Chebyshev polynomial-based Fourier transformation and it’s use in low pass filter of gravity data

https://m2.mtmt.hu/ hun 2026-05-31 15:43 JournalArticle 34889369 ADMIN_APPROVED true 0 false 2026-05-23T21:06:41.848+0000 2024-11-21T22:19:13.724+0000 2024-05-29T15:32:48.141+0000 true 10012027 Szabó Norbert Péter /api/author/10012027 Author Szabó Norbert Péter (Mélyfúrási geofizika) true 10012027 2025-02-11T10:00:10.798+0000 2025-02-11T10:00:10.798+0000 2024-11-21T22:19:13.931+0000 true 10065569 Pécsi Éva /api/admin/10065569 Admin Pécsi Éva (MTMT Közp 2,3, admin) true true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Al Marashly, Omar Chebyshev polynomial-based Fourier transformation and it’s use in low pass filter of gravity data true true /api/journal/10029081 REVIEWED ACTA GEODAETICA ET GEOPHYSICA 2213-5812 2213-5820 true false 10029081 false 10029081 true 2213-5812 2213-5820 Journal FOREIGN 59 2 159 181 159 23 2024 In this paper, we introduce the novel Chebyshev Polynomials Least-Squares Fourier Transformation (C-LSQ-FT) and its robust variant with the Iteratively Reweighted Least-Squares technique (C-IRLS-FT). These innovative techniques for Fourier transformation are predicated on the concept of inversion, and the C-LSQ-FT method establishes an overdetermined inverse problem within the realm of Fourier transformation. However, given the LSQ approach’s vulnerability to data outliers, we note the potential for considerable errors and potentially unrepresentative model estimations. To circumvent these shortcomings, we incorporate Steiner’s Most Frequent Value method into our framework, thereby providing a more reliable alternative. The fusion of the Iteratively Reweighted Least-Squares (IRLS) algorithm with Cauchy-Steiner weights enhances the robustness of our Fourier transformation process, culminating in the C-IRLS-FT method. We use Chebyshev polynomials as the basis functions in both methods, leading to the approximation of continuous Fourier spectra through a finite series of Chebyshev polynomials and their corresponding coefficients. The coefficients were obtained by solving an overdetermined non-linear inverse problem. We validated the performance of both the traditional Discrete Fourier Transform (DFT) and the newly developed C-IRLS-FT through numerical tests on synthetic datasets. The results distinctly exhibited the reduced sensitivity of the C-IRLS-FT method to outliers and dispersed noise, in comparison with the traditional DFT. We leveraged the newly proposed (C-IRLS-FT) technique in the application of low-pass filtering in the context of gravity data. The results corroborate the technique’s robustness and adaptability, making it a promising method for future applications in geophysical data processing. true 2024 true true true false true false GOLD 2026-05-23 true https://doi.org/10.1007/s40328-024-00444-z 4 0 4 4 0 4 4 4 2 4 4 4 4 4 0 0 4 4 4 4 0 8 8 Folyóiratcikk Journal Article 24 4 Könyvrészlet Chapter in Book 25 0 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2025 0 2 2 2 2 2026 0 2 2 2 2 Q2 false false false false 2024-06-27T07:56:44.665+0000 Mikoviny Sámuel Földtudományi Doktori Iskola (ME / MFK); Nyersanyagkutató Földtudományi Intézet (ME / MFK) 2 9 2 2 0 true Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 116853264 /api/authorship/116853264 Al Marashly, Omar [Al Marashly, Omar (Geofizika), szerző] Mikoviny Sámuel Földtudományi Doktori Iskola (ME / MFK); Nyersanyagkutató Földtudományi Intézet (ME / MFK) 1 0.5 true false false Author 10083700 /api/author/10083700 Al Marashly Omar (Geofizika) Al Marashly Omar true true Al Marashly Omar true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 116853265 /api/authorship/116853265 Dobróka, Mihály ✉ [Dobróka, Mihály (Geofizika), szerző] Nyersanyagkutató Földtudományi Intézet (ME / MFK) 2 0.5 false true true Author 10000424 /api/author/10000424 Dobróka Mihály (Geofizika) Dobróka Mihály true 10000424 true Dobróka Mihály true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 26277138 /api/publicationidentifier/26277138 DOI: 10.1007/s40328-024-00444-z PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true GOLD true IDENTICAL 10.1007/s40328-024-00444-z https://doi.org/10.1007/s40328-024-00444-z false true PublicationIdentifier 26393624 /api/publicationidentifier/26393624 WoS: 001232190300001 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001232190300001 