Establishment method and application method of GPS reference station network coordinate time series three-dimensional noise model based on singular value decomposition

Abstract

The invention relates to an establishing method of a 3D noise model of a GPS reference station network coordinate time sequence based on singular value decomposition. A model capable of obtaining thenoise amplitude of three components at the same time is constructed, the concrete form of the model is (a<N><^>- a<N><->) / V<N>=(a<E><^>- a<E><->) / V<E>=(a<^>- a<->) / V, wherein N, E and U represents the components respectively, Vi(i=N, E, U) represents an element of a direction vector of a spatial fitting line of an estimated value of the three-component noise amplitude of the GPS referencestation network coordinate time sequence in certain component, and a<^> and a<-> (i=N, E, U) represent the mean value of noise amplitude to be solved and noise amplitude of certain component respectively. The 3D noise model can represent the mutual relation among the noise amplitude of three components, and the establishing process of the multidimensional noise model can be simplified; andthe amplitude of higher precision of the three components of the noise can be obtained according to the 3D noise model and the estimated value of the noise value of certain type of noise.

Description

technical field [0001] The invention belongs to the technical field of GPS data processing, and in particular relates to a method for establishing and using a GPS reference station network coordinate time series three-dimensional noise model based on singular value decomposition. Background technique [0002] GPS reference station coordinate time series are widely used in geodesy and geodynamics research. It can provide basic data for studying the temporal and spatial changes of crustal movement, structural deformation characteristics and other scientific issues. Due to various factors including the geophysical environment and systematic errors related to GPS technology, the GPS station coordinate time series contains white noise and colored noise (error). At present, the accuracy required by various research fields for geodetic results is getting higher and higher. When using GPS coordinate time series to analyze surface displacement or strain, it is required to obtain acc...

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Problems solved by technology

[0004] Then, the applicant found that although the relationship between different component noises can be established by using the principal axis regression criterion, the method still has the following shortcomings: First, this method is only suitable for establishing a regression equation for two variables

It can be seen that for the noise combination model of white noise + flicker noise, in order to fully express the relationship between the three component noises, a total of 6 regression equations need to be established, so the processing process of this method is relatively cumbersome

Second, the regression equation expressing the relationship between the two component noise amplitudes ignores the effect of the third component noise amplitude on the two component noise amplitudes, and cannot simultaneously reflect the relationship between the three component noise amplitudes

Finally, it is found that the regression equation obtained according to the method does not significantly improve the accuracy of the noise amplitude

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