Abstract

The benefits of an increased number of global navigation satellite systems (GNSS) in space have been confirmed for the robustness and convergence time of standard precise point positioning (PPP) solutions, as well as improved accuracy when (most of) the ambiguities are fixed. Yet, it is still worthwhile to investigate fast and high-precision GNSS parameter estimation to meet user needs. This contribution focuses on integer ambiguity resolution-enabled Precise Point Positioning (PPP-RTK) in the use of the observations from four global navigation systems, i.e., GPS (Global Positioning System), Galileo (European Global Navigation Satellite System), BDS (Chinese BeiDou Navigation Satellite System), and GLONASS (Global’naya Navigatsionnaya Sputnikova Sistema). An undifferenced and uncombined PPP-RTK model is implemented for which the satellite clock and phase bias corrections are computed from the data processing of a group of stations in a network and then provided to users to help them achieve integer ambiguity resolution on a single receiver by calibrating the satellite phase biases. The dataset is recorded in a local area of the GNSS network of the Netherlands, in which 12 stations are regarded as the reference to generate the corresponding corrections and 21 as the users to assess the performance of the multi-GNSS PPP-RTK in both kinematic and static positioning mode. The results show that the root-mean-square (RMS) errors of the ambiguity float solutions can achieve the same accuracy level of the ambiguity fixed solutions after convergence. The combined GNSS cases, on the contrary, reduce the horizontal RMS of GPS alone with 2 cm level to GPS + Galileo/GPS + Galileo + BDS/GPS + Galileo + BDS + GLONASS with 1 cm level. The convergence time benefits from both multi-GNSS and fixing ambiguities, and the performances of the ambiguity fixed solution are comparable to those of the multi-GNSS ambiguity float solutions. For instance, the convergence time of GPS alone ambiguity fixed solutions to achieve 10 cm three-dimensional (3D) positioning accuracy is 39.5 min, while it is 37 min for GPS + Galileo ambiguity float solutions; moreover, with the same criterion, the convergence time of GE ambiguity fixed solutions is 19 min, which is better than GPS + Galileo + BDS + GLONASS ambiguity float solutions with 28.5 min. The experiments indicate that GPS alone occasionally suffers from a wrong fixing problem; however, this problem does not exist in the combined systems. Finally, integer ambiguity resolution is still necessary for multi-GNSS in the case of fast achieving very-high-accuracy positioning, e.g., sub-centimeter level.

Highlights

  • Global navigation satellite systems (GNSS) are widely used in scientific and industrial applications for providing positioning, navigation, and timing services on a worldwide basis [1,2]

  • The performances of the multi-GNSS precise point positioning (PPP)-RTK are assessed since both multi constellations and integer ambiguity resolution bring with them improvements in productivity and efficiency

  • Such improvements are marginal when more GNSS systems are included, for example, around 30% improvement of the 3D ambiguity float solutions can be seen from G with 4.32 cm to GE with 2.99 cm; only 15% from GEC with 2.98 cm to GECR with 2.52 cm

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Summary

Introduction

Global navigation satellite systems (GNSS) are widely used in scientific and industrial applications for providing positioning, navigation, and timing services on a worldwide basis [1,2]. Since the core of fast and high-accuracy PPP positioning is the ability to fix carrier phase ambiguities, this study focuses on the phase bias estimation according to the GPS (G), Galileo (E), BDS (C), and GLONASS (R) four-system observable model to achieve the multi-GNSS integer ambiguity resolution. The contribution of the multi-GNSS observations to ambiguity resolution is investigated, and performances of positioning accuracy and convergence time are evaluated and compared to that achieved with a single or combined constellation. This study carefully models the inter-system bias which would result in a catastrophic failure of integer ambiguity resolution if it is ignored in multi-GNSS data processing; rigorous algorithms are needed to link and integrate multi-GNSS observations to the estimable of interest In this case, this study describes and analyzes the physical interpretation of the parameters being estimated.

PPP-RTK Model
Results and Analysis
Kinematic Positioning Accuracy
G GE GEC GECR
Convergence Time of the Kinematic Positioning Mode
Convergence Time of the Static Positioning Mode
Discussions
Conclusions
Full Text
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