Models and performance of SBAS and PPP of BDS

Junping Chen1, Yize Zhang1, Chao Yu1, Ahao Wang2, Ziyuan Song1, Ji Zhou3
1Shanghai Astronomical Observatory, Chinese Academy of Sciences, Beijing, China
2College of Geoscience and Surveying Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China
3Beijing Satellite Navigation Center, Beijing, China

Tóm tắt

AbstractSatellite Based Augmentation System (SBAS) is one of the services provided by the BeiDou Navigation Satellite System (BDS). It broadcasts four types of differential corrections to improve user application performance. These corrections include the State Space Representation (SSR) based satellite orbit/clock corrections and ionospheric grid corrections, and the Observation Space Representation (OSR) based partition comprehensive corrections. The algorithms generating these SBAS corrections are not introduced in previous researches, and the user SBAS positioning performance with the contribution of BDS-3 has not been evaluated. In this paper, we present the BDS SBAS algorithms for these differential corrections in detail. Four types of Precise Point Positioning (PPP) function models for BDS Dual-Frequency (DF) and Single-Frequency (SF) users using the OSR and SSR parameters are also proposed. One week of data in 2020 is collected at 20 reference stations including the observations of both BeiDou-2 Navigation Satellite System (BDS-2) and BeiDou-3 Navigation Satellite System (BDS-3) satellites, and the PPP under various scenarios are performed using all the datasets and the BDS SBAS broadcast corrections. The results show that the performance of BDS-2/BDS-3 combination is superior to that of BDS-2 only constellation. The positioning errors in Root Mean Square (RMS) for the static DF PPP are better than 8 cm/15 cm in horizontal/vertical directions, while for the static SF PPP are 11 cm/24 cm. In the scenarios of simulated kinematic PPP, three Dimension (3D) positioning errors can reach 0.5 m in less than 10 min for the DF PPP and 30 min for the SF PPP, and the RMSs of the DF and SF PPP are better than 17 cm/21 cm and 20 cm/32 cm in horizontal/vertical directions. In a real-time single- and dual-frequency kinematic positioning test, the positioning errors of all three components can reach 0.5 m within 30 min, and the positioning accuracy after solution convergence in the N, E and U directions is better than 0.3 m.

Từ khóa


Tài liệu tham khảo

Averin, S. V., Dvorkin, V. V., & Karutin, S. N. (2007). Russian system for differential correction and monitoring: A concept, present status, and prospects for future. In Proceedings of the 20th international technical meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007), Fort Worth, TX (pp. 3037–3044) (2007).

Chang, Z., Hu, X., Guo, R., Cao, Y., Wu, X., Wang, A., & Dong, E. (2015). Comparison between CNMC and hatch filter & its precision analysis for BDS precise relative positioning. Scientia Sinica Physica, Mechanica & Astronomica, 45(7), 079508. in Chinese.

Chen, J., Wang, A., Zhang, Y., Zhou, J., & Yu, C. (2020a). BDS satellite-based augmentation service correction parameters and performance assessment. Remote Sensing, 12(5), 766.

Chen, J., Wang, J., Wang, A., Ding, J., & Zhang, Y. (2020b). SHAtropE—A regional gridded ZTD model for China and the surrounding areas. Remote Sensing, 12(1), 165.

Chen, J., Yang, S., Zhou, J., Cao, Y., Zhang, Y., Gong, X., & Wang, J. (2017). A pseudo-range and phase combined SBAS differential correction model. Acta Geodaetica Et Cartographica Sinica, 46(5), 537–546. in Chinese.

Chen, J., Zhang, Y., Zhou, J., Yang, S., Hu, Y., & Chen, Q. (2018). Zone correction: A SBAS differential correction model for BDS decimeter-level positioning. Acta Geodaetica Et Cartographica Sinica, 47(9), 1161–1170. (in Chinese).

CSNO. (2012). BeiDou navigation satellite system signal in space interface control document-open service signal B1I (version 1.0). China Satellite Navigation Office.

CSNO. (2020). BeiDou navigation satellite system signal in space interface control document-Precise Point Positioning Service Signal PPP-B2b (Version 1.0). China Satellite Navigation Office.

