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Mitigation of multipath effects in GPS and BDS positioning using window matching method based sidereal filtering

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Abstract

Multipath effect is a main source of error in relative positioning, which cannot be eliminated or mitigated by differential algorithm. We discuss the topic of mitigating multipath at a static station in observation domain with GPS and BDS systems. At present, the sidereal filtering as one of the most commonly used multipath mitigating methods relies on the repetition period of multipath, which cannot be accurately estimated influenced by the maneuver of satellite orbit and the time interval of satellite ephemeris. The window matching method as a real-time method was proposed to reduce this effect. However, this method is affected by similarity measures in the process of real-time window matching. We propose a near real-time window matching method based on sidereal filtering. In the modified method, the satellite single difference residual is divided into segments and the cross-correlation method is used to obtain the multipath repeat time. At the same time, the second segment series overlaps with the previous segment to ensure a near real-time performance. Based on the obtained repeat time, the template window and matched window are formed by epochs in the segment and then an affine transformation is applied to determine the value of multipath correction between the two windows. Tests were conducted for GPS and BDS systems respectively using the baseline observations at static stations in the Ha-Jia high-speed railway. The experimental results show that the modified method can mitigate the multipath error in double difference observation, and finally provide higher positioning results than methods without model and traditional model. In practice, application of the modified method in near real-time baseline positioning can effectively mitigate the multipath error.

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Data availability

The GPS/BDS observation data are provided by China Railway Design Corporation which can be obtained by contacting Email mrzhan1996@163.com or Corresponding author xfhe@ hhu.edu.cn for academic purposes on reasonable request.

References

  • Agnew DC, Larson KM (2007) Finding the repeat times of the GPS constellation. GPS Solut 11(1):71–76

    Article  Google Scholar 

  • Alber C, Ware R, Rocken C, Braun J (2000) Obtaining single path phase delays from GPS double differences. Geophys Res Lett 27:2661–2664

    Article  Google Scholar 

  • Atkins C, Ziebart M (2016) Effectiveness of observation-domain sidereal filtering for GPS precise point positioning. GPS Solut 20(1):111–122

    Article  Google Scholar 

  • 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 ION GNSS 2005. Institute of Navigation, Long Beach, CA, September 13–16, pp 2638–2648

  • Bedford L, Geosystems L, Brown N, Walford J (2009) New 3D four constellation high performance wideband choke ring antenna. In: Proceedings of ION GNSS 2009. Anaheim, CA, USA, Jan 26–28, 2009, pp 829–835

  • Bilich A, Larson KM (2007) Mapping the GPS multipath environment using the signal-to-noise ratio (SNR). Radio Sci 42(6)

  • Chen D, Ye S, Xia J, Liu Y, Xia P (2016) A geometry-free and ionosphere-free multipath mitigation method for BDS three-frequency ambiguity resolution. J Geod 90(8):703–714

    Article  Google Scholar 

  • Choi K, Bilich A, Larson KM, Axelrad P (2004) Modified sidereal filtering: implications for high-rate GPS positioning. Geophys Res Lett

  • Comp CJ, Axelrad P (1996) Adaptive SNR-based carrier phase multipath mitigation technique. IEEE Trans Aerosp Electron Syst 34(1):264–276

    Article  Google Scholar 

  • Dai WJ, Shi Q, Cai CS (2017) Characteristics of the BDS carrier phase multipath and its mitigation methods in relative positioning. Sensors 17(4)

  • Genrich JF, Bock Y (1992) Rapid resolution of crustal motion at short ranges with the global positioning system. J Geophys Res 97(B3):3261–3269

    Article  Google Scholar 

  • Han S, Rizos C (1997) Multipath effects on GPS in mine environments. In: 10th international congress for mine surveying, Fremantle, Australia, November 2–6, pp 447–457

  • Hofmann-Wellenhof B, Lichtenegger H, Wasle E (2007) GNSS-global navigation satellite systems: GPS, GLONASS, Galileo, and more. Springer, Vienna

    Google Scholar 

  • Larson KM, Bilich A, Axelrad P (2007) Improving the precision of high-rate GPS. J Geophys Res Solid Earth

  • 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

    Article  Google Scholar 

  • Lau L, Cross P (2007) Development and testing of a new ray-tracing approach to GNSS carrier-phase multipath modelling. J Geod 81(11):713–732

    Article  Google Scholar 

  • Lau L, Mok E (1999) Improvement of GPS relative positioning accuracy by using SNR. J Surv Eng ASCE 125(4):185–202

    Article  Google Scholar 

  • Li ZH (2013) GPS surveying and data processing. Wuhan University Press

  • Liu H, Li X, Ge L, Rizos C, Wang F (2011) Variable length LMS adaptive filter for carrier phase multipath mitigation. GPS Solut 15(1):29–38

    Article  Google Scholar 

  • Mallat S (2008) A wavelet tour of signal processing: the sparse way, 3rd edn. Academic Press Inc, Orlando

    Google Scholar 

  • Ragheb AE, Clarke PJ, Edwards SJ (2007) GPS sidereal filtering: coordinate- and carrier-phase- level strategies. J Geod 81(5):325–335

    Article  Google Scholar 

  • Rost C, Wanninger L (2009) Carrier phase multipath mitigation based on GNSS signal quality measurements. J Appl Geod 3(2):81–87

