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Research ArticleOriginal Article
Open Access

Deriving Accurate Time from Assisted GNSS Using Extended Ambiguity Resolution

Ryan Blay, Boyi Wang and Dennis M. Akos
NAVIGATION: Journal of the Institute of Navigation March 2021, 68 (1) 217-229; DOI: https://doi.org/10.1002/navi.412
Ryan Blay
1Department of Aerospace Engineering Sciences, University of Colorado Boulder, Colorado, USA
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Boyi Wang
1Department of Aerospace Engineering Sciences, University of Colorado Boulder, Colorado, USA
2School of Electronic Information and Communications, Huazhong University of Science and Technology, Hubei, China
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  • For correspondence: [email protected]
Dennis M. Akos
1Department of Aerospace Engineering Sciences, University of Colorado Boulder, Colorado, USA
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  • FIGURE 1
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    FIGURE 1

    First sample time error w.r.t ambiguity time

  • FIGURE 2
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    FIGURE 2

    Cumulative distribution function of ambiguity time of convergence

  • FIGURE 3
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    FIGURE 3

    Coarse time DOP w.r.t ambiguity time of convergence

  • FIGURE 4
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    FIGURE 4

    2-D histogram of coarse time DOP and ambiguity time of convergence

  • FIGURE 5
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    FIGURE 5

    The logarithm of CTDOP w.r.t number of satellites

  • FIGURE 6
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    FIGURE 6

    Histogram of number of satellites

  • FIGURE 7
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    FIGURE 7

    Probability distribution of first sample time error

  • FIGURE 8
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    FIGURE 8

    GPS navigation message structure

  • FIGURE 9
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    FIGURE 9

    Proposed algorithm

  • FIGURE 10
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    FIGURE 10

    Schematic of the proposed method

  • FIGURE 11
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    FIGURE 11

    Detected parity check points within 61 bits, 91 bits, and 121 bits, obtained by Monte-Carlo simulation with random data

  • FIGURE 12
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    FIGURE 12

    Detected parity check points within 91 and 121 bits and have 30 bits separations, obtained by Monte-Carlo simulation with random data

Tables

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    TABLE 1

    Probability of having converged given ambiguity time

    Ambiguity Time (millisecond)102050100150200
    Convergence Prob. (%)2.113.057.591.296.999.0
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    TABLE 2

    False alarm probability obtained by MC simulation when considering 30 bits separations

    Number of detected groups123 or more
    91 random bits0.70 %0.01 %0.01 %
    121 random bits1.37 %0.04 %0.04 %
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    TABLE 3

    False alarm probability obtained by live data test

    PRN19122624
    FA prob. for finding 1 fag2.89 %2.68 %2.91 %2.22 %2.60 %
    FA prob. for finding 2 cont. flags0 %0.01 %0.08 %0 %0 %
    FA prob. for finding 3 cont. flags0 %0 %0 %0 %0 %
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NAVIGATION: Journal of the Institute of Navigation: 68 (1)
NAVIGATION: Journal of the Institute of Navigation
Vol. 68, Issue 1
Spring 2021
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Deriving Accurate Time from Assisted GNSS Using Extended Ambiguity Resolution
Ryan Blay, Boyi Wang, Dennis M. Akos
NAVIGATION: Journal of the Institute of Navigation Mar 2021, 68 (1) 217-229; DOI: 10.1002/navi.412

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Deriving Accurate Time from Assisted GNSS Using Extended Ambiguity Resolution
Ryan Blay, Boyi Wang, Dennis M. Akos
NAVIGATION: Journal of the Institute of Navigation Mar 2021, 68 (1) 217-229; DOI: 10.1002/navi.412
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  • Article
    • Abstract
    • 1 INTRODUCTION
    • 2 REVIEW OF A-GNSS RECEIVER
    • 3 IMPACT OF DIFFERENT AMBIGUITY TIMES
    • 4 SAMPLE SOLUTION
    • 5 CONCLUSION
    • HOW TO CITE THIS ARTICLE
    • REFERENCES
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