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Singular Value Decomposition Analysis of Ozone Profile Retrieval from High-resolution Interferometer Sounder Data

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Abstract

In recent years the High-resolution Interferometer Sounder (HIS) program at the University of Wisconsin has made substantial contributions to the remote sensing of temperature and moisture vertical profiles from high spectral resolution infrared data.[Smith 1990] With the support of a NASA grant, the HIS program has been extended to include the development and validation of algorithms for the retrieval of trace constituents from HIS data. This paper is a summary of the analysis applied for the retrieval of ozone profiles (and column densities) from observed upwelling radiance obtained from NASA high altitude aircraft at about 20 km altitude. The analysis used makes use of the theory of singular value decomposition (SVD) in the solution of the under-determined nonlinear least squares problem posed by the data. Use of SVD is a powerful method for handling the ill conditioned inverse involved. The relevant theory and measurements are summarized and the result of application to observed data is provided below.

© 1993 Optical Society of America

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