Error analysis and minimum bound method for atmospheric remote sensing

Authors:
Adrian Doicu;Franz Schreier;Siegfried Hilgers;Michael Hess
Affiliations:
DLR - German Aerospace Center, Remote Sensing Technology Institute, Oberpfaffenhofen, 82234 Weíling, Germany;DLR - German Aerospace Center, Remote Sensing Technology Institute, Oberpfaffenhofen, 82234 Weíling, Germany;DLR - German Aerospace Center, Remote Sensing Technology Institute, Oberpfaffenhofen, 82234 Weíling, Germany;DLR - German Aerospace Center, Remote Sensing Technology Institute, Oberpfaffenhofen, 82234 Weíling, Germany
Venue:
Environmental Modelling & Software
Year:
2007

Citing 3
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Abstract

In this study, we present an error analysis for Tikhonov regularization in a semi-stochastic setting. The analysis is carried out in such a way that it can be applied to any kind of inverse problem in atmospheric remote sensing. A method for selecting the optimal regularization parameter relying on the minimization of an estimator of the bound of the error between the first iterate and the exact solution is also discussed. Numerical simulations are performed for NO"2 retrieval from SCIAMACHY limb scatter measurements.