Case Studies
Jun 17, 2020

Can Long-Range Single-Baseline RTK Provide Service in Shanghai Comparable to Network RTK?

Publication: Journal of Surveying Engineering
Volume 146, Issue 4

Abstract

Traditionally, GPS real-time kinematic (RTK) technique can provide precise positioning for short baselines, and network-based RTK (NRTK) is much more effective than the single-baseline RTK (SRTK) stemming from its capability of precise positioning over the whole area covered by reference stations. However, NRTK needs to build and maintain the infrastructure of reference stations. With multi–global navigation satellite system (GNSS) multifrequency signals becoming available, one can extend the service radius of SRTK to a few tens to even a hundred kilometers. This paper investigates whether one can realize the precise positioning with SRTK instead of NRTK in a medium-sized city located in the midlatitude region, like Shanghai. Different positioning models of SRTK are introduced and compared to those of NRTK. The variety of experiments were designed with triple-frequency BeiDou data and dual-frequency GPS data. The results show that the positioning results of SRTK and NRTK are comparable, with both having centimeter-level accuracy except for the relatively longer convergence time of ambiguity fixing for SRTK when the baseline is longer than 50 km. It is therefore expected that long-range SRTK is able to provide positioning service comparable to NRTK in most cities like Shanghai, of medium size and at midlatitude. Such a research finding is promising for reducing the cost of establishing and maintaining infrastructure used in NRTK.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research was funded by the National Natural Science Foundation of China (41874030, 41622401, and 41574023), the Scientific and Technological Innovation Plan from Shanghai Science and Technology Committee (18511101801 and 17511109501), and the Fundamental Research Funds for the Central Universities.

