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An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution.

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The Fixed Failure-rate Ratio Test (FFRT) improves Global Navigation Satellite System (GNSS) positioning by providing better critical values for integer ambiguity resolution. This method reduces errors and increases successful fixes, outperforming traditional ratio tests.

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Area of Science:

  • Geomatics Engineering
  • Satellite Navigation Systems
  • Geodetic Surveying

Background:

  • Accurate Global Navigation Satellite System (GNSS) positioning relies on successful integer ambiguity resolution (AR).
  • Incorrectly fixed ambiguities lead to significant positioning errors, necessitating robust validation methods.
  • The traditional ratio test is widely used but lacks adaptability to specific failure rate tolerances.

Purpose of the Study:

  • To introduce easy-to-implement fitting functions for calculating critical values in the Fixed Failure-rate Ratio Test (FFRT).
  • To enable users to define tolerable failure rates for AR validation.
  • To provide fitting functions for evaluating the conditional success rate of AR.

Main Methods:

  • Massive Monte Carlo simulations were conducted to generate fitting functions for various tolerable failure rates.
  • Fitting functions for the fix rate were developed to assess conditional success rates.
  • Simulations and a real-world experiment were used to compare FFRT with the traditional ratio test.

Main Results:

  • Provided fitting functions for calculating FFRT critical values across a range of user-defined failure rates.
  • Enabled the evaluation of conditional success rates for the first time.
  • FFRT demonstrated superior control over failure rates and reduced false alarms compared to the traditional ratio test.
  • Real-world data showed FFRT achieved up to 30% higher fix rates with comparable positioning accuracy over a 182.7 km baseline.

Conclusions:

  • FFRT offers enhanced reliability in GNSS positioning by providing adaptable critical values for AR.
  • The developed fitting functions simplify the application of FFRT, allowing for tailored AR validation.
  • FFRT significantly improves fix rates and prevents false alarms, leading to more dependable precise positioning solutions.