Review and principles of PPP-RTK methods

Journal of Geodesy

Volumn 89, Issue 3, 2015, Pages 217-240

  Teunissen, P J G ^a,b   Khodabandeh, A ^a  

^a CURTIN UNIVERSITY   (Australia)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Ambiguity dilution of precision (ADOP); Common clock (CC) model; Decoupled satellite clock (DSC) model; Distinct clock (DC) model; Fractional cycle bias (FCB) model; Geometry based (GB) model; Geometry free (GF) model; Integer ambiguity resolution; Integer recovery clock (IRC) model; PPP RTK; S bases

Indexed keywords

EID: 84925539879     PISSN: 09497714     EISSN: 14321394     Source Type: Journal    
DOI: 10.1007/s00190-014-0771-3     Document Type: Article

References (58)

1. Allison T (1991) Multi-observable processing techniques for precise relative positioning. In: Proceedings ION GPS-91. Albuquerque, New Mexico, 11–13 September, pp 715–725
2. Baarda W (1973) S-transformations and criterion matrices. Tech. rep., Netherlands Geodetic Commission, Publ. on Geodesy, New Series, vol 5(1), Delft
3. Bertiger W, Desai SD, Haines B, Harvey N, Moore AW, Owen S, Weiss JP (2010) Single receiver phase ambiguity resolution with GPS data. J Geod 84(5):327–337
4. Beutler G, Bock H, Dach R, Fridez P, Gade A, Hugentobler U, Jaggi A, Meindl M, Mervart L, Prange L, Schaer S, Springer T, Urschl P, Walser P (2007) Bernese GPS software version 5.0. Astron. Inst., Univ. of Bern, Bern, Switzerland
5. Bisnath S, Collins P (2012) Recent developments in precise point positioning. Geomatica 66(2):103–111
6. Bisnath S, Gao Y (2008) Current state of precise point positioning and future prospects and limitations. In: Observing our changing earth, IAG Symp 133:615–623
7. Collins P (2008) Isolating and estimating undifferenced GPS integer ambiguities. In: Proceedings ION NTM, pp 720–732
8. Collins P, Lahaye F, Heroux P, Bisnath S (2008) Precise point positioning with ambiguity resolution using the decoupled clock model. In: Proceedings of the 21st international technical meeting of the satellite division of the Institute of Navigation (ION GNSS 2008), pp 1315–1322
9. de Jonge PJ (1998) A processing strategy for the application of the GPS in networks. PhD thesis, Delft University of Technology, Publication on Geodesy, 46, Netherlands Geodetic Commission, Delft
10. 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(7):389–399
11. Geng J (2011) Rapid integer ambiguity resolution in GPS precise point positioning. PhD thesis, University of Nottingham, UK
12. Geng J, Bock Y (2013) Triple-frequency GPS precise point positioning with rapid ambiguity resolution. J Geod 87(5):449–460
13. Geng J, Meng X, Dodson A, Teferle F (2010) Integer ambiguity resolution in precise point positioning: method comparison. J Geod 84(9):569–581
14. Geng J, Teferle FN, Meng X, Dodson AH (2011) Towards PPP-RTK: ambiguity resolution in real-time precise point positioning. Adv Space Res 47(10):1664–1673
15. Geng J, Shi C, Ge M, Dodson AH, Lou Y, Zhao Q, Liu J (2012) Improving the estimation of fractional-cycle biases for ambiguity resolution in precise point positioning. J Geod 86(8):579–589
16. Hernandez-Pajares M, Juan JM, Sanz J, Colombo OL (2000) Application of ionospheric tomography to real-time GPS carrier-phase ambiguities resolution, at scales of 400–1,000 km and with high geomagnetic activity. Geophys Res Lett 27(13):2009–2012
17. Hofmann-Wellenhof B, Lichtenegger H, Wasle E (2008) GNSS: global navigation satellite systems: GPS, Glonass, Galileo, and more. Springer, New York
18. Jonkman N, Teunissen P, Joosten P, Odijk D (2000) GNSS long baseline ambiguity resolution: impact of a third navigation frequency. In: Geodesy Beyond 2000, IAG Symp 121, pp 349–354
19. Khodabandeh A, Teunissen PJG (2014) Single-epoch GNSS array integrity: an analytical study. IAG Symp 142, accepted for publication
20. Kouba J, Heroux P (2001) Precise point positioning using IGS orbit and clock products. GPS solut 5(2):12–28
21. Lannes A, Prieur JL (2013) Calibration of the clock-phase biases of GNSS networks: the closure-ambiguity approach. J Geod 87(8):709–731
22. Lannes A, Teunissen PJG (2011) GNSS algebraic structures. J Geod 85(5):273–290
23. Laurichesse D (2011) The CNES real-time PPP with undifferenced integer ambiguity resolution demonstrator. In: Proceedings of the ION GNSS, pp 654–662
24. Laurichesse D, Mercier F (2007) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP. In: Proceedings of the 20th international technical meeting of the satellite division of the Institute of Navigation (ION GNSS 2007), pp 839–848
25. Laurichesse D, Mercier F, Berthias J, Broca P, Cerri L, CNES F (2009) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP and satellite precise orbit determination. Navigation 56(2):135–149
