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Numerical simulations are next used to generate a wide set of bending-torsion random loading with different correlation degrees, variance ratios and frequency content, in order to further validate the new proposed method.
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Fig. 1 (a) Simple mean solution, (b) weighted mean, (c) error degree variance of simple and weighted means.
The signal degree variance is based on Model 4 of Tscherning and Rapp (1974): {C}_n=frac{Aleft n-1right)}{C}_n=frac{Aleft n-1rightght)}{left n-2right
As shown in the figure, compared with the CCT-based algorithm, the proposed CCDT-based DFSA algorithm achieves lower satisfaction degree variance, which illustrates that the proposed algorithm outperforms the CCT-based algorithm in respect of satisfaction degree fairness.
The Mauersberger-Lowes spectrum (degree variance) (5)of the differences between the true (i.e. input) and the estimated model coefficients,, in combination with the spectrum of the input model, has been used to evaluate an estimated model.
This group includes mean degree, degree variance, degree median and degree maximum.
Fig. 8 Degree variances of the EGM2008- and SEGM-induced geoid heights.
Even the error degree variances of these solutions are more or less the same.
The spectral coefficients and the degree variances are evaluated for sin2 θTyy at GOCE mission altitude 250 km.
The correlation lengths remain at about 0.05° for both the cases of the original and the adjusted Model 4 signal degree variances.
The oveall good fit of the final SEGM to EGM2008 is also shown by degree variances that are almost identical for the first few degrees and of similar magnitude (cf. Fig. 8) for higher degrees.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com