https://www.webofscience.com/wos/woscc/full-record/001232190300001 false true PublicationIdentifier 26739757 /api/publicationidentifier/26739757 Scopus: 85194840794 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85194840794 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85194840794 false true PublicationIdentifier 26277139 /api/publicationidentifier/26277139 Egyéb URL: https://link.springer.com/10.1007/s40328-024-00444-z PlainSource 40 /api/publicationsource/40 Egyéb URL PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Egyéb URL Other URL @@@ true true 40 true https://link.springer.com/10.1007/s40328-024-00444-z https://link.springer.com/10.1007/s40328-024-00444-z false true SjrRating 11445232 /api/sjrrating/11445232 sjr:Q2 (2024) Scopus - Building and Construction ACTA GEODAETICA ET GEOPHYSICA 2213-5812 2213-5820 106 0.49 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 2215 /api/classificationexternal/2215 Scopus - Building and Construction true 2215 true Q2 DIRECT true true Reference 53723575 /api/reference/53723575 1. 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Magy Geofiz 51:88–98 19 false true /api/publication/34889369 Al Marashly Omar et al. Chebyshev polynomial-based Fourier transformation and it’s use in low pass filter of gravity data. (2024) ACTA GEODAETICA ET GEOPHYSICA 2213-5812 2213-5820 59 2 159-181<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10083700"><a href="/gui2/?type=authors&mode=browse&sel=10083700" target="_blank">Al Marashly Omar (<span class="authorship-author-name">Al Marashly Omar</span> <span class="authorAux-mtmt"> Geofizika</span>) </a> </span> <span class="author-affil"><span title="Miskolci Egyetem">ME</span>/<span title="Műszaki Föld- és Környezettudományi Kar ">MFK</span>/Mikoviny Sámuel Földtudományi Doktori Iskola; <span title="Miskolci Egyetem">ME</span>/<span title="Műszaki Föld- és Környezettudományi Kar ">MFK</span>/Nyersanyagkutató Földtudományi Intézet</span> ;    <span class="author-name" mtid="10000424"><a href="/gui2/?type=authors&mode=browse&sel=10000424" target="_blank">Dobróka Mihály ✉ (<span class="authorship-author-name">Dobróka Mihály</span> <span class="authorAux-mtmt"> Geofizika</span>) </a> </span> <span class="author-affil"><span title="Miskolci Egyetem">ME</span>/<span title="Műszaki Föld- és Környezettudományi Kar ">MFK</span>/Nyersanyagkutató Földtudományi Intézet</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;34889369" target="_blank">Chebyshev polynomial-based Fourier transformation and it’s use in low pass filter of gravity data</a></div> <div> <span class="journal-title">ACTA GEODAETICA ET GEOPHYSICA</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/2213-5812">2213-5812</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/2213-5820">2213-5820</a>)</span>: <span class="journal-volume">59</span> <span class="journal-issue">2</span> <span class="page"> pp 159-181 </span> <span class="year">(2024)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="10.1007/s40328-024-00444-z" target="_blank" href="https://doi.org/10.1007/s40328-024-00444-z"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001232190300001" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001232190300001"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85194840794" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85194840794"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://link.springer.com/10.1007/s40328-024-00444-z" target="_blank" href="https://link.springer.com/10.1007/s40328-024-00444-z"> Egyéb URL </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Building and Construction   SJR indikátor: Q2</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Geology   SJR indikátor: Q2</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Geophysics   SJR indikátor: Q2</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 4</span> | Független: 4 | Függő: 0 | Nem jelölt: 0 | WoS jelölt: 4 | Scopus jelölt: 2 | WoS/Scopus jelölt: 4 | DOI jelölt: 4 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;34889369&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 8 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 34889369</span> | <span class="status-data status-ADMIN_APPROVED"> Admin láttamozott </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2024.11.21. 23:19 Pécsi Éva (MTMT Közp 2,3, admin) </div> </div></div>