Startseite Interpolation Method Research and Precision Analysis of GPS Satellite Position
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Interpolation Method Research and Precision Analysis of GPS Satellite Position

  • Jianmin Wang , Yabo Li EMAIL logo , Huizhong Zhu und Tianming Ma
Veröffentlicht/Copyright: 29. Juni 2018
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

According to the precise ephemeris has only provided satellite position that is discrete not any time, so propose that make use of interpolation method to calculate satellite position at any time. The essay take advantage of IGS precise ephemeris data to calculate satellite position at some time by using Lagrange interpolation, Newton interpolation, Hermite interpolation, Cubic spline interpolation method, Chebyshev fitting method respectively, which has a deeply analysis in the precision of five interpolations. The results show that the precision of Cubic spline interpolation method is the worst, the precision of Chebyshev fitting is better than Hermite interpolation method. Lagrange interpolation and Newton interpolation are better than other methods in precision. Newton interpolation method has the advantages of high speed and high precision. Therefore, Newton interpolation method has a certain scientific significance and practical value to get the position of the satellite quickly and accurately.

References

[1] He F, Gao C F, Pan S G, et al. The precise point positioning of different ephemeris and clock products analysis of the results of the. Navigation Journal, 2015, 3(4): 79–84.Suche in Google Scholar

[2] Zhang X H, Guo F, Li X X, et al. GPS/GLONASS combined precision single point positioning research. Journal of Wuhan University: Information Science Edition, 2010, 35(1): 9–12.Suche in Google Scholar

[3] Wang J X, Wang J G, Chen J P. The satellite position and velocity of the Beidou satellite broadcast ephemeris fitting based on. Journal of Tongji University (Natural Science Edition), 2016, 44(1): 155–160.Suche in Google Scholar

[4] Li Z H, Huang J S. GPS measurement and data processing. 2nd Edition. Wuhan: Wuhan University Press, 2010: 73–74.Suche in Google Scholar

[5] Shi W P, Liu X. Generalized extended application of. Surveying and spatial information extension method in IGS precise ephemeris interpolation, 2014, 37(11): 143–145.Suche in Google Scholar

[6] Sun P, Zhao C S, Wang R. A new precise ephemeris interpolation method. Global Positioning System, 2015, 40(6): 89–91.Suche in Google Scholar

[7] Zhang Z J, Wang Y L, Zhang J. Two kinds of interpolation methods for precise ephemeris interpolation data processing. Beijing Surveying and Mapping, 2015(5): 40–43.Suche in Google Scholar

[8] Liu Y H. Interpolation and fitting methods for Spacecraft Orbit Determination of satellite coordinates. Xi’an: Xi’an Electronic and Science University, 2014: 29–30.Suche in Google Scholar

[9] Tong H B, Sa H, Zhang G Z, et al. A real-time interpolation method of GNSS satellite orbit high precision. Journal of National University of Defense Technology, 2012, 34(2): 59–63.Suche in Google Scholar

[10] Sun H L, Zhang Z Z. Accuracy analysis of interpolation method in the calculation of global positioning system satellite position. Journal of Navigation and Positioning, 2013, 1(3): 89–93.Suche in Google Scholar

[11] Ji C D, Xu A G, Feng L. GPS processing method of precise ephemeris fitting and interpolation of the Runger phenomenon. Science of Surveying and Mapping, 2011, 36(6): 169–171.Suche in Google Scholar

[12] Wang X, Gao J X, Wang J, et al. Using Chebyshev polynomial fitting sliding coordinates and satellite precise clock. Bulletin of Surveying and Mapping, 2015(5): 6–8+16.Suche in Google Scholar

[13] Wang W, Chen M J, Yan J Q, etc. Three kinds of Beidou satellite precise ephemeris interpolation methods to compare and analyze the. Global Positioning System, 2016, 41(2): 60–65.Suche in Google Scholar

[14] Peng X Q, Gao J X. Broadcast ephemeris interpolation sliding Chebyshev analysis method of. Technology Based on Coal, 2015, 34(6): 104–106.Suche in Google Scholar

[15] Chen P, Chen Z Y, et al. A new method of GPS precise ephemeris interpolation. Geodesy and Geodynamics, 2009, 29(2): 111–114.Suche in Google Scholar

[16] Wang J M, Huang J P, Zhu H Z, et al. Ionospheric total electron number forecast method research. Science of Surveying and Mapping, 2016, 41(12): 47–53.Suche in Google Scholar

[17] Wang J M, Ma T M, Zhu H Z. Fast resolution of double frequency BDS integer ambiguity realized by improved LAMBDA algorithm. Systems Engineering — Theory & Practice, 2017, 37(3): 768–772.Suche in Google Scholar

[18] Wang J M, Ma T M, Zhu H Z. Real time rapid resolution of integer ambiguity for BDS/GPS combined system. Journal of China University of Mining & Technology, 2017, 46(3): 672–678.Suche in Google Scholar

Received: 2017-02-08
Accepted: 2017-11-13
Published Online: 2018-06-29

© 2018 Walter De Gruyter GmbH, Berlin/Boston

Heruntergeladen am 8.10.2025 von https://www.degruyterbrill.com/document/doi/10.21078/JSSI-2018-277-12/html
Button zum nach oben scrollen