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, 22:40 | Cite as

A new multipath mitigation method based on adaptive thresholding wavelet denoising and double reference shift strategy

  • Mingkun Su
  • Jiansheng Zheng
  • Yanxi Yang
  • Qiang Wu
Original Article
  • 312 Downloads

Abstract

Multipath disturbance is one of the major error sources in high-accuracy positioning for global navigation satellite system (GNSS). Although various methods based on software and hardware strategies have been developed to mitigate this error, they are still limited by different kinds of factors and the effect is not ideal. After analyzing the existing methods, a new single-difference sidereal filtering method, based on adaptive thresholding wavelet denoising and double reference shift strategy (ATDR), is proposed to mitigate multipath effects for static short-baseline GNSS applications. The key idea of the proposed method is the use of both the adaptive thresholding wavelet denoising to extract an accurate multipath correction model from the reference Day and the double reference shift strategy to mitigate multipath for subsequent Day 2 more accurately and efficiently. By applying the introduced adaptive thresholding method, the average improvement rate of the RMS values of the single-difference residuals can reach about 15.82% compared with the constant thresholding method. Moreover, after applying the proposed ATDR method, the 3D positioning precision is improved by about 37.73% for the single epoch mode with 30 s data sampling rate and about 31.22% for the continuous mode with 1 s high sampling rate compared with the original results. Even compared with the constant thresholding single orbital reference (CTSR) method, the improvement percentage is about 33.94% in single epoch mode and about 25.40% in continuous mode for 3D positioning precision, respectively. In conclusion, the results of the two experiments indicate that the proposed ATDR method performs much better than the CTSR method in mitigating multipath for different sampling rates and different processing modes in the measurement domain for GNSS static short-baseline postprocessing applications.

Keywords

Multipath mitigation Adaptive thresholding Double reference shift strategy Wavelet transform GNSS 

