有色噪声模型下云南地区GPS基准站速度与周期估计*

(中国地震局第一监测中心,天津300180)

云南地区; GPS基准站; 时间序列噪声分析; 极大似然估计; 最优噪声模型

Estimation on Velocity and Cycle of GPS Reference Stations in Yunnan Area Based on the Colored Noise Models
ZHANG Fengshuang

(First Crust Monitoring and Application Center,CEA,Tianjin 300180,China)

Yunnan Area; GPS reference station; noise analysis of time-series; maximum likelihood estimate; optimal noise model

备注

基于2010~2014年云南地区25个GPS连续观测站的三维站坐标时间序列结果,通过不同噪声模型对其进行分析,结果表明:各坐标分量具有不同的噪声特性且最优噪声模型存在多样性,闪烁噪声+白噪声和幂律噪声+白噪声为该区主要的噪声模型,垂向分量最优噪声模型的分布表现出以NW向红河断裂带为分界的地域性。噪声模型与测站运动参数的定量分析表明,噪声模型对测站速度不确定度和年周期振幅不确定度影响较大,有色噪声模型下的速度不确定度和年周期振幅不确定度分别是白噪声模型下的3~7倍和2~3倍; 噪声模型对速度及年周期振幅产生少量影响,有色噪声模型和白噪声模型下的线性速度估值偏差一般小于1 mm/a,少数测站垂向分量差异超过1 mm/a,年周期振幅估值偏差一般小于0.5 mm/a,且垂向分量偏差大于水平分量,东向分量偏差大于北向分量。

Based on the calculation result of time series of the 3D coordinate recorded by 25 GPS continue observation stations in Yunnan Area from 2010 to 2014,we implemented the noise analysis on it by using different noise model combinations.The results suggest that the component of different station coordinate has the different noise feature,and the optimal noise models represent the characteristic of diversity,the model of flicker noise plus white noise and power law noise plus white noise is the main noise models in Yunnan.The distribution of optimal noise models of vertical components represents regional characteristics on both sides along the Red River Fault with NE.The quantitative analysis of the noise model and the movement parameters of observation station show that the influence of the noise model on the linear velocity uncertainty and annual cycle uncertainty is large,the velocity uncertainty and annual cycle uncertainty under colored noise model are 3~7 and 2~3 times of that under white noise model respectively.The noise model has a little influence on the velocity and the amplitude of the annual cycle,under colored noise model and white noise model,the linear velocity deviations of vertical component are less than 1 mm/a generally at majority stations,and they are more than 1 mm/a at minority stations.The deviations of annual cycle amplitude are less than 0.5 mm,and the deviations of vertical component are bigger than that of horizontal component,as well as the deviations of EW component are bigger than that of north component.