Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials
Global geomagnetic field models typically have low spatial resolution, whereas regional models are constrained by boundary effects and limited truncation levels. To address these limitations, this study introduces a novel regional geomagnetic anomaly field model called the regional associated Legend...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/7/3555 |
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| author | Libo Zhu Houpu Li Jineng Ouyang Bo Zhu Ming Chang |
| author_facet | Libo Zhu Houpu Li Jineng Ouyang Bo Zhu Ming Chang |
| author_sort | Libo Zhu |
| collection | DOAJ |
| description | Global geomagnetic field models typically have low spatial resolution, whereas regional models are constrained by boundary effects and limited truncation levels. To address these limitations, this study introduces a novel regional geomagnetic anomaly field model called the regional associated Legendre polynomials magnetic model (R−ALPOLM). This model employs the associated Legendre polynomials method, which combines the QR decomposition approach and a comprehensive evaluation index formula to enhance the computational efficiency of parameter estimation. In addition, it allows for scientific and intuitive determination of the optimal truncation level of the model. The overall prediction accuracy of the model is significantly enhanced by identifying and re-predicting outliers using the exponential moving average approach. The results indicate that the degree 83 R−ALPOLM achieves a root mean square error (RMSE) of 3.21 nT. Compared to traditional models, the proposed model exhibits lower error rates, highlighting its superior efficiency and predictive accuracy. This underscores the potential value of the proposed model in both scientific research and practical applications. |
| format | Article |
| id | doaj-art-2e12360023cd44b88d7edec8be6c2479 |
| institution | OA Journals |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-2e12360023cd44b88d7edec8be6c24792025-08-20T02:09:10ZengMDPI AGApplied Sciences2076-34172025-03-01157355510.3390/app15073555Regional Geomagnetic Field Modeling Based on Associated Legendre PolynomialsLibo Zhu0Houpu Li1Jineng Ouyang2Bo Zhu3Ming Chang4College of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, ChinaGlobal geomagnetic field models typically have low spatial resolution, whereas regional models are constrained by boundary effects and limited truncation levels. To address these limitations, this study introduces a novel regional geomagnetic anomaly field model called the regional associated Legendre polynomials magnetic model (R−ALPOLM). This model employs the associated Legendre polynomials method, which combines the QR decomposition approach and a comprehensive evaluation index formula to enhance the computational efficiency of parameter estimation. In addition, it allows for scientific and intuitive determination of the optimal truncation level of the model. The overall prediction accuracy of the model is significantly enhanced by identifying and re-predicting outliers using the exponential moving average approach. The results indicate that the degree 83 R−ALPOLM achieves a root mean square error (RMSE) of 3.21 nT. Compared to traditional models, the proposed model exhibits lower error rates, highlighting its superior efficiency and predictive accuracy. This underscores the potential value of the proposed model in both scientific research and practical applications.https://www.mdpi.com/2076-3417/15/7/3555associated legendre polynomialsregional geomagnetic field modelingboundary effecttruncation levelanomaly detection |
| spellingShingle | Libo Zhu Houpu Li Jineng Ouyang Bo Zhu Ming Chang Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials Applied Sciences associated legendre polynomials regional geomagnetic field modeling boundary effect truncation level anomaly detection |
| title | Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials |
| title_full | Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials |
| title_fullStr | Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials |
| title_full_unstemmed | Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials |
| title_short | Regional Geomagnetic Field Modeling Based on Associated Legendre Polynomials |
| title_sort | regional geomagnetic field modeling based on associated legendre polynomials |
| topic | associated legendre polynomials regional geomagnetic field modeling boundary effect truncation level anomaly detection |
| url | https://www.mdpi.com/2076-3417/15/7/3555 |
| work_keys_str_mv | AT libozhu regionalgeomagneticfieldmodelingbasedonassociatedlegendrepolynomials AT houpuli regionalgeomagneticfieldmodelingbasedonassociatedlegendrepolynomials AT jinengouyang regionalgeomagneticfieldmodelingbasedonassociatedlegendrepolynomials AT bozhu regionalgeomagneticfieldmodelingbasedonassociatedlegendrepolynomials AT mingchang regionalgeomagneticfieldmodelingbasedonassociatedlegendrepolynomials |