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Summary
This summary is machine-generated.

This study introduces unified mathematical models for multi-frequency and multi-system biases in precise point positioning. Results show triple-frequency models perform similarly to dual-frequency, supporting their use for improved convergence.

Keywords:
inter-frequency clock biasinter-system clock biasmulti-frequencymulti-systemprecise point positioning

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Area of Science:

  • Geodesy and Geomatics
  • Satellite Navigation Systems
  • Precise Point Positioning (PPP)

Background:

  • Multi-frequency and multi-system Global Navigation Satellite System (GNSS) are crucial for precise point positioning (PPP).
  • Existing models do not systematically address the new biases introduced by multi-frequency and multi-system observations.
  • These biases, including inter-frequency clock bias and inter-system clock bias, impact positioning accuracy.

Purpose of the Study:

  • To develop unified mathematical models for inter-frequency and inter-system clock biases in multi-GNSS PPP.
  • To analyze the influence of these biases on positioning performance.
  • To evaluate different observation models combining frequencies and systems.

Main Methods:

  • Analysis of general observation equations to derive unified bias models.
  • Experimental validation of bias influences using corresponding observation models.
  • Assessment of positioning performance using Multi-Global Navigation Satellite System (GNSS) Experiment (MGEX) data from five global stations.

Main Results:

  • Triple-frequency PPP models demonstrate positioning performance comparable to dual-frequency models.
  • The unified bias models provide a consistent framework for understanding multi-system and multi-frequency errors.
  • Experimental results validate the proposed mathematical models and their impact.

Conclusions:

  • Triple-frequency solutions offer comparable performance to dual-frequency solutions in PPP.
  • The study provides scientific support for the enhanced convergence characteristics of triple-frequency ambiguity-fixed solutions.
  • The unified bias models serve as a valuable reference for future research in multi-frequency and multi-system PPP.