Abstract
The emergence of multiple satellite navigation systems, including BDS, Galileo, modernized GPS, and GLONASS, brings great opportunities and challenges for precise point positioning (PPP). We study the contributions of various GNSS combinations to PPP performance based on undifferenced or raw observations, in which the signal delays and ionospheric delays must be considered. A priori ionospheric knowledge, such as regional or global corrections, strengthens the estimation of ionospheric delay parameters. The undifferenced models are generally more suitable for single-, dual-, or multi-frequency data processing for single or combined GNSS constellations. Another advantage over ionospheric-free PPP models is that undifferenced models avoid noise amplification by linear combinations. Extensive performance evaluations are conducted with multi-GNSS data sets collected from 105 MGEX stations in July 2014. Dual-frequency PPP results from each single constellation show that the convergence time of undifferenced PPP solution is usually shorter than that of ionospheric-free PPP solutions, while the positioning accuracy of undifferenced PPP shows more improvement for the GLONASS system. In addition, the GLONASS undifferenced PPP results demonstrate performance advantages in high latitude areas, while this impact is less obvious in the GPS/GLONASS combined configuration. The results have also indicated that the BDS GEO satellites have negative impacts on the undifferenced PPP performance given the current “poor” orbit and clock knowledge of GEO satellites. More generally, the multi-GNSS undifferenced PPP results have shown improvements in the convergence time by more than 60 % in both the single- and dual-frequency PPP results, while the positioning accuracy after convergence indicates no significant improvements for the dual-frequency PPP solutions, but an improvement of about 25 % on average for the single-frequency PPP solutions.

















Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Banville S, Collins P, Zhang W, Langley RB (2014) Global and regional ionospheric corrections for faster ppp convergence. Navigation 61(2):115–124
Cai C, Gao Y (2007) Precise point positioning using combined GPS and GLONASS observations. J Glob Position Syst 6(1):13–22
Cai C, Gao Y (2013) Modeling and assessment of combined GPS/GLONASS precise point positioning. GPS Solut 17(2):223–236
Choy S, Zhang S, Lahaye F, Héroux P (2013) A comparison between GPS-only and combined GPS + GLONASS precise point positioning. J Spat Sci 58(2):169–190
Chuang S, Wenting Y, Weiwei S, Yidong L, Rui Z (2013) GLONASS pseudorange inter-channel biases and their effects on combined GPS/GLONASS precise point positioning. GPS Solut 17(4):439–451
Dach R, Hugentobler U, Fridez P, Meindl M (2007) Bernese GPS software version 5.0. Astronomical Institute, University of Bern, 640, 114
Dach R, Schaer S, Lutz S, Meindl M, Beutler G (2010) Combining the observations from different GNSS. In: EUREF 2010 symposium, pp 02–05
Defraigne P, Baire Q (2011) Combining GPS and GLONASS for time and frequency transfer. Adv Space Res 47(2):265–275
Dow JM, Neilan RE, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geod 83(3–4):191–198
Ge M, Zhang H, Jia X, Song S, Wickert J (2012) What is achievable with current COMPASS constellations? In: Proceedings of the ION GNSS 2012. Institute of Navigation, Nashville, TN, pp 331–339
Gu S, Shi C, Lou Y, Liu J (2015) Ionospheric effects in uncalibrated phase delay estimation and ambiguity-fixed PPP based on raw observable model. J Geod 89(5):447–457
Gurtner W, Estey L (2013) RINEX: the receiver independent exchange format, version 3.02, Technical Report, IGS Central Bureau
Hackel S, Steigenberger P, Hugentobler U, Uhlemann M, Montenbruck O (2013) Galileo orbit determination using combined GNSS and SLR observations. GPS Solut 19(1):15–25
Juan JM, Sanz J, Hernández-Pajares M, Samson J, Tossaint M, Aragón-Àngel A, Salazar D (2012) Wide area RTK: a satellite navigation system based on precise real-time ionospheric modelling. Radio Sci 47, RS2016. doi:10.1029/2011RS004880
Le AQ, Tiberius C (2007) Single-frequency precise point positioning with optimal filtering. GPS Solut 11(1):61–69
Li M, Qu L, Zhao Q, Guo J, Su X, Li X (2014) Precise point positioning with the BeiDou navigation satellite system. Sensors 14(1):927–943
Lou Y, Liu Y, Shi C, Yao X, Zheng F (2014) Precise orbit determination of BeiDou constellation based on BETS and MGEX network. Sci Rep 4, Article number: 4692
Monge BM, Rodríguez-Caderot G, de Lacy MC (2014) Multifrequency algorithms for precise point positioning: MAP3. GPS Solut 18(3):355–364
Montenbruck O, Hauschild A, Steigenberger P (2014) Differential code bias estimation using multi-GNSS observations and global ionosphere maps. Navigation 61(3):191–201
Schempp T, Burke J, Rubin A (2008) WAAS benefits of GEO ranging. In: Proceedings of the ION GNSS 2008, Institute of Navigation, Savannah, GA, 16–19 September, pp 1903–1910
Schönemann E, Becker M, Springer T (2011) A new approach for GNSS analysis in a multi-GNSS and multi-signal environment. J Geod Sci 1(3):204–214
Shi C, Gu S, Lou Y, Ge M (2012) An improved approach to model ionospheric delays for single-frequency precise point positioning. Adv Space Res 49(12):1698–1708
Steigenberger P, Hauschild A, Montenbruck O, Rodriguez-Solano C, Hugentobler U (2013) Orbit and clock determination of QZS-1 based on the CONGO network. Navigation 60(1):31–40
Steigenberger P, Hugentobler U, Loyer S, Perosanz F, Prange L, Dach R, Montenbruck O (2015) Galileo orbit and clock quality of the IGS multi-GNSS experiment. Adv Space Res 55(1):269–281
Tu R, Ge M, Zhang H, Huang G (2013) The realization and convergence analysis of combined PPP based on raw observation. Adv Space Res 52(1):211–221
Wanninger L, Beer S (2015) BeiDou satellite-induced code pseudorange variations: diagnosis and therapy. GPS Solut 19(4):639–648
Wu JT, Wu SC, Hajj GA, Bertiger WI, Lichten SM (1993) Effects of antenna orientation on GPS carrier phase. Manuscr Geod 18:91–98
Yang Y, Li J, Xu J, Tang J, Guo H, He H (2011) Contribution of the compass satellite navigation system to global PNT users. Chin Sci Bull 56(26):2813–2819
Yao Y, Zhang R, Song W, Shi C, Lou Y (2013) An improved approach to model regional ionosphere and accelerate convergence for precise point positioning. Adv Space Res 52(8):1406–1415
Zhao Q, Guo J, Li M, Qu L, Hu Z, Shi C, Liu J (2013) Initial results of precise orbit and clock determination for COMPASS navigation satellite system. J Geod 87(5):475–486
Acknowledgments
We would like to acknowledge the efforts of the IGS MGEX campaign in providing multi-GNSS data and products. This study is supported by the National Nature Science Foundation of China (No: 41374034) and partially sponsored by the Fundamental Research Funds for the Central Universities (2042014kf0081).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lou, Y., Zheng, F., Gu, S. et al. Multi-GNSS precise point positioning with raw single-frequency and dual-frequency measurement models. GPS Solut 20, 849–862 (2016). https://doi.org/10.1007/s10291-015-0495-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10291-015-0495-8