Abstract
As is true of GPS, multipath disturbance is a limiting factor for further improvements in BDS high precision positioning applications. We investigate the characteristics of multipath errors and multipath mitigation for BDS geostationary earth orbit, inclined geosynchronous orbit and medium earth orbit satellites according to their orbital repeat periods. We argue that multipath errors can be mitigated using models extracted from a previous period since there is a strong agreement correlation in the multipath errors between subsequent periods. A multipath mitigation method, which is based on observation domain filtering and considers the repeat period of every satellite independently, was applied. The application of the proposed method shows that BDS positioning precision was improved by about 56, 48, and 48 % to 1.90, 1.28, and 4.37 mm in the north, east, and up components. After resolving BDS carrier phase multipath error, the positioning precision of the combined GPS&BDS with multipath correction reached to 0.95, 0.92, and 2.31 mm in the north, east, and up components that were more precise than either the GPS or BDS system alone. The more accurate and reliable precision obtained from the combined system after applying multipath mitigation method, would greatly contribute to high-performance precision deformation monitoring and seismological studies.
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References
Agnew DC, Larson KM (2007) Finding the repeat times of the GPS constellation. GPS Solut 11(1):71–76
Alber C, Ware R, Rocken C, Braun J (2000) Obtaining single path phase delays from GPS double differences. Geophys Res Lett 27(17):2661–2664
Axelrad P, Larson K, Jones B (2005) Use of the correct satellite repeat period to characterize and reduce site-specific multipath errors. In: Proceedings of the ION GNSS 2005, Institute of Navigation, Long Beach, CA, USA, 13–16 September, pp 2638–2648
Bock Y, Nikolaidis R, de Jonge PJ, Bevis M (2000) Instantaneous geodetic positioning at medium distances with the global positioning system. J Geophys Res 105:28223–28254. doi:10.1029/2000JB900268
Choi K, Bilich A, Larson KM, Axelrad P (2004) Modified sidereal filtering: implications for high-rate GPS positioning. Geophys Res Lett 31(22):L22608. doi:10.1029/2004GL021621
Comp CJ, Axelrad P (1998) Adaptive SNR-based carrier phase multipath mitigation technique. Aerosp Electron Syst IEEE Trans 34(1):264–276
Dai W, Huang D, Cai C (2013) Multipath mitigation via component analysis methods for GPS dynamic deformation monitoring. GPS Solut 18(3):417–428. doi:10.1007/s10291-013-0341-9
Fuhrmann T, Luo X, Knöpfler A et al (2014) Generating statistically robust multipath stacking maps using congruent cells. GPS Solut. doi:10.1007/s10291-014-0367-7 online first
Ge L, Han S, Rizos C (2000) Multipath mitigation of continuous GPS measurements using an adaptive filter. GPS Solut 4(2):19–30
Genrich J, Bock Y (1992) Rapid resolution of crustal motion at short ranges with the global positioning system. J Geophys Res 97(B3):3261–3269. doi:10.1029/91JB02997
Larson KM, Bilich A, Axelrad P (2007) Improving the precision of high-rate GPS. J Geophys Res 112:B05422. doi:10.1029/2006JB004367
Lau L (2012) Comparison of measurement and position domain multipath filtering techniques with the repeatable GPS orbits for static antennas. Surv Rev 44(324):9–16. doi:10.1179/1752270611Y.0000000003
Lau L, Cross P (2007) Development and testing of a new ray-tracing approach to GNSS carrrier-phase multipath modelling. J Geodesy 81(11):713–732
Lau L, Mok E (1999) Improvement of GPS relative positioning accuracy by using SNR. J Surv Eng 125(4):185–202
Li M, Qu L, Zhao Q et al (2014) Precise point positioning with the BeiDou navigation satellite system. Sensors 14(1):927–943
Nikolaidis RM, Bock Y, de Jonge PJ, Shearer P, Agnew DC, Van Domselaar M (2001) Seismic wave observations with the global positioning system. J Geophys Res 106(B10):21897–21916. doi:10.1029/2001JB000329
Owen S, Webb F (2005) Impact of GPS satellite antenna phase center variations and modified sidereal filtering on reference frame determination. Eos Trans AGU, 86(52), Fall Meet Suppl, Abstract G32A-06
Ragheb AE, Clarke PJ, Edwards SJ (2007) GPS sidereal filtering: coordinate-and carrier-phase-level strategies. J Geodesy 81(5):325–335
Reuveni Y, Kedar S, Owen SE et al (2012) Improving sub-daily strain estimates using GPS measurements. Geophys Res Lett 39:L11311. doi:10.1029/2012GL051927
Shi C, Zhao Q, Hu Z, Liu J (2013) Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites. GPS Solut 17(1):103–119
Souza EM, Monico JFG (2004) Wavelet shrinkage: high frequency multipath reduction from GPS relative positioning. GPS Solut 8(3):152–159
Townsend B, Fenton P (1994) A practical approach to the reduction of pseudorange multipath errors in a L1 GPS receiver. In: Proceedings of the ION-94, Salt Lake City, UT, USA, 20–23 September, pp 143–148
Townsend B, Fenton P, Van Dierendonck KJ et al (1995) Performance evaluation of the multipath estimating delay lock loop. In: Proceedings of the ION national technical meeting, Anaheim, CA, USA, 18–20 January, pp 503–514
Van Dierendonck AJ, Fenton P, Ford T (1992) Theory and performance of narrow correlator spacing in a GPS receiver. Navigation 39(2):265–283
Wei Z (2008) China geodetic coordinate system 2000 and its comparison with WGS84. J geodesy geodyn 25(4):1–5 (in Chinese)
Wu X, Zhou J, Wang G et al (2012) Multipath error detection and correction for GEO/IGSO satellites. Sci China Phys Mech Astron 55(7):1297–1306
Xu A, Xu Z, Ge M et al (2013) Estimating zenith tropospheric delays from BeiDou navigation satellite system observations. Sensors 13(4):4514–4526
Yang Y, Li J, Wang A et al (2014) Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system. Sci China Earth Sci 57(1):144–152
Zheng DW, Zhong P, Ding XL et al (2005) Filtering GPS time-series using a Vondrak filter and cross-validation. J Geodesy 79(6–7):363–369
Zhong P, Ding XL, Zheng DW et al (2008) Adaptive wavelet transform based on cross-validation method and its application to GPS multipath mitigation. GPS Solut 12(2):109–117
Zhong P, Ding X, Yuan L, Xu Y et al (2010) Sidereal filtering based on single differences for mitigating GPS multipath effects on short baselines. J Geodesy 84(2):145–158
Acknowledgments
Thanks are due to Shilai Cheng for valuable discussion. The authors also thank anonymous reviewers for their suggestions which significantly improved the quality of the manuscript. This work is supported by National Natural Science Foundation of China (No. 41074008), National 973 Program of China (No. 2012CB957701), Research Fund for the Doctoral Program of Higher Education of China (No. 20120141110025), Non-profit Industry Financial Program of MWR (No. 201401072).
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Ye, S., Chen, D., Liu, Y. et al. Carrier phase multipath mitigation for BeiDou navigation satellite system. GPS Solut 19, 545–557 (2015). https://doi.org/10.1007/s10291-014-0409-1
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DOI: https://doi.org/10.1007/s10291-014-0409-1