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

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 ext...

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Autores principales: Hou, Yanqing, Verhagen, Sandra, Wu, Jie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4969832/
https://www.ncbi.nlm.nih.gov/pubmed/27347949
http://dx.doi.org/10.3390/s16070945
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author Hou, Yanqing
Verhagen, Sandra
Wu, Jie
author_facet Hou, Yanqing
Verhagen, Sandra
Wu, Jie
author_sort Hou, Yanqing
collection PubMed
description 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.
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spelling pubmed-49698322016-08-04 An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution Hou, Yanqing Verhagen, Sandra Wu, Jie Sensors (Basel) Article 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. MDPI 2016-06-23 /pmc/articles/PMC4969832/ /pubmed/27347949 http://dx.doi.org/10.3390/s16070945 Text en © 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Hou, Yanqing
Verhagen, Sandra
Wu, Jie
An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title_full An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title_fullStr An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title_full_unstemmed An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title_short An Efficient Implementation of Fixed Failure-Rate Ratio Test for GNSS Ambiguity Resolution
title_sort efficient implementation of fixed failure-rate ratio test for gnss ambiguity resolution
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4969832/
https://www.ncbi.nlm.nih.gov/pubmed/27347949
http://dx.doi.org/10.3390/s16070945
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