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In the previous section, we described the effectiveness of using a "common" process noise value for each specific day across the GEONET network; however, this approach also requires considerable computational resources.
Due to the existence of the common process noise in the equivalent process and measurement noises, the equivalent process and measurement noises are cross-correlated and the equivalent measurement noises are autocorrelated.
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Thus, we calculated the common optimum process noise values for each peak region based on the three components.
These results suggest that the assumption of "common" optimum process noise is useful for improving the coordinate time series.
Thus, we averaged the frequencies of the three components to extract the common optimum process noise combination.
First, common optimum process noise values on November 22 are a TROP value of 1 × 10−8 km s−1/2 and a GRAD value of 6 × 10−10 km s−1/2.
The second common optimum process noise values are a TROP value of 5.5 × 10−9 km s−1/2 and a GRAD value of 1 × 10−11 km s−1/2.
Fig. 8 Spatial distribution of improvements in coordinate time series for each coordinate component on March 10 , 2011 based on the estimated "common" optimum process noise values.
For the calculation, we assumed the "common" optimum process noise values for a specific day (March 10 , 2011 across the entire GEONET network.
Using these estimated common optimum process noise values on March 10 gives improved SD for all sites when compared with the values recommended by Bar-Sever et al. (1998), except for three outlier sites (0055, 0151, and 0676) that have very large SD (Fig. 8).
Thus, we adopted these process noise values as the "common" optimum parameters for this specific date.
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CEO of Professional Science Editing for Scientists @ prosciediting.com