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Sensors 2016, 16(7), 945;

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

College of Aerospace Science and Engineering, National University of Defense Technology, Deya Road 109, Kaifu District, Changsha 410073, China
Faculty of Civil Engineering and Geosciences, Delft University of Technology, Stevinweg 1, Delft 2628 CN, The Netherlands
Authors to whom correspondence should be addressed.
Received: 24 April 2016 / Revised: 10 June 2016 / Accepted: 20 June 2016 / Published: 23 June 2016
(This article belongs to the Section Remote Sensors)
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Ambiguity Resolution (AR) plays a vital role in precise GNSS positioning. Correctly-fixed integer ambiguities can significantly improve the positioning solution, while incorrectly-fixed integer ambiguities can bring large positioning errors and, therefore, should be avoided. The ratio test is an extensively used test to validate the fixed integer ambiguities. To choose proper critical values of the ratio test, the Fixed Failure-rate Ratio Test (FFRT) has been proposed, which generates critical values according to user-defined tolerable failure rates. This contribution provides easy-to-implement fitting functions to calculate the critical values. With a massive Monte Carlo simulation, the functions for many different tolerable failure rates are provided, which enriches the choices of critical values for users. Moreover, the fitting functions for the fix rate are also provided, which for the first time allows users to evaluate the conditional success rate, i.e., the success rate once the integer candidates are accepted by FFRT. The superiority of FFRT over the traditional ratio test regarding controlling the failure rate and preventing unnecessary false alarms is shown by a simulation and a real data experiment. In the real data experiment with a baseline of 182.7 km, FFRT achieved much higher fix rates (up to 30% higher) and the same level of positioning accuracy from fixed solutions as compared to the traditional critical value. View Full-Text
Keywords: GNSS; GPS; ambiguity resolution; ratio test; failure rate; fix rate GNSS; GPS; ambiguity resolution; ratio test; failure rate; fix rate

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hou, Y.; Verhagen, S.; Wu, J. An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution. Sensors 2016, 16, 945.

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