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An Instantaneous Integer Ambiguity Resolution for GPS Real-Time Structure Monitoring

GPS 실시간 구조물 모니터링을 위한 반송파 관측데이터 순간미지정수 결정

  • 이흥규 (창원대학교 토목공학과)
  • Received : 2013.06.29
  • Accepted : 2013.10.14
  • Published : 2014.02.01

Abstract

In order to deliver a centimeter-level kinematic positioning solution with GPS carrier-phase measurements, it is prerequisite to use correctly resolved integer ambiguities. Based on the mathematical modeling of GPS network with application of its geometrical constraints, this research has investigated an instantaneous ambiguity resolution procedure for the so-called 'integer constrained least-squares' technique which can be effectively implemented in real-time structure monitoring. In this process, algorithms of quality control for the float solutions and hypothesis tests using the constrained baseline for the ambiguity validation are included to enhance reliability of the solutions. The proposed procedure has been implemented by MATLAB, the language of technical computing, and processed field trial data obtained at a cable-stayed bridge to access its real-world applicability. The results are summarized in terms of ambiguity successful rates, impact of the stochastical models, and computation time to demonstrate performance of the instantaneous ambiguity resolution proposed.

GPS 반송파를 사용하여 센티미터 수준 정확도의 동적 측위를 위해서는 반송파 관측데이터에 포함하고 있는 미지정수를 결정하여 정밀한 기하거리로 환산하는 것이 필수적이다. 본 논문에서는 GPS에 의한 실시간 구조물 모니터링에 효율적으로 적용가능한 반송파 관측데이터 순간미지정수 결정 성능향상을 위한 알고리즘을 연구하였다. 이를 위하여 구조물에 설치한 GPS 수신기 이동 범위와 그 네트워크를 수학적으로 모형화하고 '정수제약 최소제곱법'을 통해 정확한 위치를 추정하는 절차를 제안하였다. 이 절차에는 추정해의 신뢰성 향상을 위해 실수해의 과대오차 최소화에 필요한 품질제어와 기하적 구속조건을 이용한 미지정수 타당성 검정을 포함하고 있다. 제안된 순간미지정수 결정절차를 과학기술용 계산용 소프트웨어인 MATLAB에 의해 실시간 적용 가능하도록 구현하고 장대교량에 해당하는 사장교 현장 관측데이터를 처리하여, 그 성능을 미지정수결정 성공률, 통계모형의 영향 그리고 연산시간에 대해 분석하고 결과를 요약하였다.

Keywords

References

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