Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T04:29:53.007Z Has data issue: false hasContentIssue false

Benefit of Sparse Reference Network in BDS Single Point Positioning with Single-Frequency Measurements

Published online by Cambridge University Press:  23 November 2017

Xiaomin Luo
Affiliation:
(GNSS Research Center, Wuhan University, Luoyu Road 129, Wuhan, Hubei 430079, China)
Yidong Lou*
Affiliation:
(GNSS Research Center, Wuhan University, Luoyu Road 129, Wuhan, Hubei 430079, China)
Xiaopeng Gong
Affiliation:
(GNSS Research Center, Wuhan University, Luoyu Road 129, Wuhan, Hubei 430079, China)
Shengfeng Gu
Affiliation:
(GNSS Research Center, Wuhan University, Luoyu Road 129, Wuhan, Hubei 430079, China)
Biyan Chen
Affiliation:
(Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, 11 Yuk Choi Road, Kowloon, Hong Kong)

Abstract

The current positioning accuracy of the BeiDou Navigation Satellite System (BDS) Single Point Positioning (SPP) with code measurement is in the order of several metres due to systematic errors. To further reduce the systematic errors in SPP, this contribution develops a new strategy to BDS SPP with a sparse reference network, named Augmented SPP (A-SPP). In this method, the Combined Residual Errors (CRE) products of BDS B1I measurement are integrated with three optional base stations that are close to the rover station. Based on the Satellite Elevation Angle Weighted (SEAW) average technique, the code residual errors of each BDS satellite observed by the rover station can be acquired epoch-by-epoch. Finally, the corrected code observations for the rover station can be utilised to achieve an A-SPP solution. The validation of this method is confirmed by both static and kinematic tests. Results clearly show that the accuracies of the A-SPP solution for horizontal and vertical directions are better than 0·5 m and 1·0 m. This study suggests that the proposed A-SPP solution is a good option for single-frequency GNSS users to improve their positioning performance.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Cai, C., Pan, L. and Gao, Y. (2014). A Precise Weighting Approach with Application to Combined L1/B1 GPS/BeiDou Positioning. The Journal of Navigation, 67(5), 911925.Google Scholar
Chiang, K.W., Noureldin, A. and El-Sheimy, N. (2003). Multisensor Integration Using Neuron Computing for Land-Vehicle Navigation. GPS Solutions, 6(4), 209218.Google Scholar
Choi, B.K., Cho, C.H., Cho, J.H. and Lee, S.J. (2015). Multi-GNSS Standard Point Positioning Using GPS, GLONASS, BeiDou and QZSS Measurements Recorded at MKPO Reference Station in South Korea. Journal of Positioning, Navigation, and Timing, 4(4), 205211.Google Scholar
CSNO. (2016). BeiDou Navigation Satellite System Signal in Space Interface Control Document: Open Service Signal. Version 2·1, China Satellite Navigation Office.Google Scholar
Gu, S., Lou, Y., Shi, C. and Liu, J. (2015). BeiDou Phase Bias Estimation and Its Application in Precise Point Positioning with Triple-Frequency Observable. Journal of Geodesy, 89(10), 979-992.Google Scholar
Guo, F., Zhang, X. and Wang, J. (2015). Timing Group Delay and Differential Code Bias Corrections for BeiDou Positioning. Journal of Geodesy, 89(5), 427445.Google Scholar
Hopfield, H.S. (1971). Tropospheric Effect on Electromagnetically Measured Range: Prediction from Surface Weather Data. Radio Science, 6(3), 357367.CrossRefGoogle Scholar
Janes, H.W., Langley, R.B. and Newby, S.P. (1991). Analysis of Tropospheric Delay Prediction Models: Comparisons with Ray-Tracing and Implications for GPS Relative Positioning. Bulletin Géodésique, 65(3), 151161.CrossRefGoogle Scholar
Jiang, W., Xi, R., Chen, H. and Xiao, Y. (2017). Accuracy Analysis of Continuous Deformation Monitoring Using BeiDou Navigation Satellite System at Middle and High Latitudes in China. Advances in Space Research, 59(3), 843857.Google Scholar
Jin, S.G., Jin, R. and Li, D. (2016). Assessment of BeiDou Differential Code Bias Variations from Multi-GNSS Network Observations. Annales Geophysicae, 34(2), 259269.CrossRefGoogle Scholar
King, M. and Aoki, S. (2003). Tidal Observations on Floating Ice Using a Single GPS Receiver. Geophysical Research Letters, 30(3), 1138.Google Scholar
Klobuchar, J.A. (1987). Ionospheric Time-Delay Algorithm for Single-Frequency GPS Users. IEEE Transactions on Aerospace and Electronic Systems, 23(3), 325331.CrossRefGoogle Scholar
Kravchenko, A. and Bullock, D.G. (1999). A Comparative Study of Interpolation Methods for Mapping Soil Properties. Agronomy Journal, 91(3), 393400.Google Scholar
