Abstract
Integer ambiguity resolution enabled Precise (cm-level) Point Positioning (PPP) is feasible if corrections from a GPS network of CORS stations are applied to the single-receiver phase and code data of a user. The concept of PPP-RTK requires a proper definition and quality of the PPP-user network corrections, which are satellite clocks, satellite phase biases and ionospheric delays interpolated to the approximate location of the user. The availability of the satellite phase bias corrections enables the user to carry out integer resolution of ambiguities that are double-differenced, i.e., relative to those of the pivot receiver in the network. The availability of the interpolated ionospheric corrections is not absolutely required, however PPP-RTK for single-frequency users would virtually be impossible without them. A proper handling of the network corrections implies that the PPP-user should take their uncertainty into account as well. In order to limit the amount of information to be transmitted to the user, in this contribution we provide a closed-form analytical expression for the variance matrix of the network corrections which a single-frequency user can apply in his processing. Experimental results of single-frequency PPP-RTK for both a high-grade geodetic receiver as well as a low-grade mass-market receiver demonstrate that although single-epoch integer ambiguity resolution is not possible, single-frequency ambiguity resolution enabled cm-level PPP is feasible based on an accumulation of less than 10 min of observations plus network corrections on average.
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References
van Bree RJP, Tiberius CCJM (2012) Real-time single-frequency precise point positioning: accuracy assessment. GPS Solut 16(2):259–266
Chen X, Allison T, Cao W, Ferguson K, Gruenig S, Gromez V, Kipka A, Koehler J, Landau H, Leandro R, Lu G, Stolz R, Talbot N (2011) Trimble RTX, an innovative new approach for network RTK. In: Proceedings of ION GNSS-2011, pp 2214–2219, Portland, OR, 19–23 September 2011
Collins P, Lahaye F, Heroux P, Bisnath S (2008) Precise point positioning with ambiguity resolution using the decoupled clock model. In: Proceedings of ION GNSS-2008, pp 1315–1322, Savannah, GA, 16–19 September 2008
Dow JM, Neilan RE, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geodes 83:191–198
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 Geodes 82:389–399
Geng J, Teferle FN, Meng X, Dodson AH (2011) Towards PPP-RTK: ambiguity resolution in real-time precise point positioning. Adv Space Res 47:1664–1673
Huisman L, Teunissen PJG, Hu C (2012) GNSS precise point positioning in regional reference frames using real-time broadcast corrections. J Appl Geodes 6:15–23
Kouba J, Heroux P (2001) Precise point positioning using IGS orbit products. GPS Solut 5(2):12–28
Lannes A, Teunissen PJG (2011) GNSS algebraic structures. J Geodes 85:273–290
Laurichesse D, Mercier F (2007) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP. In: Proceedings of ION GNSS-2007, pp 839–848, Fort Worth, TX, 25–28 September 2007
Li X, Zhang X, Ge M (2011) Regional reference network augmented precise point positioning for instantaneous ambiguity resolution. J Geodes 85:151–158
Loyer S, Perosanz F, Mercier F, Capdeville H, Marty JC (2012) Zero difference GPS ambiguity resolution at CNES-CLS IGS analysis center. J Geodes. doi:10.1007/s00190-012-0559-2
Odijk D, Teunissen PJG (2008) ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models. J Geodes 82:473–492
Schaer S (1999) Mapping and predicting the Earth’s ionosphere using the global positioning system. Ph.D. thesis
Teunissen PJG, Odijk D, Zhang B (2010) PPP-RTK: results of CORS network-based PPP with integer ambiguity resolution. J Aeronaut Astronaut Aviat Ser A 42(4):223–230
Vollath U, Buecherl A, Landau H, Pagels C, Wagner B (2000) Multi-base RTK positioning using virtual reference stations. In: Proceedings of ION GPS-2000, pp 123–131, Salt Lake City, UT, 19–22 September 2000
Wackernagel H (2003) Multivariate geostatistics: an introduction with applications. Springer, Berlin
Wuebbena G, Schmitz M, Bagge A (2005) PPP-RTK: precise point positioning using state-space reprentation in RTK networks. In: Proceedings of ION GNSS-2005, pp 2584–2594, Long Beach, CA, 13–16 September 2005
Zumberge JF, Heflin MB, Jefferson DC, Watkins MM, Webb FH (1997) Precise point positioning for the efficient and robust analysis of GPS data from large networks. J Geophys Res 102:5005–5017
Acknowledgements
This work has been executed in the framework of the Positioning Program Project 1.01 of the Cooperative Research Centre for Spatial Information (CRC-SI2). Peter J.G. Teunissen is the recipient of an Australian Research Council (ARC) Federation Fellowship (project number FF0883188). The CORS network data in this study have been provided by the GPS Network Perth. All this support is gratefully acknowledged.
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Odijk, D., Teunissen, P.J.G., Khodabandeh, A. (2014). Single-Frequency PPP-RTK: Theory and Experimental Results. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_75
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DOI: https://doi.org/10.1007/978-3-642-37222-3_75
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