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Evaluation of Triple-Frequency GPS/Galileo/Beidou Kinematic Precise Point Positioning Using Real-Time CNES Products for Maritime Applications Cover

Evaluation of Triple-Frequency GPS/Galileo/Beidou Kinematic Precise Point Positioning Using Real-Time CNES Products for Maritime Applications

Open Access
|Jan 2024

Figures & Tables

Figure 1.

Vessel trajectory
Vessel trajectory

Figure 2.

Number of tracked satellites (left) and PDOP values (right)
Number of tracked satellites (left) and PDOP values (right)

Figure 3.

Positioning errors in longitude, latitude, and altitude, respectively, for dual-frequency real-time PPP solutions
Positioning errors in longitude, latitude, and altitude, respectively, for dual-frequency real-time PPP solutions

Figure 4.

Positioning errors in longitude, latitude, and altitude, respectively, for triple-frequency real-time PPP solutions
Positioning errors in longitude, latitude, and altitude, respectively, for triple-frequency real-time PPP solutions

Figure 5.

Distribution of the differences between the dual-frequency PPP solutions and the differential solution in the three components
Distribution of the differences between the dual-frequency PPP solutions and the differential solution in the three components

Figure 6.

Distribution of the differences between the triple-frequency PPP solutions and the differential solution in the three components
Distribution of the differences between the triple-frequency PPP solutions and the differential solution in the three components

Figure 7.

STD of the PPP solutions in the three positioning components
STD of the PPP solutions in the three positioning components

Figure 8.

STD of the 2D position for the proposed PPP solutions
STD of the 2D position for the proposed PPP solutions

Processing parameters for both PPP and differential solutions

ParameterPPP solutionDifferential solution
Dual frequencyTriple frequency
GNSS systemG, E, CG, E, CG
ObservationsCode and phaseCode and phaseCode and phase
Mathematical modelUndifferenced ionosphere-freeUndifferenced ionosphere-freeDifferenced
Frequency
  • G: L1/L2

  • E: E1/E5a

  • C: B1/B2

  • G: L1/L2/L5

  • E: E1/E5a /E5b

  • C: B1/B2/B3

L1/L2
Sampling rate1 Hz1 Hz1 Hz
Elevation mask10°10°10°
Orbit and clockCNES (RT)CNES (RT)IGS (final)
Tropospheric modelSaastamoinen model
Mapping functionVienna mapping function 1 (VMF-1)
Parameter estimationKalman filter

IMO accuracy requirements for GNSS positioning (IMO, 2002)

Navigation phaseHorizontal accuracy (m)Integrity
Alert limit (m)Time to alarm (seconds)Integrity risk (per 3 h)
Ocean10251010−5
Coastal10251010−5
Port approach10251010−5
Inland waterways10251010−5
Track control10251010−5
In port navigation12.51010−5
Automatic docking0.10.251010−5

Maximum 2D position error and 2D RMSE at 95% confidence for the PPP solutions

PPP solutionStatistical parameter (m)PPP solutionStatistical parameter
Maximum RMSE95%2D {\bf {RMSE}}_{{\bf {95\% }}}^{{\bf {2D}}} Maximum RMSE95%2D {\bf {RMSE}}_{{\bf {95\% }}}^{{\bf {2D}}}
G-DF0.3460.420G-TF0.1620.265
GE-DF0.2150.242GE-TF0.1490.190
GC-DF0.2360.279GC-TF0.2430.314
GEC-DF0.1680.221GEC-TF0.2210.175

Statistical analysis of 2D position for different PPP solutions

PPP solutionStatistical parameter (m)PPP solutionStatistical parameter (m)
MeanRMSEMeanRMSE
G-DF0.1400.172G-TF0.1070.109
GE-DF0.0840.099GE-TF0.0730.078
GC-DF0.0970.115GC-TF0.1230.129
GEC-DF0.0640.085GEC-TF0.0920.068
DOI: https://doi.org/10.2478/arsa-2023-0012 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 314 - 329
Submitted on: Jan 14, 2023
Accepted on: Oct 24, 2023
Published on: Jan 19, 2024
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Mohamed Abdelazeem, Rahmi N. Çelik, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons Attribution 4.0 License.