Kremer, G.T., Kalafus, R.M., Loomis, P.V.W. and Reynolds, J.C. (1990). The Effect of Selective Availability on Differential GPS Corrections. Navigation, 37(1), 3952.Google Scholar
Le, A.Q. and Tiberius, C. (2007). Single-Frequency Precise Point Positioning with Optimal Filtering. GPS Solutions, 11(1), 6169.Google Scholar
Lee, Y.C. (1986). Analysis of Range and Position Comparison Methods as a Means to Provide GPS Integrity in the User Receiver. Global Positioning System: Papers Published in NAVIGATION, The Institute of Navigation, Fairfax, Virginia, 5, 519.Google Scholar
Liu, H., Zhang, R.F., Liu, J.N. and Zhang, M. (2016). Time Synchronization in Communication Networks Based on the Beidou Foundation Enhancement System. Science China Technological Sciences, 59(1), 915.Google Scholar
Liu, J. and Ge, M. (2003). PANDA Software and Its Preliminary Result of Positioning and Orbit Determination. Wuhan University Journal of Nature Sciences, 8(2), 603609.Google Scholar
Luo, X. (2013). GPS Stochastic Modelling: Signal Quality measures and ARMA Processes. Springer, Berlin.Google Scholar
Montenbruck, O., Hauschild, A., Steigenberger, P., Hugentobler, U., Teunissen, P. and Nakamura, S. (2013). Initial Assessment of the COMPASS/BeiDou-2 Regional Navigation Satellite System. GPS Solutions, 17(2), 211222.Google Scholar
Montenbruck, O., Steigenberger, P. and Hauschild, A. (2015). Broadcast Versus Precise Ephemerides: A Multi-GNSS Perspective. GPS Solutions, 19(2), 321333.CrossRefGoogle Scholar
Odolinski, R. and Teunissen, P.J.G. (2016). Single-Frequency, Dual-GNSS Versus Dual-Frequency, Single-GNSS: A Low-Cost and High-Grade Receivers GPS-BDS RTK Analysis. Journal of Geodesy, 90(11), 12551278.Google Scholar
Orus-Perez, R. (2017). Ionospheric Error Contribution to GNSS Single-Frequency Navigation at the 2014 Solar Maximum. Journal of Geodesy, 91(4), 397407.Google Scholar
Øvstedal, O. (2002). Absolute Positioning with Single-Frequency GPS Receivers. GPS Solutions, 5(4), 3344.CrossRefGoogle Scholar
Pan, L., Cai, C., Santerre, R. and Zhang, X. (2016). Performance Evaluation of Single-Frequency Point Positioning with GPS, GLONASS, BeiDou and Galileo. Survey Review, 49(354), 197205.CrossRefGoogle Scholar
Santerre, R., Pan, L., Cai, C. and Zhu, J. (2014). Single Point Positioning Using GPS, GLONASS and BeiDou Satellites. Positioning, 5, 107114.Google Scholar
Satirapod, C., Rizos, C. and Wang, J. (2001). GPS Single Point Positioning with SA Off: How Accurate Can We Get? Survey Review, 36(282), 255262.CrossRefGoogle Scholar
Shi, C., Zhao, Q., Geng, J., Lou, Y., Ge, M. and Liu, J. (2008). Recent Development of PANDA Software in GNSS Data Processing. In Proceedings of the Society of Photographic Instrumentation Engineers 7285, International Conference on Earth Observation Data Processing and Analysis (ICEODPA), 72851S, Wuhan, China, 28 December 2008.CrossRefGoogle Scholar
Shi, C., Zhao, Q., Hu, Z. and Liu, J. (2013). Precise Relative Positioning Using Real Tracking Data from COMPASS GEO and IGSO Satellites. GPS Solutions, 17(1), 103119.CrossRefGoogle Scholar
Shi, C., Zhao, Q.L., Li, M., Tang, W.M., Hu, Z.G., Lou, Y.D., Zhang, H.P., Niu, X.J. and Liu, J.N. (2012). Precise Orbit Determination of Beidou Satellites with Precise Positioning. Science China Earth Sciences, 55(7), 10791086.CrossRefGoogle Scholar
Steigenberger, P. and Montenbruck, O. (2017). Galileo Status: Orbits, Clocks, and Positioning. GPS Solutions, 21(2), 319331.Google Scholar
Wang, N., Yuan, Y., Li, Z. and Huo, X. (2016). Improvement of Klobuchar Model for GNSS Single-Frequency Ionospheric Delay Corrections. Advances in Space Research, 57(7), 15551569.Google Scholar
Wanninger, L. and Beer, S. (2015). BeiDou Satellite-Induced Code Pseudorange Variations: Diagnosis and Therapy. GPS Solutions, 19(4), 639648.Google Scholar
Xing, N., Su, R.R., Zhou, J.H., Hu, X.G., Gong, X.Q., Liu, L., He, F., Guo, R., Ren, H., Hu, G.M. and Zhang, L. (2013). Analysis of RDSS Positioning Accuracy Based on RNSS Wide Area Differential Technique. Science China Physics, Mechanics and Astronomy, 56(10), 19952001.Google Scholar
Xu, G. (2007). GPS: Theory, Algorithms and Application. 2nd edn. Springer, Berlin.Google Scholar
Yang, Y.X., Li, J.L., Wang, A.B., Xu, J.Y., He, H.B., Guo, H.R., Shen, J.F. and Dai, X. (2014). Preliminary Assessment of the Navigation and Positioning Performance of BeiDou Regional Navigation Satellite System. Science China Earth Sciences, 57(1), 144152.Google Scholar
Zumberge, J.F., Heftin, M.B., Jefferson, D.C., Watkins, M.M. and Webb, F.H. (1997). Precise Point Positioning for the Efficient and Robust Analysis of GPS Data from Large Networks. Journal of Geophysical Research: Solid Earth, 102(B3), 50055017.Google Scholar