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A Procedure for Ambiguity Fixing with Dual-Frequency Phase and Code Observations

  • Research Article - Earth Sciences
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Abstract

Carrier phase measurements are accurate and commonly used to estimate precise baseline lengths. It is however necessary to fix ambiguities when using this technique in order to obtain good estimates of the baselines. In this paper, a new procedure for ambiguity fixing is proposed and the results show its effectiveness in estimating the ambiguity. The baseline is first estimated by pseudorange measurements. The subsequent ambiguity fixing requires a combination of carrier phase measurements with a wavelength that is at least twice the difference of the baseline error projections into the line of sights to satellites p and q for a direct estimation of the ambiguities. Real data observation was used to demonstrate the precise baseline estimation in comparison to the LAMBDA solution. The two solutions were found to be the same.

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References

  1. Counselman C.C., Gourevitch S.A.: Miniature interferometer terminals for earth surveying: ambiguity and multipath with global positioning system. Geosci. Remote Sens. IEEE Trans. 4, 244–252 (1981)

    Article  Google Scholar 

  2. Remondi, B.W.: Using the global positioning system (gps) phase observable for relative geodesy: modeling, processing, and results. Thesis (1984)

  3. Han S., Rizos C.: Improving the computational efficiency of the ambiguity function algorithm. J. Geo. 70(6), 330–341 (1996)

    MATH  Google Scholar 

  4. Frei E., Beutler G.: Rapid static positioning based on the fast ambiguity resolution approach “FARA”: theory and first results. Manuscr. Geodaetica 15(6), 325–356 (1990)

    Google Scholar 

  5. Teunissen, P.J.G.: Least-squares estimation of the integer gps ambiguities.In: Invited lecture, Section 4: Theory and Methodology, IAG General Meeting Beijing, China, August (1993)

  6. Teunissen, P.J.G.: The least-squares ambiguity decorrelation adjustment: a method for fast gps integer ambiguity estimation. J. Geodesy 70(1), 65–82 (1995)

    Google Scholar 

  7. Teunissen P.J.G.: An optimality property of the integer least-squares estimator. J. Geodesy 73(11), 587–593 (1999)

    Article  MATH  Google Scholar 

  8. Teunissen, P.J.G.: Theory of integer equivariant estimation with application to GNSS. J. Geodesy 77, 402–410, (2003). doi:10.1007/s00190-003-0344-3

    Google Scholar 

  9. Teunissen, P.J.G.: GNSS best integer equivariant estimation. Int. Assoc. Geodesy Symposia 128(04), 422–427, (2005). doi:10.1007/3-540-27432-4_7

    Google Scholar 

  10. Chen D., Lachapelle G.: A comparison of the FASF and least-squares search algorithms for on-the-fly ambiguity resolution. Navig. Wash. 42(2), 371–390 (1995)

    Google Scholar 

  11. Kim, D.; Langley, R.B.: An optimized least-squares technique for improving ambiguity resolution and computational efficiency. ION GPS 1588 (1999)

  12. Henkel, P.; Günther, C.: Reliable integer ambiguity resolution with multi-frequency code carrier linear combinations. J. Glob. Position. Syst. 9(2), 90–103 (2010)

    Google Scholar 

  13. Henkel, P.; Günther, C.: Reliable integer ambiguity resolution: multi-frequency code carrier linear combinations and statistical a priori knowledge of attitude. Navigation 59(1), 61–75 (2012). doi:10.1002/navi.6

    Google Scholar 

  14. Henkel, P.: Bootstrapping with multi-frequency mixed code carrier linear combinations and partial integer decorrelation in the presence of biases. Geodesy for planet earth. Int. Assoc. Geodesy Symp. 136(6), 925–933 (2012). doi:10.1007/978-3-642-20338-1_116

  15. Teunissen P.J.G.: Success probability of integer GPS ambiguity rounding and bootstrapping. J. Geodesy 72, 606–612 (1998)

    Article  MATH  Google Scholar 

  16. Dach, R.; Schaer, S.; Lutz, S.; Meindl, M.; Beutler, G.: Combining the observations from different GNSS. In: EUREF 2010 Symposium, Gävle, Sweden, 02–05 June (2010)

  17. Feng Y.: GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. J. Geodesy 82(12), 847–862 (2008)

    Article  Google Scholar 

  18. Collins, J.P.: An overview of GPS inter-frequency carrier phase combinations. Unpublished paper (Available on-line at: http://gauss.gge.unb.ca/papers.pdf/L1L2combinations.collins.pdf). (1999). Accessed 16 Sept 2012

  19. Collins, J.; Langley, R.: Possible weighting schemes for gps carrier phase observations in the presence of multipath. In: Final contract report for the US Army Corps of Engineers Topographic Engineering Center, No. DAAH04-96-C-0086/TCN 98151. http://gauss2.gge.unb.ca/papers.pdf/acereport99.pdf (1999). Accessed 16 Sept 2012

  20. Cocard, M.; Geiger, A.: A systematic search for all possible widelanes. In: Proceedings of the sixth international Geodetic symposium on Satellite Positioning, pp 312–318, Columbus, 17–20 March (1992)

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Authors and Affiliations

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

    Xu Tang, Xiu Feng He & Vagner G. Ferreira

  2. Xinjiang Uygur Autonomous Region Research Institute of Land and Resources Planning, Ürümqi, China

    A. Jing Zhou

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  1. Xu Tang
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  2. Xiu Feng He
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  3. Vagner G. Ferreira
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  4. A. Jing Zhou
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Correspondence to Xiu Feng He.

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Tang, X., He, X.F., Ferreira, V.G. et al. A Procedure for Ambiguity Fixing with Dual-Frequency Phase and Code Observations. Arab J Sci Eng 39, 287–294 (2014). https://doi.org/10.1007/s13369-013-0842-4

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  • DOI: https://doi.org/10.1007/s13369-013-0842-4

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