一种改进的GPS区域叠加滤波算法

An Improved Stacking Filtering Algorithm for GPS Network

  • 摘要: GPS时间序列的空间滤波可以提高观测数据的信噪比,有利于获取更高精度的地壳形变信息。区域叠加滤波算法的空间滤波结果随着测站数和空间尺度不同而不同,不利于研究GPS时间序列中的形变信息。为了削弱区域叠加滤波受空间尺度的影响,提出一种不以空间尺度作为约束条件,同时引入相关系数和距离因子的区域叠加滤波算法。采用2010—2017年中国区域260个GPS连续观测站的时间序列展开空间滤波方法的研究,计算结果表明,对比相关性区域叠加滤波算法,考虑GPS时间序列之间的相关系数和距离因子更有利于提取GPS时间序列中的共模误差,且受空间尺度的影响较小。对比3种不同距离因子的区域叠加滤波算法,可知引入距离反比的空间滤波算法可实现更优的空间滤波。采用该方法空间滤波后可使GPS时间序列残差降低30%~40%,GPS速度场精度提高30%~40%。此算法实现了更优的GPS形变场估计,为研究中国区域的地壳运动和其动力学机制提供了可靠的数据基础。

     

    Abstract: GPS (Global Positioning System) time series spatial filtering can improve the signal-to-noise ratio of the observations, which is beneficial to obtain more accurate deformation information. The spatial filtering result by using stacking filtering method is not unique, as the number of stations and the spatial scale are different. This is not good to study the deformation information in GPS time series. In order to weaken the influence of spatial scale on spatial filtering method, an improved stacking filtering algorithm is proposed. This method introduces correlation coefficient factor and distance factor as the weights, and it does not constraint by spatial scale. This method is applicable for the regions with different GPS station distribution. We study the spatial filtering method for 260 GPS continuous observing stations in China, and the observation time series is from 2010 to 2017. The results show that:(1) Compared with the correlation weighted stacking filtering algorithm, the method is more effective to extract the common-mode errors from the GPS time series. The stacking filtering method are less constraint by the spatial scale, which take the correlation coefficients between GPS stations and distance factors as weighted. (2) Compared three kinds of stacking filtering methods with different distance factors as weighted, the method with the inverse distance factor obtained the better spatial filtering result. (3) The residuals of GPS time series can be reduced by 30%-40% and the precision of GPS velocity field increased by 30%-40% after spatial filtering by this method. This spatial filtering method can obtain better GPS deformation field estimation. And it also provides a reliable data foundation for studying the crustal movement and its dynamic mechanism in China.

     

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