Abstract

Reliable and accurate carrier phase ambiguity resolution is the key to high-precision Global Navigation Satellite System (GNSS) positioning and application. With the fast development of modern GNSS, the increased number of satellites and ambiguities makes it hard to fix all ambiguities completely and correctly. The partial ambiguity fixing technique, which selects a suitable subset of high-dimensional ambiguities to fix, is beneficial for improving the fixed success rate and reliability of ambiguity resolution. In this contribution, the bootstrapping success rate, bounded fixed-failure ratio test, and the new defined baseline precision defect are used for the selection of the ambiguity subset. Then a model and data dual-driven partial ambiguity resolution method is proposed with the above three checks imposed on it, which is named the Triple Checked Partial Ambiguity Resolution (TC-PAR). The comprehensive performance of TC-PAR compared to the full-fixed LAMBDA method is also analyzed based on several criteria including the fixed rate, the fixed success rate and correct fixed rate of ambiguity as well as the precision defect and RMS of the baseline solution. The results show that TC-PAR could significantly improve the fixed success rate of ambiguity, and it has a comparable baseline precision to the LAMBDA method, both of which are at centimeter level after ambiguities are fixed.

Highlights

  • With the gradual updating and construction of the four global navigation satellite systems, the number of satellites in orbit will reach more than 100 in the future, and the frequency of navigation signals will increase to three or even more, providing users with more observation information, which will greatly improve the precision, reliability, and availability of satellite navigation and positioning services [1]

  • With an increased number of satellite observation equations, the float ambiguities will have higher precision and be easier to fix accurately. This will inevitably lead to an increase in the ambiguity resolution dimension at the same time, which will increase the risk of fixing all ambiguities, possibly reducing the fixed success rate

  • We have identified the usage of the ambiguity subset

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Summary

Introduction

With the gradual updating and construction of the four global navigation satellite systems, the number of satellites in orbit will reach more than 100 in the future, and the frequency of navigation signals will increase to three or even more, providing users with more observation information, which will greatly improve the precision, reliability, and availability of satellite navigation and positioning services [1]. Integer ambiguity resolution is the key problem in achieving high-precision positioning of the GNSS. With an increased number of satellite observation equations, the float ambiguities will have higher precision and be easier to fix accurately. This will inevitably lead to an increase in the ambiguity resolution dimension at the same time, which will increase the risk of fixing all ambiguities, possibly reducing the fixed success rate. Resolution (PAR), which only fixes a suitable subset of the high-dimensional ambiguity set, may be a better choice.

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