GPS satellite clock error forecasting method and system based on initial condition optimization GM model

Abstract

The invention belongs to the technical field of clock error forecasting, and discloses a GPS satellite clock error forecasting method and system based on an initial condition optimization GM model, and the method comprises the steps: calculating an initial condition through employing the latest information of an original clock error sequence, and constructing a gray model; and forecasting the GPS satellite clock error by using the constructed grey model. The invention provides a method for optimizing the GM model and forecasting the GPS satellite clock error according to the latest component generation initial condition of the original signal, the satellite clock error can be accurately and effectively forecasted, the forecasting precision is high, the error is small, and the forecasting performance is excellent. According to the method, the latest component of the original sequence is selected to generate the initial condition, existing information is fully utilized, the new information priority principle is followed, and the overall forecasting performance is effectively improved.

Description

technical field [0001] The invention belongs to the technical field of clock error prediction, in particular to a GPS satellite clock error prediction method and system based on an initial condition optimized GM model. Background technique [0002] At present, in the global navigation satellite system (Global Navigation Satellite System, GNSS) real-time navigation and positioning, the clock error prediction of the satellite-borne atomic clock plays an important role in maintaining the time synchronization of the satellite navigation system, optimizing the clock error parameters of the navigation message, and meeting the needs of real-time dynamic precise single point positioning. It plays an important role in providing prior information required for satellite autonomous navigation. Because spaceborne atomic clocks are extremely sensitive in space, they are easily affected by external uncertain factors and their own complex characteristics, making it difficult to understand t...

AI Technical Summary

Problems solved by technology

[0006] Through the above analysis, the problems and defects of the existing technology are: the prediction accuracy of the existing GPS satellite clock error prediction method based on the GM model is not high, and the error caused by the defects of the modeling method itself cannot be completely eliminated, resulting in the prediction of the gray model Sometimes there will be a large deviation between the value and the final observation value; at the same time, the existing GPS satellite clock error prediction method based on the GM model optimized by initial conditions is not effective and superior

[0007] The difficulty in solving the above problems and defects is: the spaceborne atomic clock is extremely sensitive in space, and is easily affected by external uncertain factors and its own complex characteristics, and it is difficult to use a certain model to accurately describe the satellite clock error sequence; the modeling mechanism of the GM model determines It is difficult to achieve a strict approximation between the gray differential equation and the fitted differential equation, and the accuracy of parameter estimation such as the background value and initial conditions of the model and the smoothness of the initial sequence participating in the modeling will also affect the prediction accuracy of the GM model

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