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Single Frequency Multipath Mitigation Based On Wavelet Analysis

Published online by Cambridge University Press:  20 April 2007

Mohammad Aram
Affiliation:
(Ryerson University, Toronto) (Email: [email protected])
Ahmed El-Rabbany
Affiliation:
(Ryerson University, Toronto) (Email: [email protected])
Sri Krishnan
Affiliation:
(Ryerson University, Toronto) (Email: [email protected])
Alagan Anpalagan
Affiliation:
(Ryerson University, Toronto) (Email: [email protected])

Abstract

Multipath is still one of the major error sources that degrades the accuracy of GPS positioning. The amount of multipath is highly dependent on the antenna's environment, which makes it difficult to isolate. Usually there is at least one in-view satellite which is more susceptible to multipath, particularly the one with the lowest elevation angle. To increase the positioning the best satellites must be selected (i.e. by least square or multipath mitigation) for computing a position. In this paper we propose an algorithm which picks up the best satellites (when there are more than four satellites in view) based on wavelet analysis for calculating a position. In this experiment, code and carrier measurements were collected in 15-minute segments by exploiting a single frequency (L1), stationary, navigation-grade receiver in a high-multipath environment. The magnitudes of these pseudoranges were often inflated by multipath error. We then post-processed the received data by applying wavelet filtering to the residuals (code minus carrier) to approximate the multipath values, and compute the receiver's position based on the selected satellites. Satellites were selected based on the residual values. To compare the results with the raw measurements, statistical elements were computed. The results showed significant improvement in variance of the estimated positions and, most importantly, a normalization of the data scatter-distribution was observed.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2007

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References

REFERENCES

[1]Satirapod, C., Rizos, C., (2003). “Multipath Mitigation by Wavelet Analysis for GPS Base Station Applications”, Survey Review, Vol. 38, No. 295.Google Scholar
[2]Zhang, Y., Bartone, C., (2004) “Real-time Multipath Mitigation with WaveSmooth Technique using Wavelets”, ION GNSS 17th International Technical Meeting of the Satellite Division, pg 11811193, 21–24 September 2004.Google Scholar
[3]El-Rabbany, A., (2006) “Advanced Satellite Positioning”, Unpublished Lecture Notes, Department of Civil Engineering, Ryerson University.Google Scholar
[4]Zogg, J., (2002) “GPS Basics, Introduction to the System Application Overview”, u-blox Corporation, www.telecom.fh-htwchur.ch/zogg/Dateien.Google Scholar
[5]Sidney Burrus, C., Gopinath, A. Ramesh, (1998) “Wavelet and Wavelet Transforms”, Rice University, Prentice-Hall, Inc.Google Scholar
[6]Williams, J. R. and Amaratunga, Kevin, (2001) “Introduction to Wavelets in Engineering”, Intelligent Engineering Systems Laboratory, Massachusetts Institute of Technology, Cambridge.Google Scholar
[7]El-Shimy, N., Osman, A., Nassar, S., Noureldin, A., (2003). “Wavelet Multiresolution Analysis”, GPS World.Google Scholar
[8]Ahmadi, H., (2004) “Wavelets: Principles and Applications in Signal Processing”, University of Tehran, Electrical and Computer Engineering Department, Lecture Notes.Google Scholar
[10]Donoho, D. L., (1995) “De-noising by Soft-Thresholding”, IEEE Trans. on Information Theory, Volume 41, Issue 3.CrossRefGoogle Scholar
[12]Misra, P., Burke, B., Pratt, M., (1999) “GPS Performance in Navigation”, Proceedings of the IEEE, VOL. 87.Google Scholar
[13]Bisnath, S., Langley, R., (2001). “Pseudorange Multipath by Means of Multipath Monitoring and De-Weighting”, presented at KIS 2001, 5–8 June 2001, Alberta.Google Scholar
[14]Daubechies, I., (1992) “Ten Lectures on Wavelets”, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 91, SIAM, Philade.Google Scholar