GNSS Precise Point Positioning Algorithm Based on Parameter Equivalent Reduction Principle
Abstract
The standard GNSS combined PPP algorithm cannot be used satisfactorily in the real-time and high frequency precise positioning because of its low compute efficiency. A new algorithm based on the parameter equivalent reduction principle is proposed. First, the observations equation and the normal equation which belong to the single navigation system can be solved independently. Second, the normal equations of overlapping parameters between the different systems can be obtained by using parameter equivalent reduction principle. At last, the combined PPP resolutions can be computed easily by using the Least Squares method. The proposed algorithm can improve the calculating efficiency immensely. In addition, an adaptively combined method which can automatically adjusts the contributed weight of different GNSS systems is also proposed in this paper. The numerical examples using the data set of three IGS stations, show that the PPP precisions and efficiencies based on the proposed model have been improved significantly compared with those of standard model. This proposed principle can also be applied in the GNSS precise satellite clock determination and the indifference baseline network adjustment plus the GNSS time offset monitoring.
Keywords
Parameter reduction PPP Combined positioning GPS/GLONASSNotes
Acknowledgments
This study was supported by National Natural Science Foundation of China (Grant No. 41020144004, 40902081, 41104019 and 41104022), the Special Fund for Basic Scientific Research of Central Colleges (Grant No. CHD2010ZY001, No. CHD2011ZY023, Chang’an University).
References
- 1.Yang Y (2010) Progress, contribution and challenges of compass/beidou satellite navigation system. Acta Geodaetica et Cartographica Sinica 39(1):1–6Google Scholar
- 2.Yang Y, Li J, Xu J et al (2011) Contribution of the compass satellite navigation system to global PNT users. Chinese Sci Bull 2011:56. doi: 10.1007/s11434-011-4627-4 Google Scholar
- 3.Ge M, Chen J, Dousa J, Gendt G, Wickert J (2012) A computationally efficient approach for estimating high-rate satellite clock corrections in real-time. GPS Solutions. doi 10.1007/s10291-011-0206-z
- 4.Ge M, Gendt G, Dick G, Zhang FP (2005) Improving carrier-phase ambiguity resolution in global GPS network solutions. J Geodesy 79(1–3):103–110CrossRefGoogle Scholar
- 5.Ge M, Gendt G, Rothacher M, Shi C, Liu J (2008) Resolution of GPS carrier-phase ambiguities in precise point positioning (PPP) with daily observations. J Geodesy 82(7):389–399CrossRefGoogle Scholar
- 6.Ge M, Chen J, Dousa J, et al. (2011) A computationally efficient approach for estimating high-ratesatellite clock corrections in realtime. GPS Solutions. Doi 10.1007/s10291-011-0206-z
- 7.Zhang B, Ou J, Yuan Y, Zhong S (2010) Precise point positioning (PPP) algorithm based on original dual-frequency GPS code and carrier-phase observations and its application. Acta Geodaetica et Cartographica Sinica 39(5):478–483Google Scholar
- 8.Ye SR (2002) GPS precise point positioning using un-differenced phase observation. Wuhan University, WuhanGoogle Scholar
- 9.Huang GW (2008) Research on GPS precise point positioning and adjustment of high precision GPS baseline network and the realization of its software. Chang’an University, XianGoogle Scholar
- 10.Wang ZJ (2012) Performance analysis of combined GPS/GLONASS precise point positioning. J Geodesy Geodyn 2(32):105–109Google Scholar
- 11.Cai CS et al (2011) Performance analysis of combined GPS/GLONASS precise point positioning. J Geodesy Geodyn 3:85–89Google Scholar
- 12.Zhang XH, Guo F, Li XX, et al. (2011) Study on precise point positioning based on combined GPS and GLONASS. Geomatics Inf Sci Wuhan Univ 35(1):9–12Google Scholar
- 13.Melgard T, Jong KD, Lachapelle G, et al. (2011) Interchangeable integration of GPS and GLONASS by using a common system clock in PPP. In: ION GNSS 2011, Session F3, Portland, OR, 20–23 Sept 2011Google Scholar
- 14.Jokinen A, Feng SJ, Milner C, et al. (2011). Precise point positioning and integrity monitoring with GPS and GLONASS[C], [Online]. Available: http://www.rin.org.uk/Uploadedpdfs/ConferenceProceedings/
- 15.Cai CS (2009) Precise point positioning using dual-frequency GPS and GLONASS measurements. University of Calgary, Master PaperGoogle Scholar
- 16.Melgard T, Vigen E, Orpen O (2009). Advantages of combined GPS and GLONASS PPP—experiences based on G2, a new service from Fugro. In: 13th IAIN world congress, 27–30 Oct, Stockholm, pp 1–7Google Scholar
- 17.Russell D (2010) Improving accuracy and redundancy with GPS and GLONASS PPP. In: Dynamic positioning conference 12–13 Oct, pp 1–12Google Scholar
- 18.Xu GC (2003) gps theory, algorithms and applications. Springer, BerlinGoogle Scholar
- 19.Xu GC (2002) GPS data processing with equivalent observation equations. GPS Solutions 6:28–33CrossRefGoogle Scholar
- 20.Wang QX, Xu TH, Xu GC (2011) Adaptively changing reference station algorithm and its application in GPS long range airborne kinematic relative positioning. Acta Geodaetica et Cartographica Sinica 4(40):429–434Google Scholar
- 21.Yang YX, Zeng AM (2008) Fusion modes of various geodetic observations and their analysis . Geomatics Inf Sci Wuhan Univ 33(8):771–774Google Scholar
- 22.Yang YX, Song LJ, Xu TH (2002) Robust parameter estimation for geodetic correlated observations. Acta Geodaetica et Cartographica Sinica, 31(2):95–99Google Scholar
- 23.Yang YX, Song LJ, Xu TH (2002) Robust estimator for correlated observations based on bifactor equivalent weights. J Geodesy 76(6–7):353–358MATHCrossRefGoogle Scholar
- 24.Yang YX, Cui XQ (2008) Adaptively robust filter with multi adaptive factors. Survey Rev 40(309):260–270CrossRefGoogle Scholar
- 25.Huang GW, Yang YX, Zhang Q (2011) Estimate and predict satellite clock error using adaptively robust sequential adjustment with classified adaptive factors based on opening windows. Acta Geodaetica et Cartographica Sinica 40(1):15–21Google Scholar
- 26.Huang GW, Tu R, Zhang Q et al (2010) A new real-time kinematic precise point positioning algorithm based on reference-station corrections. J Geodesy Geodyn 36(6):135–139Google Scholar