GPS载波相位测量数据的时间序列分析建模研究

Study on modeling of time series analysis for GPS carrier phase measurement data

整周模糊度与周跳是应用GPS载波相位测量数据进行高精度定位亟待解决的问题。本文采用时间序列分析理论对GPS载波相位测量数据进行分析,证明了测量数据的四次差分序列是平稳过程,建立了差分序列的数学模型,实现了载波相位测量值的预测。数据试验结果表明,利用该模型得到的载波相位预测值与实际测量值的误差不超过1周,取得了较为满意的效果。本文的研究为整周模糊度与周跳等问题的解决提供了新的思路,可以作为GPS高精度定位以及实时姿态测量等工程应用的参考。

Integer ambiguity and cycle slip are two continuing challenges for high precision positioning results with GPS carder phase measurement. To solve these problems, the carder phase measurement data must be analyzed and processed. The carder phase measurement data of GPS are analyzed using time series analysis theory in this paper. The results show that the fourth difference series of measurement is a steady process. A mathematic model of the fourth difference series is built and used to forecast the carrier phase measurement. The experimental results show that the novel model can forecast the carrier phase measurement with errors less than 1 cycle, and the satisfying results are obtained. The research work in this paper paves the way for integer ambiguity and cycle slip, and should be valuable in the project application and the theory research of GPS high precision positioning and real-time attitude determination.