    Google Scholar 

  • Seeber G, Menge F, Völksen C, Wübbena G, Schmitz M (1998) Precise GPS positioning improvements by reducing antenna and site dependent effects. Int Assoc Symp 118. September 3–9, 1997, Rio de Janeiro, Brazil, Springer Verlag

  • Serrd J, Arcos JL (2014) An empirical evaluation of similarity measures for time series classification. Knowl-Based Syst 67:305–314

    Article  Google Scholar 

  • Shen N, Chen L, Wang L, Lu X, Tao T, Yan J, Chen R (2020) Site-specific real-time GPS multipath mitigation based on coordinate time series window matching. GPS Solut 24:82

  • Steigenberger P, Hugentobler U, Hauschild A, Montenbruck O (2013) Orbit and clock analysis of compass GEO and IGSO satellites. J Geod 87(6):515–525

    Article  Google Scholar 

  • Su M, Zheng J, Yang Y, Wu Q (2018) A new multipath mitigation method based on adaptive thresholding wavelet denoising and double reference shift strategy. GPS Solut 22(2):40

    Article  Google Scholar 

  • Takasu T (2011) RTKLIB: an open source program package for GNSS positioning. Technical Report, 2013. Software and Documentation

  • Wang X, Mueen A, Ding H, Trajcevski G, Scheuermann P, Keogh E (2013) Experimental comparison of representation methods and distance measures for time series data. Data Min Knowl Discov 26(2):275–309

    Article  Google Scholar 

  • Wang M, Wang J, Dong D, Li H, Han L, Chen W (2018) Comparison of three methods for estimating GPS multipath repeat time. Remote Sens 10(2):6

    Article  Google Scholar 

  • Ye S, Chen D, Liu Y, Jiang P, Tang W, Xia P (2015) Carrier phase multipath mitigation forBeiDou navigation satellite system. GPS Solutions 19(4):545–557

    Article  Google Scholar 

  • Yuan LG, Huang DF, Ding XL, Xiong YL, Zhong P, Cheng-Gang LI (2004) On the influence signal multipath effects in GPS carrier phase surveying. Acta Geod Cartogr Sin 33(003):210–215

    Google Scholar 

  • Zhang Z (2021) Code and phase multipath mitigation by using the observation-domain parameterization and its application in five-frequency GNSS ambiguity resolution. GPS Solut 25:144. https://doi.org/10.1007/s10291-021-01179-y

    Article  Google Scholar 

  • Zhang Z, Li B, Gao Y, Shen Y (2019) Real-time carrier phase multipath detection based on dual-frequency C/N0 data. GPS Solut 23:7. https://doi.org/10.1007/s10291-018-0799-6

    Article  Google Scholar 

  • Zheng K, Zhang X, Li P, Li X, Ge M, Guo F, Sang J, Schuh H (2019) Multipath extraction and mitigation for high-rate multi-GNSS precise point positioning. J Geod 93(10):2037–2051

    Article  Google Scholar 

  • Zheng K, Zhang X, Sang J, Zhao Y, Wen G, Guo F (2021) Common-mode error and multipath mitigation for subdaily crustal deformation monitoring with high-rate GPS observations. GPS Solut 25:67. https://doi.org/10.1007/s10291-021-01095-1

    Article  Google Scholar 

  • Zhong P, Ding XL, Zheng DW, Chen W, Huang DF (2007) An adaptive wavelet transform based on cross-validation and its application to mitigate GPS multipath effects. Acta Geod Cartogr Sin 36(3):279–285

    Google Scholar 

  • Zhong P, Ding XL, Zheng DW, Chen W (2008) Adaptive wavelet transform based on cross-validation method and its application to GPS multipath mitigation. GPS Solut 12(2):109–117

    Article  Google Scholar 

  • 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 84:145–158

    Article  Google Scholar 

  • Zumberge JF, Heflin MB, Jefferson DC, Watkins MM, Webb FH (1997) Precise point positioning for the efficient and robust analysis of GPS data from large networks. J Geophys Res 102(B3):5005–5017

    Article  Google Scholar 

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Acknowledgements

This work is funded by the National Natural Science Foundation of China (41830110, 42004014), the National Key Research Development Program of China (2018YFC1503603), and the Natural Science Foundation of Jiangsu Province (BK20200530).

Funding

The National Natural Science Foundation of China, 41830110, Xiufeng He, 42004014, Zhetao Zhang, the National Key Research Development Program of China, 2018YFC1503603, Xiufeng He, the Natural Science Foundation of Jiangsu Province, BK20200530, Zhetao Zhang.

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Authors and Affiliations

  1. School of Earth Sciences and Engineering, Hohai University, Nanjing, 211100, China

    Wei Zhan, Xiufeng He, Dongzhen Jia & Zhetao Zhang

  2. China Railway Design Corporation, Tianjing, 300251, China

    Yunlong Zhang

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  1. Wei Zhan
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  2. Xiufeng He
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  3. Dongzhen Jia
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  4. Zhetao Zhang
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  5. Yunlong Zhang
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Correspondence to Xiufeng He.

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Zhan, W., He, X., Jia, D. et al. Mitigation of multipath effects in GPS and BDS positioning using window matching method based sidereal filtering. Acta Geod Geophys 57, 427–446 (2022). https://doi.org/10.1007/s40328-022-00384-6

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  • DOI: https://doi.org/10.1007/s40328-022-00384-6

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