On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements

In this paper we introduce new variables that can be used to
retrieve the atmospheric continuum emission in the inversion of remote
sensing measurements. This modification tackles the so-called sloppy model
problem. We test this approach on an extensive set of real measurements
from the Michelson Interferometer for Passive Atmospheric Sounding. The
newly introduced variables permit to achieve a more stable inversion and a
smaller value of the minimum of the cost function.