Abstract

This paper proposes an ambiguity resolution method using triple frequency for reference stations. Using the reference coordinate information, geometry based ambiguity resolution performance is analysed. Although orbit errors and tropospheric model errors still remain, wide lane ambiguity could be fixed in several epochs. However, the narrow lane wave length of about 10cm is too short to overcome error sources by simply combining the measurement. Therefore, we have divided the elevation angle into 5 degree intervals and investigated the measurement errors and the time to fix of each section. For high elevation satellites, it is possible to determine in several epochs by integer rounding. On the other hand, if the elevation is lower than 30 degrees, the tropospheric zenith delay must be estimated with ambiguities. The proposed algorithm estimates ambiguities and tropospheric zenith delay simultaneously utilizing ambiguity free observations of high elevation satellites. Ambiguities for high elevation satellites are resolved by integer rounding in several epochs. The algorithm has been verified by generating the simulated observation data for the ‘Cheon-an’ and ‘Boen’ reference stations in the Korea.

Highlights

  • Network RTK is one of the carrier phase differential GPS system, which broadcasts correction messages to users for providing cm level precise positioning

  • The time to fix is the minimum necessary epochs which the integer rounding success rate exceeds 99.7%. It shows that elevation higher than 30 degree could be fixed with integer rounding method without estimated troposphere delay

  • The integer rounding for high elevation satellites helps troposphere delay error estimation and it results other ambiguity resolution to be fastened

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Summary

INTRODUCTION

Network RTK is one of the carrier phase differential GPS system, which broadcasts correction messages to users for providing cm level precise positioning. Reference station need reduce the time to fix ambiguity. For reducing the time to fix ambiguities, many researchers have been studied. Two independent ambiguities, which have meter level wave lengths, could be fixed even if with integer rounding in several epochs. Studies have been assumed the measurement errors for several baseline lengths. In addition to previous researches, we have investigated measurement errors regarding to elevation angles in [4]. The errors depend on elevation angle as well as the baseline length. Utilization of measurement errors regarding to elevation angle, the time to fix for each interval was studied. The first case is that all GPS satellites transmit triple frequency signals. A case where only a part of satellites broadcasts triple signals is examined.

Geometry Based
Algorithm for low elevation satellites
Time to fix for each ambiguity
Without integer rounding for high elevation
The application of integer rounding for high elevation
Conclusion
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