Abstract
A multi-GNSS kinematic precise point positioning (PPP) approach that is based on the mixed use of time-differenced and undifferenced carrier phase observations is presented. The approach reduces the number of constant parameters, such as ambiguities and hardware biases, and mitigates quasi-constant systematic errors including residual atmospheric refractions and multipath effects. The effectiveness and efficiency of the proposed approach are validated in some PPP tests of running and vehicle driving. The proposed method requires an accurate initial position. When that is available, up to 71% improvement in positioning accuracy can be achieved compared with traditional PPP. The proposed approach is also computationally efficient, especially for high-rate positioning applications.
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Banville S, Collins P, Lahaye F (2018) Model comparison for GLONASS RTK with low-cost receivers. GPS Solut 22:52. https://doi.org/10.1007/s10291-018-0712-3
Bisnath SB, Langley RB (2002) High-precision platform positioning with a single GPS receiver. Navigation 49:161–169. https://doi.org/10.1002/j.2161-4296.2002.tb00265.x
Blewitt G (1990) An automatic editing algorithm for GPS data. Geophys Res Lett 17:199–202. https://doi.org/10.1029/GL017i003p00199
Bock Y, Melgar D (2016) Physical applications of GPS geodesy: a review. Rep Prog Phys. https://doi.org/10.1088/0034-4885/79/10/106801
Cai C, Gao Y (2013) Modeling and assessment of combined GPS/GLONASS precise point positioning. GPS Solut 17:223–236. https://doi.org/10.1007/s10291-012-0273-9
Colosimo G, Crespi M, Mazzoni A (2011) Real-time GPS seismology with a stand-alone receiver: a preliminary feasibility demonstration. J Geophys Res-Sol Ea. https://doi.org/10.1029/2010jb007941
Dach R, Schaer S, Lutz S, Meindl M, Beutler G (2010) Combining the observations from different GNSS. In: Proceedings of EUREF 2010 symposium, Sweden
Ding W (2007) Integration of MEMS INS with GPS carrier phase derived velocity: a new approach. In: Proceedings of the 20th international technical meeting of the satellite division of the institute of navigation (ION GNSS 2007), Fort Worth, TX, USA, pp 2085–2093
Ding W, Wang J (2011) Precise velocity estimation with a stand-alone GPS receiver. J Navig 64:311–325. https://doi.org/10.1017/S0373463310000482
Ford TJ, Hamilton J (2003) A new positioning filter: phase smoothing in the position domain. Navigation 50:65–78. https://doi.org/10.1002/j.2161-4296.2003.tb00319.x
Freda P, Angrisano A, Gaglione S, Troisi S (2015) Time-differenced carrier phases technique for precise GNSS velocity estimation. GPS Solut 19:335–341. https://doi.org/10.1007/s10291-014-0425-1
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 Geod 82:389–399. https://doi.org/10.1007/s00190-007-0187-4
Håkansson M, Jensen ABO, Horemuz M, Hedling G (2016) Review of code and phase biases in multi-GNSS positioning. GPS Solut. https://doi.org/10.1007/s10291-016-0572-7
Han S, Wang J (2012) Integrated GPS/INS navigation system with dual-rate Kalman filter. GPS Solut 16:389–404. https://doi.org/10.1007/s10291-011-0240-x
Hofmann-Wellenhof B, Lichtenegger H, Wasle E (2008) GNSS: global navigation satellite systems: GPS, GLONASS, Galileo, and more. Springer, Vienna
Kjørsvik N, Gjevestad J, Øvstedal O (2006) Handling of the tropospheric delay in kinematic precise point positioning. In: Proceedings of the 19th international technical meeting of the satellite division of the institute of navigation (ION GNSS 2006), Fort Worth, TX, USA, pp 2279–2281
Kouba J (2015) A guide to using International GNSS Service (IGS) products. http://kb.igs.org/hc/en-us/article_attachments/203088448/UsingIGSProductsVer21_cor.pdf. Accessed 01 Dec 2016
Leandro RF, Langley RB, Santos MC (2008) UNB3m_pack: a neutral atmosphere delay package for radiometric space techniques. GPS Solut 12:65–70. https://doi.org/10.1007/s10291-007-0077-5
Leick A, Rapoport L, Tatarnikov D (2015) GPS satellite surveying, 4th edn. Wiley, Hoboken
