顾及有色噪声背景的IGS站点周期振荡运动显著性检验研究

IGS site coordinate time series has the problems of outliers, offsets, data gaps, and temporal correlated noise. Not only the long-term linear drift rate, but also many nonlinear variations including periodic oscillation signal and coseismic jumps is founded. Interpretation and modelling of the physical mechanism of IGS site's nonlinear motions is one of the research focuses in the current GNSS applications. These issues motivate us to discuss the statistical significance of nonlinear periodic oscillating motion of IGS site coordinate time series. The daily coordinate solutions from IGS 2nd data reprocessing campaign are discussed as the study objects. We focus on: (1) data preprocessing, (2) fitting and checking the preferred noise background, (3) significance test of nonlinear periodic oscillation signals under a variety of colored noise background, and (4) periodic oscillation detection applied to real GPS time series, respectively. This study has important theoretical significance and application value for GPS data correction, site seasonal movement mechanism analysis, as well as the fixed reference frame maintenance.

IGS站点坐标时间序列存在异常值、阶跃和数据缺失问题，并伴有时空相关噪声，不仅包含了板块运动为主的长期线性变化，还存在包括了周期振荡信号以及震后跳变位移等在内的非线性变化。IGS站点非线性运动的物理机制研究及其建模是当前GNSS坐标时间序列分析的研究热点，本课题以IGS最新的二次再分析坐标序列产品为研究对象，就站点非线性周期振荡运动是否具有显著性这一问题展开研究，研究内容主要包括：（1）站点坐标时间序列数据预处理，（2）站点坐标时间序列最优噪声模型构建，（3）顾及多种有色噪声背景下的周期振荡信号显著性检验方法研究，（4）站点非线性周期振荡运动显著性检验与分析。研究成果对于GPS观测数据干扰改正、测站季节性运动物理机制研究以及地固参考框架稳定性维护方面具有重要的理论意义与应用价值。