Abstract
Having non-negligible impact on the code range observables, multipath delay is one of the error sources that limit GNSS positioning accuracy. Due to the relatively stationary geometry, multipath effects for signals from geostationary earth orbit (GEO) satellites are even more difficult to mitigate by merely increasing the observing periods or averaging over multiple epochs. To investigate the characteristics of code, multipath effects for the BeiDou Navigation Satellite System (BDS) GEO satellites, a linear combination of observations reflecting code multipath was employed and BDS multipath time series over long periods were analyzed with the Fourier transform, correlation and wavelet transform. The amplitudes of GEO multipath series vary from <1.0 m to around 2.0 m, and the periods of the dominant daily repeating components fall between 86,130 and 86,280 s. The low-frequency components were extracted, and most cross-correlation coefficients between the low-frequency components of two consecutive days are larger than 0.7. When the low-frequency components of the first day are subtracted from the multipath time series of the second day, a decrease of more than 25 % is found in terms of the code standard deviations. By correcting the observables with low-frequency multipath of the previous day, the precisions of code-only single-point positioning using ionosphere-free linear combination of BDS first and second or first and third frequencies can be improved. Precision improvements in north, east and up components for two stations in Perth, Australia were shown to be 0.2, 0.5 and 0.4 m, and 0.3, 0 and 0.5 m, respectively.












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Azarbad MR, Mosavi MR (2014) A new method to mitigate multipath error in single-frequency GPS receiver with wavelet transform. GPS Solut 18(2):189–198. doi:10.1007/s10291-013-0320-1
Bona P (2000) Precision, cross correlation, and time correlation of GPS phase and code observations. GPS Solut 4(2):3–13. doi:10.1007/pl00012839
Borre K, de Jong K, Pichot C (2001) Subsidence monitoring system using real-time GPS sensors. In: Proceedings of ION-GNSS-2001, The Institute of Navigation, Salt Lake City, Utah, USA, September, pp 362–367
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
Chui CK (1992) An introduction to wavelets. Academic Press, Boston
Cohen CA, Parkinson BW (1991) Mitigating multipath error in GPS based attitude determination. Adv Astronaut Sci 74:53–68
Daubechies I (1992) Ten lectures on wavelets. SIAM, Philadelphia
Estey LH, Meertens CM (1999) TEQC: the multi-purpose toolkit for GPS/GLONASS data. GPS Solut 3(1):42–49. doi:10.1007/PL00012778
Gao Y, Cui X, Lu M, Li H, Feng Z (2012) The analysis and simulation of multipath error fading characterization in different satellite orbits. In: Sun J, Liu J, Yang Y, Fan S (eds) Proceedings of China satellite navigation conference (CSNC) 2012, 15–19 May, Guangzhou, China. Springer, Germany, pp 297–308. doi:10.1007/978-3-642-29193-7_29
Ge L, Han S, Rizos C, Hatanaka Y (2002) GPS multipath change detection in permanent GPS stations. Surv Rev 36(283):306–322
Geng J, Bock Y (2013) Triple-frequency GPS precise point positioning with rapid ambiguity resolution. J Geod 87(5):449–460. doi:10.1007/s00190-013-0619-2
Georgiadou Y, Kleusberg A (1988) On carrier signal multipath effects in relative GPS positioning. Manuscr Geod 13:172–179
Irsigler M (2010) Characterization of multipath phase rates in different multipath environments. GPS Solut 14(4):305–317. doi:10.1007/s10291-009-0155-y
James JF (2011) A student’s guide to Fourier transforms with applications in physics and engineering, 3rd edn. Cambridge University Press, New York
Jenkins WK (1999) Fourier series, Fourier transforms, and the DFT. In: Madisetti VK, Williams DB (eds) Digital signal processing handbook. CRC Press, Boca Raton, pp 3–24
Kleusberg A, Teunissen PJG (1996) GPS for geodesy. Springer, Berlin
Liu X (2002) Quality control and stochastic model refinements for precise GPS kinematic positioning. Ph.D. Thesis, Wuhan University, Wuhan
