Abstract

The multipath error is considered to be the most limiting factor for high precision positioning applications. The sidereal filtering (SF) method can be used to mitigate the multipath error in the observation domain, and it has been successfully applied in the multipath mitigation in global positioning systems (GPS) and regional BeiDou navigation satellite systems (BDS2). However, there are few reports on the SF method in other systems. The performance of the SF method relies on the explicit orbit repeat periods of satellites in diverse systems or even different types of constellations. It is therefore inconvenient to utilize the SF method for multi-GNSS multipath error mitigation. Alternatively, a space domain multipath error reduction method, which establishes the multi-point hemispherical grid model (MHGM) using the residuals of the double-differenced carrier phase observations in the ambiguity-fixed period, has been modified. It is an integrated model for multi-GNSS, without considering the diversity of different systems and constellations. To compare the performance of MHGM and SF from a multi-GNSS point of view, the determination method of orbit repeat periods via the broadcast ephemerides is summarized, and the SF method is extended to the global BeiDou navigation satellite system (BDS3) and Galileo navigation satellite system. Further test results show that the performance of MHGM and SF are comparable from the perspective of root mean squares (RMS) and the power spectrum analysis of double-differenced residuals, as well as the static positioning results. This implies that the space domain MHGM can obtain similar correction effects as the SF method in the observation domain, but the former is more flexible for modeling with various systems’ data. In addition, the established MHGM using the data of multi orbit periods demonstrates a better performance compared with that of only one orbit period, and an average improvement of 13.1% in the RMS of the double-differenced residuals can be achieved.

Highlights

  • The multipath effect refers to the phenomenon where signals from satellites arrive at the receiver antenna through multiple paths due to reflection and scattering

  • The inter-frequency bias should be estimated for ambiguity resolution because the frequency division multiple access (FDMA) signal mode is adopted in Global Navigation Satellite System (GLONASS), which leads to the application limitation of GLONASS in high-precision data processing [19]

  • In order to realize the application of the Sidereal filtering (SF) method in multi-global navigation satellite system (GNSS) multipath elimination, in this research, we analyzed the time shifts of orbit repeat periods for different systems from different days in 2018 and 2020

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Summary

Introduction

The multipath effect refers to the phenomenon where signals from satellites arrive at the receiver antenna through multiple paths due to reflection and scattering. Both pseudorange and carrier phase measurements are affected by it. The maximum value of multipath on phase measurements can reach 1/4 of the wavelength [1], so the influence should be considered when using global navigation satellite system (GNSS) technology to carry out high-precision data processing. In order to mitigate the multipath error, we can model it like some of the other errors in GNSS data processing. Some scholars [2,3] have found that the multipath error could be separated and modeled by using the periodic repetition characteristics of the satellite orbit, and the observations of the following days could

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