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Simultaneous estimation of GLONASS pseudorange inter-frequency biases in precise point positioning using undifferenced and uncombined observations

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Abstract

GLONASS precise point positioning (PPP) performance is affected by the inter-frequency biases (IFBs) due to the application of frequency division multiple access technique. In this contribution, the impact of GLONASS pseudorange IFBs on convergence performance and positioning accuracy of GLONASS-only and GPS + GLONASS PPP based on undifferenced and uncombined observation models is investigated. Through a re-parameterization process, the following four pseudorange IFB handling schemes were proposed: neglecting IFBs, modeling IFBs as a linear or quadratic polynomial function of frequency number, and estimating IFBs for each GLONASS satellite. One week of GNSS observation data from 132 International GNSS Service stations was selected to investigate the contribution of simultaneous estimation of GLONASS pseudorange IFBs on GLONASS-only and combined GPS + GLONASS PPP in both static and kinematic modes. The results show that considering IFBs can speed up the convergence of PPP using GLONASS observations by more than 20%. Apart from GLONASS-only kinematic PPP, the positioning accuracy of GLONASS-only and GPS + GLONASS PPP is comparable among the four schemes. Overall, the scheme of estimating IFBs for each GLONASS satellite outperforms the other schemes in both convergence time reduction and positioning accuracy improvement, which indicates that the GLONASS IFBs may not strictly obey a linear or quadratic function relationship with the frequency number.

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Abbreviations

PPP:

Precise point positioning

GNSS:

Global Navigation Satellite System

GPS:

Global Positioning System

BDS:

BeiDou Navigation Satellite System

IFB:

Inter-frequency bias

UCD:

Uncalibrated code delay

UPD:

Uncalibrated phase delay

DCB:

Differential code bias

PRN:

Pseudo-random noise

IGS:

International GNSS service

MGEX:

Multi-GNSS experiment

CODE:

Center for orbit determination in Europe

ESA:

European Space Agency

ISB:

Inter-system bias

ISFB:

Inter-system and inter-frequency bias

DOY:

Day of year

PANDA:

Positioning and navigation data analyst

GDOP:

Geometric dilution of precision

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Acknowledgements

Feng Zhou is financially supported by the China Scholarship Council (CSC) for his study at the German Research Centre for Geosciences (GFZ). We would like to thank the IGS for providing GNSS ground tracking data, DCB, precise orbit and clock products. The figures were generated using the public domain Generic Mapping Tools (GMT) software (Wessel et al. 2013). This work is sponsored by the National Key R&D Program of China (No. 2017YFE0100700), the National Natural Science Foundation of China (Nos. 61372086 and 41771475) and the Science and Technology Commission of Shanghai (Nos. 13511500300 and 15511101602).

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Authors and Affiliations

  1. Engineering Center of SHMEC for Space Information and GNSS, East China Normal University, No. 500 Dongchuan Road, Shanghai, 200241, China

    Feng Zhou & Danan Dong

  2. Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University, No. 500 Dongchuan Road, Shanghai, 200241, China

    Feng Zhou & Danan Dong

  3. German Research Centre for Geosciences GFZ, Telegrafenberg, 14473, Potsdam, Germany

    Feng Zhou, Maorong Ge, Pan Li, Jens Wickert & Harald Schuh

  4. School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, 430079, China

    Pan Li

  5. Technische Universität Berlin, 10623, Berlin, Germany

    Jens Wickert & Harald Schuh

Authors
  1. Feng Zhou
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  2. Danan Dong
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  3. Maorong Ge
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  4. Pan Li
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  6. Harald Schuh
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Correspondence to Feng Zhou or Pan Li.

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Zhou, F., Dong, D., Ge, M. et al. Simultaneous estimation of GLONASS pseudorange inter-frequency biases in precise point positioning using undifferenced and uncombined observations. GPS Solut 22, 19 (2018). https://doi.org/10.1007/s10291-017-0685-7

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