Ma X, Shen Y (2012) Multipath analysis of COMPASS triple frequency observations. In: The international symposium on GPS/GNSS, October 31st to November 2nd, Xi’an, China
Ma X, Shen Y (2013) Beidou positioning and multipath analysis for short baselines. In: Sun J, Jiao W, Wu H, Shi C (eds) Proceedings of China satellite navigation conference (CSNC) 2013, Lecture notes in electrical engineering, vol 243, 15–17 May, Wuhan. Springer, Berlin, Heidelberg, pp 447–458
Ragheb AE, Clarke PJ, Edwards SJ (2007) GPS sidereal filtering: coordinate- and carrier-phase-level strategies. J Geod 81(5):325–335. doi:10.1007/s00190-006-0113-1
Satirapod C, Rizos C (2005) Multipath mitigation by wavelet analysis for GPS base station applications. Surv Rev 38(295):2–10
Seeber G (2003) Satellite geodesy: foundations, methods, and applications. Walter de Gruyter, Berlin
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. doi:10.1007/s10291-012-0264-x
Souza EM, Monico JFG (2004) Wavelet shrinkage: high frequency multipath reduction from GPS relative positioning. GPS Solut 8(3):152–159. doi:10.1007/s10291-004-0100-z
Souza EM, Monico JFG, Polezel WGC, Pagamisse A (2008) An effective wavelet method to detect and mitigate low-frequency multipath effects. In: Xu P, Liu J, Dermanis A (eds) International association of geodesy symposia. Springer Berlin, pp 179–184. doi:10.1007/978-3-540-74584-6_28
Wanninger L, May M (2001) Carrier-phase multipath calibration of GPS reference stations. Navig J Inst Navig 48(2):113–124
Xia L, Liu J, Zhang S, Deng Y (1999) Analysis on code multipath mitigation by phase-aided smoothing. Geo-spatial Inf Sci 2(1):73–77
Zhang X, Ding L (2013) Quality analysis of the second generation compass observables and stochastic model refining. Geomat Inf Sci Wuhan Univ 38(7):832–836
Zhang F, He H, Tang B, Shen F, Chen R (2013) Analysis of signal characteristics and positioning performance affected by pseudorange multipath for COMPASS. In: Sun J, Jiao W, Wu H, Shi C (eds) Proceedings of China satellite navigation conference (CSNC) 2013, Lecture notes in electrical engineering, vol 243, 15–17 May, Wuhan. Springer, Berlin Heidelberg, pp 493–503
Zhao Q, Guo J, Li M, Qu L, Hu Z, Shi C, Liu J (2013a) Initial results of precise orbit and clock determination for COMPASS navigation satellite system. J Geod 87(5):475–486. doi:10.1007/s00190-013-0622-7
Zhao W, Zhao N, Zhao H, Zhao J (2013b) Analysis of signal characteristics and positioning performance affected by pseudorange multipath for COMPASS. In: Sun J, Jiao W, Wu H, Shi C (eds) Proceedings of China satellite navigation conference (CSNC) 2013, Lecture notes in electrical engineering, vol 243, 15–17 May, Wuhan, pp 355–365
Zhong P, Ding X, Yuan L, Xu Y, Kwok K, Chen Y (2010) Sidereal filtering based on single differences for mitigating GPS multipath effects on short baselines. J Geod 84(2):145–158. doi:10.1007/s00190-009-0352-z
Zhou D (2009) Multipath error research based on wavelet transform. Master’s thesis, Jiangxi University of Science and Technology, Ganzhou
Acknowledgments
This work was partially sponsored by the National Natural Science Foundation of China (Grant No. 41231174), partially sponsored by the National “863 Program” of China (Grant No. 2013AA122501), and partially sponsored by the “111 Project” of China (Grant No. B07037). The authors would like to thank the IGS Multi-GNSS Experiment (MGEX) for providing GNSS data. The first author gratefully acknowledges Dr. X. Liu at Fugro Intersite B.V. and Dr. J. Geng at University of California San Diego, both of whom provided pertinent advice and revised the manuscript. Thanks also go to the three anonymous reviewers for their valuable comments and improvements to this manuscript.
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Wang, G., de Jong, K., Zhao, Q. et al. Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solut 19, 129–139 (2015). https://doi.org/10.1007/s10291-014-0374-8
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DOI: https://doi.org/10.1007/s10291-014-0374-8