26. Li T, Wang J, Laurichesse D (2013a) Modeling and quality control for reliable precise point positioning integer ambiguity resolution with GNSS modernization. GPS Solut, pp 1–14
27. Li X, Ge M, Zhang H, Wickert J (2013b) A method for improving uncalibrated phase delay estimation and ambiguity-fixing in real-time precise point positioning. J Geod 87(5):405–416
28. Li X, Ge M, Lu C, Zhang Y, Wang R, Wickert J, Schuh H (2014) High-rate GPS seismology using real-time precise point positioning with ambiguity resolution. Geoscience and remote sensing, IEEE transactions on, pp 1–15. doi:10.1109/TGRS.2013.2295373
29. Loyer S, Perosanz F, Mercier F, Capdeville H, Marty JC (2012) Zero-difference GPS ambiguity resolution at CNES-CLS IGS analysis center. J Geod 86(11):991–1003
30. Mervart L, Lukes Z, Rocken C, Iwabuchi T (2008) Precise point positioning with ambiguity resolution in real-time. In: Proceedings of ION GNSS, pp 397–405
31. Mervart L, Rocken C, Iwabuchi T, Lukes Z, Kanzaki M (2013) Precise point positioning with fast ambiguity resolution-prerequisites, algorithms and performance. In: Proceedings of ION GNSS, pp 1176–1185
32. Odijk D (2002) Fast precise GPS positioning in the presence of ionospheric delays. Ph.D. thesis, Delft University of Technology, Publication on Geodesy, 52, Netherlands, Geodetic Commission, Delft
33. Odijk D, Teunissen PJG (2008) ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models. J Geod 82(8):473–492
34. Odijk D, Teunissen PJG, Zhang B (2012) Single-frequency integer ambiguity resolution enabled GPS precise point positioning. J Survey Eng 138(4):193–202
35. Odijk D, Arora BS, Teunissen PJG (2014a) Predicting the success rate of long-baseline GPS + Galileo (partial) ambiguity resolution. J Navigat 1–17. doi:10.1017/S037346331400006X
36. Odijk D, Teunissen PJG, Khodabandeh A (2014b) Single-frequency PPP-RTK: theory and experimental results. IAG Symp Earth Edge: Sci Sustain Planet 139:571–578
37. Rao CR (1973) Linear statistical inference and its applications, vol 2. Wiley, New Jersey
38. Shi J (2012) Precise point positioning integer ambiguity resolution with decoupled clocks. PhD thesis, University of Calgary, Canada
39. Shi J, Gao Y (2013) A comparison of three PPP integer ambiguity resolution methods. GPS Solut (published online)
40. Teunissen PJG (1985) Generalized inverses, adjustment, the datum problem and S-transformations. In: Grafarend EW, Sanso F (eds) Optimization and design of geodetic networks. Springer, Berlin
41. Teunissen PJG (1995) The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. J Geod 70(1–2):65–82
42. Teunissen PJG (1997a) A canonical theory for short GPS baselines. Part I: the baseline precision. J Geod 71(6):320–336
43. Teunissen PJG (1997b) A canonical theory for short GPS baselines. Part IV: precision versus reliability. J Geod 71(9):513–525
44. Teunissen PJG (1997c) The geometry-free GPS ambiguity search space with a weighted ionosphere. J Geod 71(6):370–383
45. Teunissen PJG (1997d) On the GPS widelane and its decorrelating property. J Geod 71(9):577–587
46. Teunissen PJG (1998) Success probability of integer GPS ambiguity rounding and bootstrapping. J Geod 72(10):606–612
47. Teunissen PJG (1999) An optimality property of the integer least-squares estimator. J Geod 73(11):587–593
48. Teunissen PJG (2000) Adjustment theory: an introduction. Delft University Press, series on Mathematical Geodesy and Positioning
49. Teunissen PJG (2002) The parameter distributions of the integer GPS model. J Geod 76(1):41–48
50. Teunissen PJG (2012) A-PPP: array-aided precise point positioning with global navigation satellite systems. Signal Process IEEE Trans 60(6):2870–2881
51. Teunissen PJG, de Bakker PF (2012) Single-receiver single-channel multi-frequency GNSS integrity: outliers, slips, and ionospheric disturbances. J Geod 1–17
52. Teunissen PJG, Khodabandeh A (2013) BLUE, BLUP and the Kalman filter: some new results. J Geod 87(5):461–473
53. Teunissen PJG, Odijk D, Zhang B (2010) PPP-RTK: results of CORS network-based PPP with integer ambiguity resolution. J Aeronaut, Astronaut Aviat 42(4):223–229
54. Wubbena G (1989) The GPS adjustment software package-GEONAP-concepts and models. In: International geodetic symposium on satellite positioning l, Las Cruces, New Mexico, 13–17 March, pp 452–461
55. Wubbena G, Schmitz M, Bagg A (2005) PPP-RTK: precise point positioning using state-space representation in RTK networks. In: Proceedings of ION GNSS, pp 13–16
56. Zhang B, Teunissen PJG, Odijk D (2011) A novel un-differenced PPP-RTK concept. J Navig 64(S1):S180–S191
57. Zhang X, Li P (2013) Assessment of correct fixing rate for precise point positioning ambiguity resolution on a global scale. J Geod 87(6):579–589
58. 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