References

  1. Agnew D, Larson K (2007) Finding the repeat times of the GPS constellation. GPS Solut 11(1):71–76.  https://doi.org/10.1007/s10291-006-0038-4 CrossRefGoogle Scholar
  2. 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.  https://doi.org/10.1029/2000GL011525 CrossRefGoogle Scholar
  3. Axelrad P, Comp C, Macdoran P (1996) SNR based multipath error correction for GPS differential phase. IEEE Trans Aerosp Electron Syst 32(2):650–660.  https://doi.org/10.1109/7.489508 CrossRefGoogle Scholar
  4. Azarbad M, Mosavi M (2014) A new method to mitigate multipath error in single-frequency GPS receiver with wavelet transform. GPS Solut 18(2):189–198.  https://doi.org/10.1007/s10291-013-0320-1 CrossRefGoogle Scholar
  5. Betaille D, Cross P, Euler H (2006) Assessment and improvement of the capabilities of a window correlator to model GPS multipath phase error. IEEE Trans Aerosp Electron Syst 42(2):705–717.  https://doi.org/10.1109/TAES.2006.1642583 CrossRefGoogle Scholar
  6. Bock Y, Nikolaidis R, Jonge P, Bevis M (2000) Instantaneous geodetic positioning at medium distances with the Global Positioning System. J Geophys Res 105(105):28223–28254.  https://doi.org/10.1029/2000JB900268 CrossRefGoogle Scholar
  7. Brunner F, Hartinger H, Troyer L (1999) GPS Signal diffraction modelling: the stochastic SIGMA-Δ model. J Geodesy 73(5):259–267.  https://doi.org/10.1007/s001900050242 CrossRefGoogle Scholar
  8. Chen X, Dovis F, Peng S (2013) Comparative studies of GPS multipath mitigation methods performance. IEEE Trans Aerosp Electron Syst 49(3):1555–1568.  https://doi.org/10.1109/TAES.2013.6558004 CrossRefGoogle Scholar
  9. 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 Geodesy 90(8):703–714.  https://doi.org/10.1007/s00190-016-0903-z CrossRefGoogle Scholar
  10. Chen Y, Cheng Y, Liu H (2017) Application of improved wavelet adaptive threshold denoising algorithm in FBG demodulation. Optik 132:243–248.  https://doi.org/10.1016/j.ijleo CrossRefGoogle Scholar
  11. Choi K, Bilich A, Larson K, Axelrad P (2004) Modified sidereal filtering: implications for high-rate GPS positioning. Geophys Res Lett 31(22):L22608.  https://doi.org/10.1029/2004GL021621 CrossRefGoogle Scholar
  12. Dong D, Wang M, Chen W, Zeng Z, Song L, Zhang Q, Cai M, Cheng Y, Lv J (2016) Mitigation of multipath effect in GNSS short baseline positioning by the multipath hemispherical map. J Geodesy 90(3):255–262.  https://doi.org/10.1007/s00190-015-0870-9 CrossRefGoogle Scholar
  13. Donoho D, Johnstone I (1994) Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3):425–455.  https://doi.org/10.2307/2337118 CrossRefGoogle Scholar
  14. Filippov V, Tatarnicov D, Asghaee J, Astakhov A, Sutiagin I (1998) The first Dual-depth Dual-frequency choke ring. In: Proceedings of ION GNSS 1998, Institute of Navigation, Nashville, Tennessee, USA, September 15–18, pp 1035–1040Google Scholar
  15. Fuhrmann T, Luo X, Knopfler A, Mayer M (2015) Generating statistically robust multipath stacking maps using congruent cells. GPS Solut 19(1):83–92.  https://doi.org/10.1007/s10291-014-0367-7 CrossRefGoogle Scholar
  16. Ge L, Han S, Rizos C (2000) Multipath mitigation of continuous GPS measurements using an adaptive filter. GPS Solut 4(2):19–30.  https://doi.org/10.1007/PL00012838 CrossRefGoogle Scholar
  17. 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.  https://doi.org/10.1029/91JB02997 CrossRefGoogle Scholar
  18. 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 447–457Google Scholar
  19. Iwabuchi T, Shoji Y, Shimada S, Nakamura H (2004) Tsukuba GPS dense net campaign observation: improvement in GPS stacking maps of post-fit phase residuals estimated from three software packages. J Meteor Soc Jpn 82(1B):315–330.  https://doi.org/10.2151/jmsj.2004.301 CrossRefGoogle Scholar
  20. Krantz E, Riley S, Large P (2001) The design and performance of the Zephyr geodetic antenna. In: Proceedings of ION GNSS 2001, Institute of Navigation, Salt Lake City, Utah, USA, September 11–14, pp 1942–1951Google Scholar
  21. Larson K, Bilich A, Axelrad P (2007) Improving the precision of high-rate GPS. J Geophys Res 112(B5):51–70.  https://doi.org/10.1029/2006JB004367 CrossRefGoogle Scholar
  22. Lau L (2015) Wavelet packets based denoising method for measurement domain repeat- time multipath filtering in GPS static high-precision positioning. GPS Solut 21(2):461–474.  https://doi.org/10.1007/s10291-016-0533-1 CrossRefGoogle Scholar