References

Brack, A. 2017. “Reliable GPS + BDS RTK positioning with partial ambiguity resolution.” GPS Solutions 21 (3): 1083–1092. https://doi.org/10.1007/s10291-016-0594-1.
Cocard, M., S. Bourgon, O. Kamali, and P. Collins. 2008. “A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS.” J. Geod. 82 (9): 555–564. https://doi.org/10.1007/s00190-007-0201-x.
Collins, J. P., and R. B. Langley. 1997. A tropospheric delay model for the user of the wide area augmentation system.. Fredericton, Canada: Univ. of New Brunswick.
Ding, X., and R. Coleman. 1996. “Multiple outlier detection by evaluating redundancy contributions of observations.” J. Geod. 70 (8): 489–498. https://doi.org/10.1007/BF00863621.
Fotopoulos, G., and M. E. Cannon. 2001. “An overview of multi-reference station methods for cm-level positioning.” GPS Solutions 4 (3): 1–10. https://doi.org/10.1007/PL00012849.
Gao, W., C. Gao, S. Pan, G. Yu, and H. Hu. 2017. “Method and assessment of BDS triple-frequency ambiguity resolution for long-baseline network RTK.” Adv. Space Res. 60 (12): 2520–2532. https://doi.org/10.1016/j.asr.2017.01.029.
Grejner-Brzezinska, D. A., N. Arslan, P. Wielgosz, and C.-K. Hong. 2009. “Network calibration for unfavorable reference-rover geometry in network-based RTK: Ohio CORS case study.” J. Surv. Eng. 135 (3): 90–100. https://doi.org/10.1061/(ASCE)0733-9453(2009)135:3(90).
Grejner-Brzezinska, D. A., R. Da, and C. Toth. 1998. “GPS error modeling and OTF ambiguity resolution for high-accuracy GPS/INS integrated system.” J. Geod. 72 (11): 626–638. https://doi.org/10.1007/s001900050202.
Grejner-Brzezinska, D. A., I. Kashani, P. Wielgosz, D. A. Smith, P. S. J. Spencer, D. S. Robertson, and G. L. Mader. 2007. “Efficiency and reliability of ambiguity resolution in network-based real-time kinematic GPS.” J. Surv. Eng. 133 (2): 56–65. https://doi.org/10.1061/(ASCE)0733-9453(2007)133:2(56).
Janssen, V. 2009. “A comparison of the VRS and MAC principles for network RTK.” In Proc., Int. Global Navigation Satellite Systems Society Symp. Hobart, Australia: Univ. of Tasmania.
Janssen, V., and J. Haasdyk. 2011. “Assessment of network RTK performance using CORSnet-NSW.” In Proc., Int. Global Navigation Satellite Systems Society Symp. Hobart, Australia: Univ. of Tasmania.
Li, B. 2016. “Stochastic modeling of triple-frequency BeiDou signals: Estimation, assessment and impact analysis.” J. Geod. 90 (7): 593–610. https://doi.org/10.1007/s00190-016-0896-7.
Li, B., Y. Feng, W. Gao, and Z. Li. 2015a. “Real-time kinematic positioning over long baselines using triple-frequency BeiDou signals.” IEEE Trans. Aerosp. Electron. Syst. 51 (4): 3254–3269. https://doi.org/10.1109/TAES.2015.140643.
Li, B., Y. Feng, and Y. Shen. 2010a. “Three carrier ambiguity resolution: Distance-independent performance demonstrated using semi-generated triple frequency GPS signals.” GPS Solutions 14 (2): 177–184. https://doi.org/10.1007/s10291-009-0131-6.
Li, B., Y. Feng, Y. Shen, and C. Wang. 2010b. “Geometry-specified troposphere decorrelation for subcentimeter real-time kinematic solutions over long baselines.” J. Geophys. Res. 115 (B11): 1978–2012. https://doi.org/10.1029/2010JB007549.
Li, B., Z. Li, Z. Zhang, and Y. Tan. 2017. “ERTK: Extra-wide-lane RTK of triple-frequency GNSS signals.” J. Geod. 91 (9): 1031–1047. https://doi.org/10.1007/s00190-017-1006-1.
Li, B., L. Lou, and Y. Shen. 2016. “GNSS elevation-dependent stochastic modeling and its impacts on the statistic testing.” J. Surv. Eng. 142 (2): 04015012. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000156.
Li, B., Y. Shen, Y. Feng, W. Gao, and L. Yang. 2014a. “GNSS ambiguity resolution with controllable failure rate for long baseline network RTK.” J. Geod. 88 (2): 99–112. https://doi.org/10.1007/s00190-013-0670-z.
Li, X., M. Ge, X. Dai, X. Ren, M. Fritsche, J. Wickert, and H. Schuh. 2015b. “Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo.” J. Geod. 89 (6): 607–635. https://doi.org/10.1007/s00190-015-0802-8.
Li, X., M. Ge, J. Douša, and J. Wickert. 2014b. “Real-time precise point positioning regional augmentation for large GPS reference networks.” GPS Solutions 18 (1): 61–71. https://doi.org/10.1007/s10291-013-0310-3.
Mohino, E., M. Gende, and C. Brunini. 2007. “Improving long baseline (100–300 km) differential GPS positioning applying ionospheric corrections derived from multiple reference stations.” J. Surv. Eng. 133 (1): 1–5. https://doi.org/10.1061/(ASCE)0733-9453(2007)133:1(1).
Niell, A. E. 1996. “Global mapping functions for the atmosphere delay at radio wavelengths.” J. Geophys. Res. Solid Earth 101 (B2): 3227–3246. https://doi.org/10.1029/95JB03048.
Odijk, D., and P. J. G. Teunissen. 2008. “ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models.” J. Geod. 82 (8): 473–492. https://doi.org/10.1007/s00190-007-0197-2.
Odolinski, R., P. J. G. Teunissen, and D. Odijk. 2015. “Combined GPS + BDS for short to long baseline RTK positioning.” Meas. Sci. Technol. 26 (4): 045801. https://doi.org/10.1088/0957-0233/26/4/045801.
Rizos, C. 2002. “Network RTK research and implementation: A geodetic perspective.” J. Global Positioning Syst. 1 (2): 144–150. https://doi.org/10.5081/jgps.1.2.144.