El-Mowafy, A., Cheung, N., & Rubinov, E. (2020). First results of the second generation SBAS in Australian Urban and Suburban Road Environments. Journal of Spatial Science, 65(1), 99–121.

Gao, Y., & Shen, X. (2002). A new method of carrier phase based precise point positioning. Journal of the Institute of Navigation, 49(2), 109–116.

Gao, Z., Ge, M., Shen, W., Zhang, H., & Niu, X. (2017). Ionospheric and receiver DCB-constrained multi-GNSS single-frequency PPP integrated with MEMS inertial measurements. Journal of Geodesy, 91(11), 1351–1366.

Ge, M., Chen, J., Dousa, J., et al. (2012). (2012) A computationally efficient approach for estimating high-rate satellite clock corrections in realtime. GPS Solutions, 16(1), 9–17.

Gerard, P., & Luzum, B. (2010). IERS conventions. IERS Technical 2010 Note 36, Verlag des Bundesamts fur Kartographie und Geodasie: Frankfurt am Main, Germany.

Heßelbarth, A., & Wanninger, L. (2013). SBAS orbit and satellite clock corrections for precise point positioning. GPS Solutions, 17(4), 465–473.

Li, L., Jia, C., Zhao, L., Cheng, J., Liu, J., & Ding, J. (2016). Real-time single frequency precise point positioning using SBAS corrections. Sensors, 16(8), 1261.

Nakaitani, K. (2009). MSAS operation (in Japanese). Japan Institute of Navigation, 170, 32–35.

Rho, H., & Langley, R. B. (2007). The usefulness of WADGPS satellite orbit and clock corrections for dual frequency PPP. In Proceedings of the 20th international technical meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007), Fort Worth, TX, USA, 25–28 September 2007.

Ventura-Traveset, J., Gauthier, L., Toran, F., Michel, P., Solari, G., Salabert, F., Flament, D., Auroy, J., & Beaugnon, D. (2006). The European EGNOS project: Mission, programme and system. In: J. Ventura-Traveset, & D. Flament (Eds), EGNOS—The European geostationary navigation overlay system: A cornerstone of Galileo. European Space Agency SP-1303 (pp. 3–19).

GPS WAAS PS (2008). Global positioning system wide area augmentation system (WAAS) performance standard, 1st edn. Federal Aviation Administration (FAA).

Wang, A., Chen, J., Zhang, Y., Meng, L., & Wang, J. (2019). Performance of selected ionospheric models in multi-global navigation satellite system single-frequency positioning over China. Remote Sensing, 11(17), 2070.

Wang, B., Zhou, J., Wang, B., Cong, D., & Zhang, H. (2020). Influence of the GEO satellite orbit error fluctuation correction on the BDS WADS zone correction. Satell Navigation, 1, 18.

Yang, Y. X., Mao, Y., & Sun, B. J. (2020). Basic performance and future developments of BeiDou global navigation satellite system. Satellite Navigation, 1, 1.

Zhang, Y., Chen, J., Yang, S., & Chen, Q. (2017). Initial assessment of BDS zone correction. In China Satellite Navigation Conference (CSNC) 2017 Proceedings: Lecture notes in electrical engineering, Shanghai (Vol. 438, pp 271–282).

Zhang, Y., Kubo, N., Chen, J., Wang, H., & Wang, J. (2019). Initial positioning assessment of BDS new satellite and new signal. Remote Sensing, 11(11), 1320.

Zhou, J. (2017). BDS SIS performance improvement for legacy PNT and differential service. Keynote presentation at the China Satellite Navigation Conference (CSNC) 2017, Shanghai.

Zhou, F., Dong, D., Li, P., Li, X., & Schuh, H. (2019). Influence of stochastic modeling for inter-system biases on multi-GNSS undifferenced and uncombined precise point positioning. GPS Solution, 23(59), 1–13.

Zumberge, J., Heflin, M., Jefferson, D., Watkins, M., & Webb, F. (1997). Precise point positioning for the efficient and robust analysis of GPS data from large network. Journal of Geophysical Research, 102(B3), 5005–5017.