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Optimal Solution to Multi-Frequency BDS Code-Multipath Combination Measurement

Published online by Cambridge University Press:  03 May 2019

Tian Jin*
Affiliation:
(School of Electronic and Information Engineering, Beihang University, Beijing, China)
Bingjie Hu
Affiliation:
(School of Electronic and Information Engineering, Beihang University, Beijing, China)
Yining Sun
Affiliation:
(School of Electronic and Information Engineering, Beihang University, Beijing, China)
Zhigang Huang
Affiliation:
(School of Electronic and Information Engineering, Beihang University, Beijing, China)
Qian Wang
Affiliation:
(Beijing Satellite Navigation Center, China)
Qiong Wu
Affiliation:
(China Transinfo Technology Co, China)
*

Abstract

Global Navigation Satellite System (GNSS) observations contain various errors, the separation and measurement of which is a popular research topic. Multipath effect on code measurements is investigated through the multipath combination, but carrier multipath error is small, and it is difficult to distinguish from other errors, such as hardware delay, carrier noise and satellite inherent biases. However, as the number of frequency points increases during the rapid development of GNSSs, it is possible to analyse the abovementioned errors in detail. Triple-frequency combination can be used to eliminate the first order ionospheric error, and a quad-frequency combination has one degree of freedom, which may be used to minimise carrier error effects. For this reason, an optimum method has been developed for multi-frequency GNSS code-multipath combination measurements, which has been verified by exploiting BeiDou System (BDS), three frequency data from an International GNSS Service (IGS) station and a city canyon as well as actual sampled quad-frequency data. By comparative analysis, we found that the fluctuations of an optimum triple-frequency combination are smaller than that of the non-optimum combination, which decreases the influence of inherent errors and biases on carrier phase. At the same time, second-order ionospheric error can be effectively eliminated as well. This provides a new code-multipath combination measurement optimisation methodology for future multi-frequency BDS and other GNSSs.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2019 

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References

REFERENCES

Bassiri, S. (1990). Three-frequency ranging systems and their applications to ionospheric delay calibration. TDA Progress Report. 42–103, 14–20.Google Scholar
Bassiri, S. and Hajj, G.A. (1992). Modeling the global positioning system signal propagation through the ionosphere. TDA Progress Report. 42–110, 92–103.Google Scholar
De Bakker, P.F.D., Tiberius, C.C.J.M., Marel, H.V.D. and Bree, R.J.P.V. (2012). Short and zero baseline analysis of GPS L1 C/A, L5Q, GIOVE E1B, and E5aQ signals. GPS Solutions, 16(1), 5364.Google Scholar
Estey, L.H. and Meertens, C.M. (1999). TEQC: the multi-purpose toolkit for GPS/GLONASS data. GPS Solutions, 3(1), 4249. doi:10.1007/PL00012778Google Scholar
Feng, Y. (2008). GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. Journal of Geodesy, 82(12), 847862. doi:10.1007/s00190-008-0209-xGoogle Scholar
Feng, Y. and Li, B. (2008). A benefit of multiple carrier GNSS signals: Regional scale network-based RTK with doubled inter-station distances. Journal of Spatial Science, 53(2), 135147. doi:10.1080/14498596.2008. 9635154Google Scholar
Fritsche, M., Dietrich, R., Knöfel, C., Rülke, A., and Vey, S. (2005). Impact of higher-order ionospheric terms on GPS estimates. Geophysical Research Letters, 32(23), 113133.Google Scholar
Kim, B.C. and Tinin, M.V. (2007a). Contribution of ionospheric irregularities to the error of dual-frequency GNSS positioning. Journal of Geodesy, 81(3), 189199. doi:10.1007/s00190-006-0099-8Google Scholar
Odolinski, R., Teunissen, P.J. and Odijk, D. (2015). Combined BDS, Galileo, QZSS and GPS single-frequency RTK. GPS Solutions, 19(1), 151163.Google Scholar
Shi, C., Zhao, Q., Hu, Z. and Liu, J. (2013). Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites. GPS Solutions, 17(1), 103119. doi:10.1007/s10291-012-0264-xGoogle Scholar
Simsky, A. (2006). Three's the charm—triple-frequency combinations in future GNSS. Inside GNSS, 2006, 3841.Google Scholar
Wang, G., de Jong, K., Zhao, Q., Hu, Z. and Guo, J. (2014). Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solutions, 19(1), 129139. doi:10.1007/s10291-014-0374-8Google Scholar
Wang, K. and Rothacher, M. (2013). Ambiguity resolution for triple-frequency geometry-free and ionosphere-free combination tested with real data. Journal of Geodesy, 87(6), 539553. doi:101007/s00190-013-0630-7Google Scholar
Wang, Z., Wu, Y., Zhang, K. and Meng, Y. (2005). Triple-frequency method for high-order ionospheric refractive error modeling in GPS modernization. Journal of Global Positioning Systems, 4, 291295.Google Scholar
Wanninger, L. and Beer, S. (2014). BeiDou satellite-induced code pseudorange variations: diagnosis and therapy. GPS Solutions, 19(4), 639648. doi:10.1007/s10291-014-0423-3.Google Scholar
Xia, L., Liu, J., Zhang, S. and Deng, Y. (1999). Analysis on code multipath mitigation by phase-aided smoothing. Geo-Spatial Information Science, 2(1), 7377.Google Scholar
Zhang, F., He, H., Tang, B., Shen, F. and Chen, R. (2013). Analysis of signal characteristics and positioning performance affected by pseudorange multipath for COMPASS. In: Sun, J, Jiao, W, Wu, H, Shi, C (eds) Proceedings of China satellite navigation conference (CSNC) 2013, Lecture notes in electrical engineering, vol 243, 15–17 May, Wuhan. Springer, Berlin Heidelberg, 493–503.Google Scholar
Zhang, X. and Ding, L. (2013). Quality analysis of the second generation compass observables and stochastic model refining. Geomatics & Information Science of Wuhan University, 38(6), 832836Google Scholar
Zhao, Q., Wang, G., Liu, Z., Hu, Z., Dai, Z. and Liu, J. (2016). Analysis of BeiDou Satellite Measurements with Code Multipath and Geometry-Free Ionosphere-Free Combinations. Sensors, 16, 123. doi:10.3390/s16010123Google Scholar
Zhao, W., Zhao, N., Zhao, H. and Zhao, J. (2013b). Analysis of the Pseudorange Multipath Impact jion Dual-Frequency Ionospheric Delay Correction in Compass System. In: Sun, J, Jiao, W, Wu, H, Shi, C (eds) Proceedings of China Satellite Navigation Conference (CSNC) 2013, Lecture notes in electrical engineering, vol 243, 15–17 May, Wuhan, 355365.Google Scholar