The processes of discretization, interpolation, and resampling are frequently used in data analysis. Here the formalism of functional spaces is used as a framework for the description and characterization of both the measurement operation and these subsequent processes. The tools provided by this formalism are applied to the problem of resampling of atmospheric volume mixing ratio vertical profiles obtained with limb-sounding measurements. In particular, a resampling method that uses the conservation of the vertical column as a constraint is presented and compared with other methods. The effects of the resampling process in terms of error propagation and loss of vertical resolution are also evaluated.
© 2001 Optical Society of America
Original Manuscript: June 6, 2000
Revised Manuscript: October 25, 2000
Published: March 10, 2001
Bruno Carli, Piera Raspollini, Marco Ridolfi, and Bianca M. Dinelli, "Discrete representation and resampling in limb-sounding measurements," Appl. Opt. 40, 1261-1268 (2001)