Ambiguity validation with combined ratio test and ellipsoidal integer aperture estimator

Shengyue Ji, Wu Chen, Xiaoli Ding, Yongqi Chen, Chunmei Zhao, Congwei Hu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

25 Citations (Scopus)


To ensure reliable ambiguity resolution, ambiguity validation is an indispensable step. It has been a challenge for many years and is far from being resolved. Over the past years, various ambiguity validation methods have been proposed, such as F-ratio test, R-ratio test, difference test, projector test, ellipsoidal integer aperture (EIA) estimator and penalized integer aperture (PIA) estimator. In this paper, through analysis and testing, we find that, when the aperture region of EIA is not allowed to be overlapped, the efficiency of ambiguity resolution with EIA is low and it is not applicable to fast static positioning or real-time kinematic (RTK) applications. Then EIA with overlapped aperture regions is recommended and the resulted fail-rate becomes upper bound of the actual one. After that, it is suggested that combined use of overlapped EIA and R-ratio test can increase the reliability of ambiguity resolution. Finally, numerical tests are carried out based on practical buoy data and simulated Galileo data.
Original languageEnglish
Pages (from-to)597-604
Number of pages8
JournalJournal of Geodesy
Issue number10
Publication statusPublished - 12 Aug 2010


  • Ambiguity resolution validation
  • EIA
  • Fail-rate
  • GPS
  • R-ratio test
  • Success rate

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Computers in Earth Sciences


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