Takac, F., and O. Zelzer. 2008. “The relationship between network RTK solutions MAC, VRS, PRS, FKP and i-MAX.” In Proc., 21st Int. ION Meeting, 348–355. Manassas, VA: Institute of Navigation.
Tang, W., C. Deng, C. Shi, and J. Liu. 2014. “Triple-frequency carrier ambiguity resolution for Beidou navigation satellite system.” GPS Solutions 18 (3): 335–344. https://doi.org/10.1007/s10291-013-0333-9.
Teunissen, P. J. G. 1993. “Least squares estimation of the integer GPS ambiguities.” In Proc., IAG General Meeting, Series No. 6. Delft, Netherlands: Delft Univ. Of Technology.
Teunissen, P. J. G. 1998. “Success probability of integer GPS ambiguity rounding and bootstrapping.” J. Geod. 72 (10): 606–612. https://doi.org/10.1007/s001900050199.
Teunissen, P. J. G. 1999. “An optimality property of the integer least-squares estimator.” J. Geod. 73 (11): 587–593. https://doi.org/10.1007/s001900050269.
Teunissen, P. J. G. 2001. “Integer estimation in the presence of biases.” J. Geod. 75 (7–8): 399–407.
Teunissen, P. J. G. 2003. “An invariant upper bound for the GNSS bootstrapped ambiguity success rate.” J. Global Positioning Syst. 2 (1): 13–17. https://doi.org/10.5081/jgps.2.1.13.
Teunissen, P. J. G., and A. Kleusberg. 1998. GPS for geodesy. 2nd ed. Berlin: Springer.
Teunissen, P. J. G., and D. Odijk. 1997. “Ambiguity dilution of precision: Definition, properties and application.” In Proc., Int. Technical Meeting of the Satellite Division of the Institute of Navigation, 891–900. Manassas, VA: Institute of Navigation.
Verhagen, S. 2005. “On the reliability of integer ambiguity resolution.” Navigation 52 (2): 99–110. https://doi.org/10.1002/j.2161-4296.2005.tb01736.x.
Verhagen, S., B. Li, and P. J. G. Teunissen. 2013. “Ps-LAMBDA: Ambiguity success rate evaluation software for interferometric applications.” Comput. Geosci. 54 (Apr): 361–376. https://doi.org/10.1016/j.cageo.2013.01.014.
Vollath, U., A. Buecherl, H. Landau, C. Pagels, and B. Wagner. 2000. “Multi-base RTK positioning using virtual reference stations.” In Proc., 13th Int. Technical Meeting of the Satellite Divison of the Institute of Navigation, 123–131. Manassas, VA: Institute of Navigation.
Vollath, U., A. Deking, H. Landau, and C. Pagels. 2001. “Long range RTK positioning using virtual reference station.” In Proc., Symp. on Kinematic Systems in Geodesy, Geomatics and Navigation, 1143–1147. Banff, Canada: Univ. of Calgary.
Vollath, U., H. Landau, X. Chen, K. Doucet, and C. Pagels. 2002. “Network RTK versus single base RTK–Understanding the error characteristics.” In Proc., 15th ION Int. Meeting, 2774–2781. Manassas, VA: Institute of Navigation.
Wang, C., Y. Feng, M. Higgins, and B. Cowie. 2010. “Assessment of commercial network RTK user positioning performance over long inter-station distances.” J. Global Positioning Syst. 9 (1): 78–89. https://doi.org/10.5081/jgps.9.1.78.
Wang, M., and B. Li. 2016. “Evaluation of empirical tropospheric models using satellite-tracking tropospheric wet delays with water vapor radiometer at Tongji, China.” Sensors 16 (2): 186. https://doi.org/10.3390/s16020186.
Wanninger, L. 2002. “Virtual reference stations for centimeter-level kinematic positioning.” In Proc., 15th ION Int. Meeting, 1400–1407. Manassas, VA: Institute of Navigation.
Wielgosz, P., I. Kashani, and D. Grejner-Brzezinska. 2005. “Analysis of long-range network RTK during a severe ionospheric storm.” J. Geod. 79 (9): 524–531. https://doi.org/10.1007/s00190-005-0003-y.
Wübbena, G., A. Bagge, G. Seeber, V. Böder, and P. Hankemeier. 1996. “Reducing distance dependent errors for real-time precise DGPS applications by establishing reference station networks.” Proc., ION Int. Meeting, 1845–1852. Manassas, VA: Institute of Navigation.
Zhang, Z., B. Li, Y. Shen, Y. Gao, and M. Wang. 2018. “Site-specific unmodeled error mitigation for GNSS positioning in urban environments using a real-time adaptive weighting model.” Remote Sens. 10 (7): 1157. https://doi.org/10.3390/rs10071157.
Zou, X., Y. Wang, C. Deng, W. Tang, Z. Li, J. Cui, C. Wang, and C. Shi. 2018. “Instantaneous BDS + GPS undifferenced NRTK positioning with dynamic atmospheric constraints.” GPS Solutions 22 (1): 17. https://doi.org/10.1007/s10291-017-0668-8.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 146Issue 4November 2020

History

Received: Jan 8, 2019
Accepted: Mar 6, 2020
Published online: Jun 17, 2020
Published in print: Nov 1, 2020
Discussion open until: Nov 17, 2020

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Authors

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Zhiteng Zhang [email protected]
Ph.D. Candidate, College of Surveying and Geo-Informatics, Tongji Univ., Shanghai 200092, People’s Republic of China. Email: [email protected]
Professor, College of Surveying and Geo-Informatics, Tongji Univ., Shanghai 200092, People’s Republic of China (corresponding author). ORCID: https://orcid.org/0000-0002-9553-4106. Email: [email protected]
Junping Zou [email protected]
Ph.D. Candidate, College of Surveying and Geo-Informatics, Tongji Univ., Shanghai 200092, People’s Republic of China. Email: [email protected]

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