  23. Lidberg M, Eksrom C, Johansson J (2007) Site-dependent effects in high-accuracy applications of GNSS. EUREF Publication No.17, Mitteilungen des Bundesamtes fuer Kartographie und Geodaesie, Band 42, June 6–9, pp 132–138Google Scholar
  24. 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.  https://doi.org/10.1007/s10291-010-0165-9 CrossRefGoogle Scholar
  25. Moradi R, Schuster W, Feng S, Jokinen A, Ochieng W (2015) The carrier-multipath observable: a new carrier-phase multipath mitigation technique. GPS Solut 19(1):73–82.  https://doi.org/10.1007/s10291-014-0366-8 CrossRefGoogle Scholar
  26. Pugliano G, Robustelli U, Rossi F, Santamaria R (2016) A new method for specular and diffuse pseudorange multipath error extraction using wavelet analysis. GPS Solut 20(3):499–508.  https://doi.org/10.1007/s10291-015-0458-0 CrossRefGoogle Scholar
  27. Ragheb A, Clarke P, Edwards S (2007) GPS sidereal filtering: coordinate and carrier- phase-level strategies. J Geodesy 81(5):325–335.  https://doi.org/10.1007/s00190-006-0113-1 CrossRefGoogle Scholar
  28. Satirapod C, Rizos C (2005) Multipath mitigation by wavelet analysis for GPS base station applications. Surv Rev 38(295):2–10.  https://doi.org/10.1179/003962605791521699 CrossRefGoogle Scholar
  29. Souza E, Monico J (2004) Wavelet shrinkage: high frequency multipath reduction from GPS relative positioning. GPS Solut 8(3):152–159.  https://doi.org/10.1007/s10291-004-0100-z CrossRefGoogle Scholar
  30. Strode R, Groves P (2015) GNSS multipath detection using three-frequency signal-to-noise measurements. GPS Solut 20(3):399–412.  https://doi.org/10.1007/s10291-015-0449-1 CrossRefGoogle Scholar
  31. Sun L, Chen J, Tan S (2015) Research on multipath limiting antenna array with fixed phase center. GPS Solut 19(4):505–510.  https://doi.org/10.1007/s10291-014-0400-x CrossRefGoogle Scholar
  32. Swathi N, Indira D, Sasibhushana R (2016) An adaptive filter approach for GPS multipath error estimation and mitigation. Springer, New Delhi, pp 539–546.  https://doi.org/10.1007/978-81-322-2728-1_50 Google Scholar
  33. Townsend B, Fenton P (1994) A practical approach to the reduction of pseudorange multipath errors in a L1 GPS receiver. In: Proceedings of ION GNSS 1994, Institute of Navigation, Salt Lake City, Utah, USA, September 20–23, pp 143–148Google Scholar
  34. Van Dierendonck A, Fenton P, Ford T (1992) Theory and performance of narrow correlator spacing in a GPS receiver. Navigation 39(3):265–283.  https://doi.org/10.1002/j.2161-4296.1992.tb02276.x CrossRefGoogle Scholar
  35. Van Nee R (1992) The multipath estimating delay lock loop. In: Proceedings of the IEEE 2nd international symposium on spread spectrum techniques and applications, Yokohama, November 29–December 2, pp 39–42Google Scholar
  36. Wang D, Meng X, Gao C, Pan S, Chen Q (2017) Multipath extraction and mitigation for bridge deformation monitoring using a single-difference model. Adv Space Res 10(59):2536–2547.  https://doi.org/10.1016/j.asr.2017.01.007 Google Scholar
  37. Wanninger L, May M (2001) Carrier-phase multipath calibration of GPS reference stations. Navigation 48(2):112–124.  https://doi.org/10.1002/j.2161-4296.2001.tb00266.x CrossRefGoogle Scholar
  38. Wu J, Hsieh C (2010) Statistical modeling for the mitigation of GPS multipath delays from day-to-day range measurements. J Geodesy 84(4):223–232.  https://doi.org/10.1007/s00190-009-0358-6 CrossRefGoogle Scholar
  39. Ye S, Chen D, Liu Y, Jiang P, Tang W, Xia P (2015) Carrier phase multipath mitigation for BeiDou navigation satellite system. GPS Solut 19(4):545–557.  https://doi.org/10.1007/s10291-014-0409-1 CrossRefGoogle Scholar
  40. Zhang K, Li B, Zhu X, Chen H, Sun G (2017) Multipath detection based on single orthogonal dual linear polarized GNSS antenna. GPS Solut 21(3):1203–1211.  https://doi.org/10.1007/s10291-017-0603-z CrossRefGoogle Scholar
  41. Zhong P, Ding X, Zheng D, Chen W (2008) Adaptive wavelet transform based on cross- validation method and its application to GPS multipath mitigation. GPS Solut 12(2):109–117.  https://doi.org/10.1007/s10291-007-0071-y CrossRefGoogle Scholar
  42. 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 Geodesy 84(2):145–158.  https://doi.org/10.1007/s00190-009-0352-z CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Wuhan UniversityWuhanChina

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