基于模型和空间相关性的GPS时间序列插值方法

针对GPS时间序列的空缺，根据数据固有特性和空间特性，提出基于模型和噪声空间相关性的GPS时间序列插值方法，并以陕西省GPS连续站为例验证该方法对长空缺插值的优势。通过实验分析不同情况的空缺和插值对GPS时间序列速度、周期项以及噪声特性的影响。结果表明，空缺对速度影响较小，较少的观测也可以较好地反映地壳线性运动；空缺对周期项影响较大，利用GPS分析周期性运动时必须考虑空缺的影响；噪声频谱分析显示离散空缺比长空缺影响大，噪声特性分析时应注意。

A New Method of Interpolation of GPS Coordinate Time Series Based on Model and Noise Spatial Correlation

In response to vacancies in the GPS coordinate time series, this paper proposes a new interpolation method based on the modeling and error spatial correlation of sites in the network, considering the intrinsic and spatial properties of the data. It proves the advantage in the interpolation for long vacancy in the example of GPS continuous GPS sites in Shaanxi province. In additional, this paper analyzes the impact of different types of vacancies on the velocity, periodic terms and noise characteristics. The results show that the vacancies have less influence on velocity but greater influence on periodic terms, and scattering vacancies affect noise characteristics greater than long vacancies. Consequently, periodic movement and noise analysis when vacancies exist have to be treated cautiously.