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Research ArticleRegular Papers
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On Enhanced PPP with Single Difference Between-Satellite Ionospheric Constraints

Yan Xiang, Xin Chen, Ling Pei, Yiran Luo, Yang Gao, and Wenxian Yu
NAVIGATION: Journal of the Institute of Navigation March 2022, 69 (1) navi.505; DOI: https://doi.org/10.33012/navi.505
Yan Xiang
1Shanghai Jiao Tong University
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  • For correspondence: [email protected]
Xin Chen
1Shanghai Jiao Tong University
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Ling Pei
1Shanghai Jiao Tong University
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Yiran Luo
2Hong Kong Polytechnic University
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Yang Gao,
3University of Calgary
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Wenxian Yu
1Shanghai Jiao Tong University
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  • FIGURE 1
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    FIGURE 1

    Applying ionospheric constraints from the server end to a user end

  • FIGURE 2
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    FIGURE 2

    Geographic distribution of the selected 130 stations in red circles; test station CIT1 is represented using a blue triangle.

  • FIGURE 3
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    FIGURE 3

    STDs of the SDBS-ION method for each station against the distance to station CIT1 and the geographic distribution of the STDs for single differences between satellites

  • FIGURE 4
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    FIGURE 4

    Time series of ionospheric observables and the corresponding formal precision estimated in the basic UPPP model; each color represents each satellite.

  • FIGURE 5
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    FIGURE 5

    Time series of position errors at horizontal, vertical, and 3D accuracy of CIT1 on March 16, 2015, based on the basic UPPP model; sessions were processed every hour.

  • FIGURE 6
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    FIGURE 6

    Time series of ionospheric observables and the corresponding formal precision estimated in the direct-but-biased ionospheric constrained UPPP model. In the right panel, the yellow cross line on the right axis represents the corresponding elevation to the satellite in the upper blue line.

  • FIGURE 7
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    FIGURE 7

    Receiver DCBs and the corresponding formal precision estimated in the direct-but-biased ionospheric constrained UPPP model; each color represents each satellite.

  • FIGURE 8
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    FIGURE 8

    Time series of position errors at horizontal, vertical, and 3D accuracy of CIT1. The red represents the basic UPPP model. The blue is from the constrained UPPP model with the direct-but-biased ionospheric observables.

  • FIGURE 9
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    FIGURE 9

    Time series of ionospheric observables and the corresponding formal precision estimated in the SDBS-ION constrained UPPP model

  • FIGURE 10
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    FIGURE 10

    Time series of position errors at horizontal, vertical, and 3D accuracy of CIT1; the red is from the directly constrained UPPP model, and the blue is from the SDBS-ION constrained UPPP model.

  • FIGURE 11
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    FIGURE 11

    2D and 3D position errors for CIT1 using the direct ionospheric constraints and SDBS-ION constraints at different distances

  • FIGURE 12
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    FIGURE 12

    Convergence time to 0.1 m horizontally and 0.2 m at vertical for CIT1 using the direct ionospheric constraints and the SDBS-ION constraints at different distances

  • FIGURE 13
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    FIGURE 13

    Geographic distribution of a three-station network

  • FIGURE 14
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    FIGURE 14

    Time series of position error at horizontal, vertical, and 3D accuracy of CIT1 using ionospheric constraints from a single station P589 and a three-station network

  • FIGURE 15
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    FIGURE 15

    Improved percentage of the ionospheric estimate variance against time

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NAVIGATION: Journal of the Institute of Navigation: 69 (1)
NAVIGATION: Journal of the Institute of Navigation
Vol. 69, Issue 1
Spring 2022
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On Enhanced PPP with Single Difference Between-Satellite Ionospheric Constraints
Yan Xiang, Xin Chen, Ling Pei, Yiran Luo, Yang Gao,, Wenxian Yu
NAVIGATION: Journal of the Institute of Navigation Mar 2022, 69 (1) navi.505; DOI: 10.33012/navi.505

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On Enhanced PPP with Single Difference Between-Satellite Ionospheric Constraints
Yan Xiang, Xin Chen, Ling Pei, Yiran Luo, Yang Gao,, Wenxian Yu
NAVIGATION: Journal of the Institute of Navigation Mar 2022, 69 (1) navi.505; DOI: 10.33012/navi.505
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    • 1 INTRODUCTION
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    • 3 RESULTS AND DISCUSSION
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Keywords

  • between-satellite ionospheric constraints
  • biased ionospheric observables
  • constrained UPPP model
  • precise point positioning (PPP)
  • SDBS-ION
  • uncombined PPP (UPPP)

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