基于有色噪声模型的GPS速度场精度与时间序列长度相关性研究

摘要/Abstract

摘要： 利用2010—2015年陆态网络GPS连续观测站的三维站坐标时序资料, 在采用最大似然估计MLE方法计算得到云南地区GPS基准站三维站坐标分量最优噪声模型的基础上, 进一步定量对比分析了有色噪声和白噪声模型下陆态网络GPS连续站速度场稳定性与时间序列长度的关系。结果表明: 在闪烁噪声模型下, 中国大陆大部分地区GPS连续站1 a时段的速度不确定度大。而随着时间的逐年累积, 闪烁噪声模型下的速度不确定度与同时段白噪声模型下的差异逐步减小, 闪烁噪声模型下3～4 a时段的速度不确定度与同时段白噪声模型的差异小于0.2 mm。研究说明在有色噪声模型下要获得高精度的速度场需要3～4 a的观测数据, 白噪声模型下GPS速度场精度可靠可信的前提是采用不少于3～4 a的数据。

关键词: GPS时间序列, 噪声分析, 极大似然估计, 陆态网络GPS基准站

Abstract: Using 3-dimension coordinate time series from China Mainland Tectonic Environment Monitoring Network from 2010 to 2015, and based on the calculation of optimal noise models of 3 components of each station in Yunnan Area by MLE method, we analyzed correlation between the precision of GPS velocity field and the length of time series under colored noise models and white noise models through quantitative comparison. The results suggest that velocity uncertainties obtained by only 1 year time series of GPS continuous stations are overestimated in most areas of mainland China under colored noise models. With the year-to-year accumulation, the differences of velocity uncertainty of the same period between colored noise model and white-noise model declined, and the differences between these two models obtained by 3~4 year timeseries are less than 0.2mm. This study shows that we need at least 3~4 year’s data to obtain a high precision velocity field under colored noise model, and it also suggests that the velocity precision is credible and believable under the white noise model only if it was computed with at least more than 3~4 year period data.

Key words: Noise analysis of time-series, GPS reference station, China Mainland Tectonic Environment Monitoring Network

中图分类号:

P315.7

张风霜,畅柳. 基于有色噪声模型的GPS速度场精度与时间序列长度相关性研究[J]. 地震, 2017, 37(1): 92-102.

ZHANG Feng-shuang,CHANG Liu. Correlation between the Precision of GPS Velocity Field and the Lengths of Time Series based on Colored Noise Models[J]. EARTHQUAKE, 2017, 37(1): 92-102.

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