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The fuzzy model is transformed to the crisp equivalent auxiliary model using (Jiménez et al. 2007).
The basic idea is to replace the unmeasurable outputs in the information vector of the system by auxiliary model outputs, and to modify the recursive least squares parameter estimation by the errors between the system output and auxiliary model output.
These issues spill over to associated analyses that build on model outputs or become integrated as auxiliary model capabilities.
Subsequently, the diffusion forecast algorithm is applied to the retrieved time-series in order to construct the auxiliary model for the time evolving parameters.
In order to get the unbiased parameter estimation of transfer function from noisy input and output data, this paper presents an auxiliary model based method.
Also shown, the spectra of the differences between the VFM 2015.0 auxiliary model and, respectively, the official 2015.0 IGRF model (dashed green) and N-VFM 2015.0 auxiliary model (dashed blue); all at Earth's surface (i.e., at reference radius a = 6371.2 km).
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A number of useful auxiliary models were also built and provided.
Therefore, in this early phase, auxiliary models based on non-Swarm data will be used instead.
At the start of the mission, alternative (auxiliary) models will be used.
The validation tests consist of a number of cross-checks between the Swarm core models and other auxiliary models such as the IGRF-11 (Finlay et al., 2010).
If needed, non-SCARF, auxiliary models will be considered during the exploitation phase to improve the quality of the final model.
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