalography (EEG) signals by a novel precede operator
title_sort ordering of transformed recorded electroencephalography (eeg) signals by a novel precede operator
publisher Hindawi Limited
publishDate 2021
url http://eprints.utm.my/id/eprint/95273/
http://dx.doi.org/10.1155/2021/6651445
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score 13.244404

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