Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T08:05:03.604Z Has data issue: false hasContentIssue false

Multipath Mitigation by Global Robust Estimation

Published online by Cambridge University Press:  26 June 2008

Sergio Baselga
Affiliation:
(Polytechnic University of Valencia, Spain)
Luis García-Asenjo
Affiliation:
(Polytechnic University of Valencia, Spain)

Abstract

In the last decades, robust estimation has been widely applied to overcome the presence of gross errors in observations. Recently it has been shown that robust estimation, if computed appropriately, is able to cope with a larger amount of gross errors and also capable of providing reliable estimations in situations where systematic errors are present. It is the purpose of this paper to propose the use of global robust estimation for computing baselines strongly affected by multipath effects.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Amiri-Simkooei, AR, Tiberius, CCJM (2007). Assessing receiver noise using GPS short baseline time series. GPS Solutions, 11(1): 2135.Google Scholar
Andrews, DF, Bickel, PJ, Hampel, FR, Huber, PJ, Rogers, WH, Tukey, JW (1972). Robust estimates of location.: Surveys and advances. Princeton University Press, Princeton, NJ.Google Scholar
Aram, M, El-Rabbany, A, Krishnan, S, Anpalagan, A (2007). Single frequency multipath mitigation based on wavelet analysis. The Journal of Navigation, 60, 281290.CrossRefGoogle Scholar
Axelrad, P, Comp, CJ, Macdoran, PF (1996). SNR-based multipath error correction for GPS differential phase. IEEE Transactions on Aerospace and Electronic Systems, 32: 650660.CrossRefGoogle Scholar
Baselga, S (2007). A Global Optimization Solution of Robust Estimation. Journal of Surveying Engineering, 133(3): 123128.Google Scholar
Baselga, S, García-Asenjo, L (2008). GNSS differential positioning by robust estimation. Journal of Surveying Engineering 134(1): 2125.Google Scholar
Berné, JL, Baselga, S (2004). First-order design of geodetic networks using the simulated annealing method. Journal of Geodesy, 78, 4754.CrossRefGoogle Scholar
Braash, MS (1996) Multipath effects. In: Parkinson, BW, Spilker, JJ (eds) Global positioning system: theory and applications. American Institute of Aeronautics and Astronautics, Cambridge, vol 1, 547568.Google Scholar
Fuchs, H (1982). Contribution to the adjustment by minimizing the sum of absolute residuals. Manuscripta Geodaetica, 7: 151207.Google Scholar
Hartinger, H, Brunner, FK (1999). Variances of GPS phase observations: The SIGMA-ε model. GPS Solutions, 2(4): 3543.Google Scholar
Harvey, BR (1993). Survey network adjustments by the L1 method. Australian Journal of Geodesy, Photogrammetry and Surveying, 59, 3952.Google Scholar
Huber, PJ (1981). Robust statistics. Wiley, New York.Google Scholar
Lau, L, Cross, P (2007). Development and testing of a new ray-tracing approach to GNSS carrier-phase multipath modelling. Journal of Geodesy, 81(11): 713732.CrossRefGoogle Scholar
Teunissen, PJG (1995). The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70(1–2), 6582.Google Scholar
Qingming, G, Jinshan, L (1999). Generalized shrunken-type robust estimation. Journal of Surveying Engineering., 125(4), 177184.CrossRefGoogle Scholar
Satirapod, C, Rizos, C (2005). Multipath mitigation by wavelet analysis for GPS base station applications. Survey Review, 38: 210.Google Scholar
Souza, EM, Monico, JFG (2004). Wavelet Shrinkage: high frequency multipath reduction from GPS relative positioning. GPS Solutions, 8(3): 152159.Google Scholar
Wieser, A, Brunner, FK (2002). Short static GPS sessions: robust estimation results. GPS Solutions, 5(3): 7079.Google Scholar
Yang, Y, Wen, Y, Xiong, J, Yang, J (1999). Robust estimation for a dynamic model of the sea surface. Survey Review, 35: 210.CrossRefGoogle Scholar
Zhong, P, Ding, XL, Zheng, DW, Chen, W, Huang, DF (2007). Adaptive wavelet transform based on cross validation method and its application to GPS multipath mitigation. GPS Solutions, 10.1007/s10291-007-0071-yGoogle Scholar