Triangle AR of Long-Range Network RTK Based on Failure Rate

Zhang Ming, Liu Hui, Fan Chengcheng, Zhou Peng, Li Zuohu

Abstract: Triangle ambiguities closure error (TACE, it means the closure error of ambiguities of a triangle’s three baselines which is equal to zero) test is one of the most important validation methods for reference stations AR. Moreover, there must be two fixed baselines of a triangle at least for interpolating or modeling the atmosphere error for rover stations. So, it has better fix the multiple reference stations network in units of triangle. However, even though the TACE test is passed, the integer ambiguity solutions could still be wrong. The simplest method to solve this problem is further checking the success rate of each baseline with an empirical threshold value of 99.9% even 99.99%. But it is not necessary to set the threshold value to so big because the ambiguities have passed the TACE test, so it makes the validation become over-rigid which lead to reduction of AR speed with nonsense. Though the threshold value can be tuned, it is hard to set the threshold value in reason to control the failure rate. We proposed another approach in this paper, the failure rate under conditions of that the ambiguities have passed the TACE test is calculated, it is more reasonable and the reduction of AR speed is avoided. In this paper, GPS data of 5 stations is tested, the result demonstrated that the ambiguities could still be wrong even if they pass the TACE test; the average AR speed of the method based on failure rate test improve about 10.4% compared with that based on success rate test, furthermore the successful fixing rate is guaranteed.
Published in: Proceedings of the 27th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2014)
September 8 - 12, 2014
Tampa Convention Center
Tampa, Florida
Pages: 60 - 68
Cite this article: Ming, Zhang, Hui, Liu, Chengcheng, Fan, Peng, Zhou, Zuohu, Li, "Triangle AR of Long-Range Network RTK Based on Failure Rate," Proceedings of the 27th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2014), Tampa, Florida, September 2014, pp. 60-68.
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