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NAVIGATION: Journal of the Institute of Navigation

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Research ArticleOriginal Article
Open Access

Extending the Real-Time Kinematics Survey Method to Global Navigation Satellite System-Denied Areas Using a Low-Cost Inertial-Aided Positioning Pole

Changxin Lai, Ruonan Guo, Qijin Chen and Xiaoji Niu
NAVIGATION: Journal of the Institute of Navigation September 2023, 70 (3) navi.584; DOI: https://doi.org/10.33012/navi.584
Changxin Lai
1GNSS Research Center, Wuhan University, China
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Ruonan Guo
2School of Geodesy and Geomatics, Wuhan University, China
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Qijin Chen
1GNSS Research Center, Wuhan University, China
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  • For correspondence: [email protected]
Xiaoji Niu
1GNSS Research Center, Wuhan University, China
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  • FIGURE 1
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    FIGURE 1

    Illustration of the typical motion of the positioning pole manipulated as a walking stick. In phase 2, the pole tip maintains contact with the solid ground with a velocity of zero.

  • FIGURE 2
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    FIGURE 2

    Basic schematic of the algorithm for the proposed RTK extension solution

  • FIGURE 3
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    FIGURE 3

    Comparison of the velocity of INS and the pole tip when the pole is manipulated as a walking stick. Note that the pole tip landing on the ground is nearly stationary, while the INS mounted on the middle of the pole keeps moving.

  • FIGURE 4
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    FIGURE 4

    The inertial-aided positioning pole with a trigger that detects ground contact

  • FIGURE 5
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    FIGURE 5

    Diagram of the designed trajectories with three different shapes through the GNSS-denied area

  • FIGURE 6
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    FIGURE 6

    Comparison of the INS navigation errors using four different data processing modes. Assistance for RTK positioning is available at the beginning and end for only a few seconds.

  • FIGURE 7
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    FIGURE 7

    INS result aided by LA-ZUPT and RTK positioning with heading convergence at the end. The assistance of RTK positioning is available not only at the beginning but also at the end. Sufficient maneuvering will be required to facilitate the convergence of the INS heading.

  • FIGURE 8
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    FIGURE 8

    The positioning error of the proposed RTK extension solution in Cases 1–5

  • FIGURE 9
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    FIGURE 9

    Correlation of positioning accuracy with GNSS gap length

  • FIGURE 10
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    FIGURE 10

    Horizontal positioning error distribution in Cases 5–7

  • FIGURE 11
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    FIGURE 11

    The positioning error of the RTK extension solution with a back-and-forth combination in Cases 1–5

  • FIGURE 12
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    FIGURE 12

    Correlation of positioning accuracy with GNSS gap length

  • FIGURE 13
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    FIGURE 13

    Correlation of positioning accuracy with walking distance in the GNSS-denied area

Tables

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    TABLE 1

    Data Processing Cases Collected for this Study

    IndexShape of trajectoryGNSS gap lengthRepetitionsResult
    Group 1
    Result
    Group 2
    Case 1I shape100 m30•
    Case 2I shape80 m30•
    Case 3I shape60 m30•
    Case 4I shape40 m30•
    Case 5I shape20 m30••
    Case 6L shape20 m19•
    Case 7U shape20 m17•
    • Note: The black dots in the two final columns means the corresponding case is added in the Result Group.

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    TABLE 2

    Positioning Errors of the Target Point Measured by the Inertial Pole for Different GNSS Gap Lengths

    Unit: metersCase 1 (100 m)Case 2 (80 m)Case 3 (60 m)Case 4 (40 m)Case 5 (20 m)
    NEHNEHNEHNEHNEH
    RMSE0.0490.1540.0380.0310.1080.0290.0240.0610.0260.0220.0370.0210.0190.0190.014
    MEAN−0.005−0.0080.000−0.0020.015−0.003−0.0040.0140.007−0.0020.0110.003−0.0040.0070.001
    MAX0.1010.3910.0940.0590.3120.0610.0450.1590.0610.0310.1010.0630.0210.0350.027
    • Note: N denotes north, E denotes east and H denotes height.

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    TABLE 3

    Positioning Errors of the Target Point Measured by the Inertial Pole with Different Trajectory Shapes

    Unit: metersCase 5 (I-shaped)Case 6 (L-shaped)Case 7 (U-shaped)
    NEHNEHNEH
    RMSE0.0190.0190.0140.0530.0560.0260.0380.1110.047
    MEAN−0.0040.0070.0010.033−0.0490.021−0.017−0.083−0.014
    MAX0.0210.0350.0270.110.0940.0460.0820.2610.106
    • View popup
    TABLE 4

    Positioning Errors of the Target Point Measured by the Inertial Pole with the Back-and-Forth Combination

    Unit: metersCase 1 (100 m)Case 2 (80 m)Case 3 (60 m)Case 4 (40 m)Case 5 (20 m)
    NEHNEHNEHNEHNEH
    RMSE0.0110.0710.0280.0110.0590.0190.0080.0360.0150.0110.020.0130.0080.0140.009
    MEAN0.002−0.017−0.0140.0030.012−0.011−0.0010.010.0030.0020.0090.0000.0010.0080.001
    MAX0.0230.1120.0240.0180.1520.0130.0130.0890.0260.020.0460.0250.0130.0250.013

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NAVIGATION: Journal of the Institute of Navigation: 70 (3)
NAVIGATION: Journal of the Institute of Navigation
Vol. 70, Issue 3
Fall 2023
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Extending the Real-Time Kinematics Survey Method to Global Navigation Satellite System-Denied Areas Using a Low-Cost Inertial-Aided Positioning Pole
Changxin Lai, Ruonan Guo, Qijin Chen, Xiaoji Niu
NAVIGATION: Journal of the Institute of Navigation Sep 2023, 70 (3) navi.584; DOI: 10.33012/navi.584

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Extending the Real-Time Kinematics Survey Method to Global Navigation Satellite System-Denied Areas Using a Low-Cost Inertial-Aided Positioning Pole
Changxin Lai, Ruonan Guo, Qijin Chen, Xiaoji Niu
NAVIGATION: Journal of the Institute of Navigation Sep 2023, 70 (3) navi.584; DOI: 10.33012/navi.584
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Keywords

  • consumer-grade IMU
  • GNSS-denied positioning
  • inertial-aided positioning pole
  • RTK survey
  • zero velocity update

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