On the numerical minimisation of the objective function applied to spherical harmonics fitting

• Autorzy: Czyrzniak Mateusz , Rapiński Jacek

Identyfikatory

DOI

10.29354/diag/171883

• Języki publikacji: EN

Abstrakty

EN

The paper presents some considerations on the performance of various objective function minimization methods in the process of GNSS antenna PCV determination. It is particulary important in the case of structural health monitoring and diagnostics. PCV are used as an additional feature to improve the GNSS positioning accuracy. The process of PCV derivation is complex and involves fitting spherical harmonics into a set of observables. The paper compares computing performance and accuracy of few methods used in the fitting process.

Słowa kluczowe

EN

GNSS; phase center variations; computational performance

PL

GNSS; zmienność położenia centrum fazowego; diagnostyka; monitorowanie; wydajność obliczeniowa

• Wydawca: Polskie Towarzystwo Diagnostyki Technicznej
• Czasopismo: Diagnostyka
• Rocznik: 2023
• Tom: Vol. 24, No. 3
• Strony: art. no. 2023313
• Opis fizyczny: Bibliogr. 12 poz., tab., wykr.

Twórcy

autor

Czyrzniak Mateusz

• University of Warmia and Mazury in Olsztyn, Faculty of Geoengineering, Institute of Geodesy and Civil Engineering, Oczapowskiego 1, 10-719 Olsztyn, Poland

autor

Rapiński Jacek

• University of Warmia and Mazury in Olsztyn, Faculty of Geoengineering, Institute of Geodesy and Civil Engineering, Oczapowskiego 1, 10-719 Olsztyn, Poland

• https://orcid.org/0000-0002-8954-7963

Bibliografia

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• 9. Schmidt M, Dettmering D, Mößmer M, Wang Y, Zhang J. Comparison of spherical harmonic and B spline models for the vertical total electron content. Radio Science 2011; 46(6): 1-8. https://doi.org/10.1029/2010RS004609.
• 10. Stuetzle W. The Conjugate Gradient Method. Statistical Computing 2001.
• 11. Zhu C, Byrd R. H, Lu P, Nocedal J. Algorithm 778: LBFGS-B: Fortran Subroutines for Large-Scale BoundConstrained Optimization. ACM Transactions on Mathematical Software 1997; 23(4): 550-560. https://doi.org/10.1145/279232.279236.
• 12. https://ui.adsabs.harvard.edu/link_gateway/2018zndo.1241501V/doi:10.5281/zenodo.1241501.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).