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S. TWOMEY

Abstract

The difficulties and instabilities accompanying the inversion of radiance data to infer temperature structure are closely related to the high degree of interdependence existing among these nominally independent measurements.

The radiance measurements discussed in the accompanying papers are shown to be interdependent to a marked degree. It is shown that one of the measurements can be predicted from the others with an accuracy which is only a little worse than the experimental accuracy.

The application of this kind of analysis to determine optimum choices of measurements and the information content thereof is outlined.

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S. TWOMEY
and
H. B. HOWELL

Abstract

Instability limits the usefulness of indirect sounding, i.e. the deduction of a physical distribution from a set of observations which represent an integral transform of the former. A method is presented which allows a stable, but smoothed, solution to be obtained in certain cases. As an illustration of the application of the method, the deduction of vertical ozone distribution from measurements of the spectral distribution of scattered ultraviolet radiation is discussed. Graphs showing results from several possible methods of inversion are included to show the difficulties associated with such indirect measurements.

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