Li P, Zhang X (2014) Integrating GPS and GLONASS to accelerate convergence and initialization times of precise point positioning. GPS Solut 18:461–471. https://doi.org/10.1007/s10291-013-0345-5
Li X, Ge M, Guo B, Wickert J, Schuh H (2013) Temporal point positioning approach for real-time GNSS seismology using a single receiver. Geophys Res Lett 40:5677–5682. https://doi.org/10.1002/2013GL057818
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. https://doi.org/10.1038/srep04692
Moafipoor S, Grejner-Brzezinska D, Toth C (2004) Tightly coupled GPS/INS integration based on GPS carrier phase velocity update. In: Proceedings of the 17th international technical meeting of the satellite division of the institute of navigation (ION GNSS 2004), Long Beach, CA,USA, pp 1094–1102
Olynik M, Petovello MG, Cannon ME, Lachapelle G (2002) Temporal variability of GPS error sources and their effect on relative positioning accuracy. In: Proceedings of the 2002 national technical meeting of the institute of navigation, San Diego, CA, USA, pp 877–888
Serrano L, Kim D, Langley RB (2004a) A single GPS receiver as a real-time, accurate velocity and acceleration sensor. In: Proceedings of the 17th international technical meeting of the satellite division of the institute of navigation (ION GNSS 2004), Long Beach, CA, USA, pp 2021–2034
Serrano L, Kim D, Langley RB, Itani K, Ueno M (2004b) A GPS velocity sensor: how accurate can it be? A first look. In: Proceedings of the 17th international technical meeting of the satellite division of the institute of navigation (ION GNSS 2004), Long Beach, CA, USA, pp 875–885
Soon BKH, Scheding S, Lee HK, Lee HK, Durrant-Whyte H (2008) An approach to aid INS using time-differenced GPS carrier phase (TDCP) measurements. GPS Solut 12:261–271. https://doi.org/10.1007/s10291-007-0083-7
Teunissen PJG, Khodabandeh A (2015) Review and principles of PPP-RTK methods. J Geod 89:217–240. https://doi.org/10.1007/s00190-014-0771-3
Traugott J, Odijk D, Montenbruck O, Sachs G, Tiberius C (2008) Making a difference with GPS. GPS World 19:48–57
Van Graas F, Soloviev A (2004) Precise velocity estimation using a stand-alone GPS receiver. Navigation 51:283–292. https://doi.org/10.1002/j.2161-4296.2004.tb00359.x
Wendel J, Meister O, Monikes R, Trommer GF (2006) Time-differenced carrier phase measurements for tightly coupled GPS/INS integration. In: Proceedings of IEEE/ION PLANS 2006, San Diego, CA, USA, pp 54–60. https://doi.org/10.1109/plans.2006.1650587
Xu P (1991) Least squares collocation with incorrect prior information. ZfV 116:266–273
Yu W, Ding X, Dai W, Chen W (2017) Systematic error mitigation in multi-GNSS positioning based on semiparametric estimation. J Geod 91:1491–1502. https://doi.org/10.1007/s00190-017-1038-6
Zhao Y (2016) Applying time-differenced carrier phase in non-differential GPS/IMU tightly-coupled navigation systems to improve the positioning performance. IEEE T Veh Technol 66:992–1003. https://doi.org/10.1109/TVT.2016.2558206
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-Sol Ea 102:5005–5017. https://doi.org/10.1029/96jb03860
Acknowledgements
The authors would like to thank the anonymous reviewers and the editors for their constructive comments. Discussions with Dr. Kejie Chen at the Jet Propulsion Laboratory (JPL) and Dr. Nan Zang at the Tongji University are very useful. The Multi-GNSS Experiment (MGEX) of the International GNSS Service (IGS) is acknowledged for the precise GNSS products. The research was partly supported by the Research Grants Council of the Hong Kong Special Administrative Region (Project No. PolyU 152043/14E), National Natural Science Foundation of China (Project No. 41374013), and the Research Institute for Sustainable Development of the Hong Kong Polytechnic University.
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Yu, W., Ding, X., Chen, W. et al. Precise point positioning with mixed use of time-differenced and undifferenced carrier phase from multiple GNSS. J Geod 93, 809–818 (2019). https://doi.org/10.1007/s00190-018-1201-8
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DOI: https://doi.org/10.1007/s00190-018-1201-8