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.
REFERENCES(15)
1.
Dennis JE, Schnabel RB. Numerical methods for unconstrained optimization and nonlinear equations vol. 16; Classics in Applied Mathematics. SIAM 1996.
Guo F, Zhang X, Li X. Impact of sampling rate of IGS satellite clock on precise point positioning. Geo spatial information science 2010; 13 (2): 150-156 https://doi.org/10.1007/s11806....
Hestenes M. R, Stiefel E. Methods of Conjugate Gradients for Solving Linear Systems. Journal of Research of the National Bureau Standards 1952; 49: 409-436.
Khoh WH, Pang YH, Ooi SY, Wang LYK, Poh QW. Predictive churn modeling for sustainable business in the telecommunication industry: optimized weighted machine learning. Sustainability 2023; 15(11): 8631. https://doi.org/10.3390/su1511....
Maciuk K. Aging of ground global nvigation satellite system oscillators. Eksploatacja i Niezawodność – Maintenance and Reliability 2022; 24(2): 371-376. https://doi.org/10.17531/ein.2....
Nash SG. A survey of truncated-Newton methods. Journal of Computational and Applied Mathematics 2000; 124(1-2): 45-59. https://doi.org/10.1016/S0377-....
Nash SG, Sofer A. Assessing a search direction within a truncated-newton method. Operations Research Letters 1990; 9 (4): 219-221. https://doi.org/10.1016/0167-6....
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/10.1029/2010RS....
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.