陆态网络GPS速度场噪声模型分析

    An Analysis of Noise Model in Land-based Network GPS Velocity Field

    • 摘要: GPS观测会受到外界因素影响,导致其时间序列中含有各类噪声,需要采用合适的噪声模型来估计其速度精度。本文利用频谱分析和极大似然估计的方法对中国大陆地壳运动观测网络的259个GPS连续站的时间序列进行了最优噪声模型分析。通过频谱分析法,认为“中国地壳运动观测网络”(CMONOC-I/II,简称“陆态网络”)连续站主要的噪声模型为白噪声加闪烁噪声。利用最优噪声模型与使用FOGMEx模型所计算的速度差距不大,速度不确定性分别是FOGMEx模型的(1.5±0.7)倍(E)、(1.0±0.5)倍(N)、(1.8±1.1)倍(U)。从每年的连续站数据中抽取连续3 d的观测数据作为模拟流动站,使用原连续站的协方差矩阵和降低自由度法分别估计模拟流动站的速度不确定性,两者之比分别为0.8±0.2(E)、1.0±0.2(N)、0.9±0.2(U),速度则无明显差异。由此,对于中国大陆占绝大多数的真实流动站,本文建议采用降低自由度(即假定流动站观测值个数为观测年数)来估计其不确定度。

       

      Abstract: GPS observations are influenced by external factors, resulting in various types of noise in their time series. It is necessary to use appropriate noise model to estimate the station’s velocity accuracy. Spectral analysis method and maximum likelihood estimation method are used to perform optimal noise model analysis on the time series of 259 GPS continuous stations in the China Continental Crustal Movement Observation Network. Three consecutive days of observation data are extracted from the annual continuous station data as simulated campaign stations. The main noise models of the continuous stations of China Crustal Movement Observation Network of China are white noise plus flicker noise resulted from spectral analysis method. The difference in velocity calculated using the optimal noise model and the FOGMEx model is not significant, and the speed uncertainty is 1.5 ± 0.7 times (E), 1.0 ± 0.5 times (N), and 1.8 ± 1.1 times (U) of the FOGMEx model, respectively. For the simulated campaign station, the velocity uncertainty obtained from the original continuous station covariance matrix is 0.8 ± 0.2 times (E), 1.0 ± 0.2 times (N), and 0.9 ± 0.2 times (U), respectively, compared with the velocity uncertainty estimated by the noise model established by reducing its degree of freedom and there is no significant difference in velocity. Therefore, for the majority of real campaign stations in China’s mainland, reducing the degrees of freedom (i.e., assuming the number of observed values at campaign stations equals the number of years of observation) is suggested to estimate their uncertainty.

       

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