inverse problem

A computational experiment has been performed in order to evaluate systematic errors of atmospheric Total Water Vapor (TWV) and integral Liquid Water Content (LWC) microwave radiometric retrieval from satellites by means of dual-frequency method (inverse problem).  The errors under consideration may arise due to the non-linearity of brightness temperature level on true liquid water and effective cloud temperature dependencies and due to neglecting the spatial distribution of cumulus clouds in the satellite microwave radiometer antenna field-of-view (FOV).

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A comparison of designs obtained by statistical and deterministic methods is being carried out. Points that are difficult to address in the statistical approaches are considered. A formulation of a regularized solution to experimental design is described in detail. The peculiarities of the optimal design for three types of regressions are revealed. The main factors that govern the estimation errors are determined.

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