Journal of Navigation and Port Research (한국항해항만학회지)

Korean Institute of Navigation and Port Research (한국항해항만학회)
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A Comparative Analysis of Performance of Ambiguity Validation Methods

미지정수 후보 타당성 검정 기법간의 비교 분석

  • Ko, Jae-Young (Marine Safety Research Division, Korea Research Institute of Ships & Ocean Engineering (KRISO)) ;
  • Shin, Mi-Young (Marine Safety Research Division, Korea Research Institute of Ships & Ocean Engineering (KRISO)) ;
  • Han, Young-Hoon (Marine Safety Research Division, Korea Research Institute of Ships & Ocean Engineering (KRISO)) ;
  • Cho, Deuk-Jae (Marine Safety Research Division, Korea Research Institute of Ships & Ocean Engineering (KRISO))
  • 고재영 (한국해양과학기술원 부설 선박해양플랜트연구소 해양안전연구부) ;
  • 신미영 (한국해양과학기술원 부설 선박해양플랜트연구소 해양안전연구부) ;
  • 한영훈 (한국해양과학기술원 부설 선박해양플랜트연구소 해양안전연구부) ;
  • 조득재 (한국해양과학기술원 부설 선박해양플랜트연구소 해양안전연구부)
  • Received : 2014.12.23
  • Accepted : 2015.02.17
  • Published : 2015.02.28
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Abstract

In high precision positioning systems based on GNSS, ambiguity resolution is an important procedure. Correct ambiguity leads to positioning results which have high precision between millimeters and centimeters. However, when the ambiguity is determined incorrectly, ensuring accuracy and precision of the positioning result is impossible. An ambiguity validation test is required to obtain correct ambiguity when ambiguity resolution is performed based on the ILS (Integer Least Squares), which shows the best performance in point of theory and experiment when compared with other methods such as IR (Integer Rounding) and IB (Integer Bootstrapping). Comparison between the candidates of the validation test is needed to judge ambiguity correctly, because ILS searches for candidates of integer ambiguity, unlike other methods which calculate only one integer ambiguity. We analyzed the experimental performance of ambiguity validation tests. R-ratio, F-ratio and W-ratio were adopted for analysis. The performance of validation tests was evaluated by classifying normal operation, detection, missed detection and false alarm. As a result, strengths and weaknesses of validation tests was showed to experimental. we concluded that validation tests must be selected according to environment.

GNSS를 이용한 정밀측위에서 미지정수 결정은 가장 중요한 과정이다. 정확한 미지정수를 추정하는 경우에는 수 mm에서 수 cm의 정밀한 측위결과를 가져오지만 부정확한 미지정수를 사용하는 경우에는 측위결과의 정확도와 정밀도를 보장할 수가 없다. 미지정수 결정은 IR(Integer Rounding), IB(Integer Bootstrapping), ILS(Integer Least Squares) 등의 기법을 기반으로 수행할 수 있다. 이중에서 ILS는 이론적, 실험적으로 가장 좋은 성능을 보여준다. 하지만 다른 기법들과 달리 ILS는 미지정수에 대한 후보를 검색하기 때문에 올바른 미지정수를 판단하기 위한 타당성 검정이 필요하다. 본 논문에서는 타당성 검정 기법간의 실험적인 비교 분석을 수행한다. 실험에는 타당성 검정 기법으로 자주 쓰이는 R-ratio, F-ratio, W-ratio가 사용되었다. 각 타당성 검정 기법의 성능을 정상동작, 검출, 미검출, 오검출로 나누어 평가하였다. 실험결과로 각 타당성 검정 기법의 장단점이 분명하게 나타났으며, 이를 통해 적용환경에 따라 기법이 선택되어야 함을 확인하였다.

Keywords

References

  1. Abidin, H. A.(1993), "Computational and geometrical aspects of on-the-fly ambiguity resolution", Ph. D. Thesis, Dept. of Surveting Engineering, Techn.Report no. 104, Univ. of New Brunswick, Canada, p. 314
  2. Blewitt, G.(1989), "Carrier-phase ambiguity resolution for Global Positioning System applied to baselines up to 2000 km", Journal of Geophysical Research, Vol. 94, No. B8, pp. 10187-10302. https://doi.org/10.1029/JB094iB08p10187
  3. Dong, D. and Bock, Y.(1989), "Global Positioning Ststem network analysis with phase ambiguity resolution applied to crustal deformation studies in California", Journal of Geophysical Research, Vol. 94, No. B4, pp. 3949-3966. https://doi.org/10.1029/JB094iB04p03949
  4. Euler, H. J. and Schaffrin, B.(1991), "On measure for discernibility between different ambiguity solutions in the static-kinematic GPS-mode", IAG symposia no. 107, Kinematic Systems in Geodesy, Surveying, and Remote Sensing, Springer-Verlag, New York, pp. 285-295.
  5. Euler, H. J. and Landau, H.(1992), "Fast GPS ambiguity resolution on the fly for real time applications", Proc. of 6th International Symposium on Satellite Positioning, pp. 650-659.
  6. Frei, E. and Beutler, G.(1990), "Rapid static positioning based on the fast ambiguity resolution approach FARA: theory and first results", Manuscripta Geodaetica, Vol. 15, pp. 325-356.
  7. Teunissen, P. J. G.(1993), "Least Squares estimation of the integer GPS ambiguities", Invited lecture, Section IV Theory and Methodology, IAG General Meeting, Beijing.
  8. Teunissen, P. J. G.(1995), "The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation", Journal of Geodesy, Vol. 70, pp. 65-82. https://doi.org/10.1007/BF00863419
  9. Wang, J., Stewart, M. P. and Tsakiri, M.(1998), "A discrimination test procedure for ambiguity resolution on-the-fly", Journal of Geodesy, Vol. 72, pp. 644-653. https://doi.org/10.1007/s001900050204
  10. Wang, J., Stewart, M. P. and Tsakiri, M.(2000), "A comparative study of the integer ambiguity validation procedures" Earth Planets Space, Vol. 52, pp. 813-817. https://doi.org/10.1186/BF03352287
  11. Lee, H. K. and Lee, I. S.(2004), "The Effect Analysis of Observation Errors and Satellite Geometry to Ambiguity Validation Test of Carrier Phase-Based GNSS", Journal of the Korean Society of Civil Engineers, Vol. 24, No. 5D, pp. 805-814.