Abstract
The performance of RTK (real time kinematic positioning) is much degraded with increasing distance between receivers due to the presence of distance-dependent GPS errors, notably ionosphere and troposphere refraction. In this paper, we investigate the methodology for medium-range kinematic positioning constraint by ionosphere pseudo-observation with elevation-dependent weight. The ionospheric delays of double differenced (DD) observations are treated as pseudo-observations having a priori values and respective weights. This means that the ionospheric delays are modeled as the unknown parameters with prior stochastic information which is expressed as the form of ionospheric pseudo-observations. The weight of ionospheric pseudo-observation is determined according to satellite elevation. Moreover, the relative variation constraint to the DD ionospheric delay between consecutive epochs is also taken into account. A field experiment is conducted to verify and demonstrate the proposed method. The dual frequency GPS data were collected with sampling interval of 1 s in two CORS stations spacing 94.6 km. The results demonstrate that the presented method can provide high-quality DD ionospheric delay estimates instantaneously, which can improve the speed and reliability of the Ambiguity Resolution (AR). Furthermore, medium-range (up to 100 km) RTK solution precision achieves centimeters in all components. The precision of the horizontal component is less than 2 cm, horizontal component is about 3 cm.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Li, B., Feng, Y., Shen, Y., & Wang, C. (2010). Geometry-specified troposphere decorrelation for subcentimeter real-time kinematic solutions over long baselines. Journal of Geophysical Research, 115, B11404. doi:10.1029/2010JB007549.
Wielgosz, P. (2011). Quality assessment of GPS rapid static positioning with weighted ionospheric parameters in generalized least squares. GPS Solutions, 15, 89–99.
Dai, L., Wang, J., Rizos, C., & Han, S. (2003). Predicting atmospheric biases for real-time ambiguity resolution in GPS/GLONASS reference station networks. Journal of Geodesy, 76, 617–628.
Grejner-Brzezinska, D. A., Kashani, I., Wielgosz, P., Smith, D. A., Spencer, P. S. J., Robertson, D. S., et al. (2007). On efficiency and reliability of ambiguity resolution in network-based RTK GPS. Journal Survey Engineering, 133(2), 56–65.
Odijk, D. (2000). Weighting ionospheric corrections to improve fast GPS positioning over medium distances. In: Proceedings of ION GPS-2000 (pp. 1113–1123). Alexandria: Institute of Navigation.
Takasu, T., & Yasuda, A. (2010). Kalman-filter-based integer ambiguity resolution strategy for long-baseline RTK with ionosphere and troposphere estimation. ION NTM 2010.
Teunissen, P. (1997). The geometry-free GPS ambiguity search space with a weighted ionosphere. Journal of Geodesy, 71(6), 370–383.
Horemuz, M., & Sjoberg, L. E. (2002). Rapid GPS ambiguity resolution for short and long baselines. Journal of Geodesy, 76, 381–391.
Wielgosz, P., Kashani, I., & Grejner-Brzezinska, D. A. (2005). Analysis of long-range network RTK during severe ionospheric storm. Journal of Geodesy, 79(9), 524–531.
Li, Y., & Shen, Y. (2011). INS aided ambiguity resolution for GPS/INS integrated kinematic positioning. ION GNSS, 410(1), 645–653.
Hu, G., Abbey, D. A., Castleden, N., Featherstone, W. E., Earls, C., Ovstedal, O., et al. (2005). An approach for instantaneous ambiguity resolution for medium-to long-range multiple reference station networks. GPS Solutions, 9, 1–11.
Goad, C., & Yang, M. (1997). A new approach to precision airborne GPS positioning for photogrammetry. Photogrammetric Engineering Remote Sensing, 63(9), 1067–1077.
Teunissen, P. (1994, April 11–15). A new method for fast carrier phase ambiguity estimation. In: Proceedings of IEEE PLANS (pp. 562–573). Las Vegas, NV: Long & Silverman Publishing.
Acknowledgments
This work is supported by the National Natural Science Funds of China (grant 40874016, 41074018) and partially supported by Kwang-Hua Fund for College of Civil Engineering, Tongji University.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this paper
Cite this paper
Li, Y., Shen, Y. (2012). Medium-Range Kinematic Positioning Constraint by Ionospheric Pseudo-Observation with Elevation-Dependent Weight. In: Sun, J., Liu, J., Yang, Y., Fan, S. (eds) China Satellite Navigation Conference (CSNC) 2012 Proceedings. Lecture Notes in Electrical Engineering, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29187-6_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-29187-6_38
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29186-9
Online ISBN: 978-3-642-29187-6
eBook Packages: EngineeringEngineering (R0)