Estimation of satellite position, clock and phase bias corrections
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Precise point positioning with integer ambiguity resolution requires precise knowledge of satellite position, clock and phase bias corrections. In this paper, a method for the estimation of these parameters with a global network of reference stations is presented. The method processes uncombined and undifferenced measurements of an arbitrary number of frequencies such that the obtained satellite position, clock and bias corrections can be used for any type of differenced and/or combined measurements. We perform a clustering of reference stations. The clustering enables a common satellite visibility within each cluster and an efficient fixing of the double difference ambiguities within each cluster. Additionally, the double difference ambiguities between the reference stations of different clusters are fixed. We use an integer decorrelation for ambiguity fixing in dense global networks. The performance of the proposed method is analysed with both simulated Galileo measurements on E1 and E5a and real GPS measurements of the IGS network. We defined 16 clusters and obtained satellite position, clock and phase bias corrections with a precision of better than 2 cm.
KeywordsNetwork solution Satellite phase biases Satellite position and clock corrections Ambiguity fixing
The authors would like to thank the International GNSS Service (IGS) [see Dow et al. (2009)] for providing the GNSS measurements and the orbital reference of this work.
- Baarda W (1973) S-transformations and criterion matrices. Publ Geodesy 5(1):18Google Scholar
- Brown RG, Hwang PYC (2012) Introduction to random signals and applied Kalman filtering, 4th edn. Wiley, New YorkGoogle Scholar
- Collins P (2008) Isolating and estimating undifferenced GPS integer ambiguities. In: Proceedings of ION NTM, ION, San Diego, CA, USA, pp 720–732Google Scholar
- Dach R, Hugentobler U, Fridez P, Meindl M (2007) Bernese GPS Software Version 5.0, User manual. Astronomical Institute, University of Bern, SwitzerlandGoogle Scholar
- Henkel P, Mittmann U, Iafrancesco M (2016) Real-time kinematic positioning with GPS and GLONASS. In: Proceedings of 24th European signal processing conference (EUSIPCO), IEEE, Budapest, Hungary, pp 1–5Google Scholar
- Laurichesse D, Mercier F (2007) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP. In: Proceedings of 20th ION GNSS, ION, Fort Worth, TX, USA, pp 839–848Google Scholar
- Laurichesse D, Mercier F, Berthias JP (2010) Real-time PPP with undifferenced integer ambiguity resolution, experimental results. In: Proceedings of 23rd ION GNSS, ION, Portland, Oregon, USA, pp 2534–2544Google Scholar
- Lindlohr W, Wells D (1985) GPS design using undifferenced carrier beat phase observations. Manuscr Geod 10:255–295Google Scholar
- Montenbruck O, Steigenberger P, Prange L, Deng Z, Zhao Q, Perosanz F, Romero I, Noll C, Stürze A, Weber G, Schmid R, MacLeod K, Schaer S (2016) The multi-GNSS experiment (MGEX) of the international GNSS service (IGS)—achievements, prospects and challenges. Adv Space Res 59(7):1671–1697CrossRefGoogle Scholar
- Seepersad G, Banville S, Collins P, Bisnath S, Lahaye F (2016) Integer satellite clock combination for precise point positioning with ambiguity resolution. In: Proceedings of 29th ION GNSS, ION, Portland, OR, USA, pp 2058–2068Google Scholar
- Wen Z, Henkel P, Günther C (2011) Reliable estimation of phase biases of GPS satellites with a local reference network. In: Proceedings of 53rd international IEEE symposium on ELMAR, IEEE, Zadar, Croatia, pp 321–324Google Scholar