Equivalence of modified Gaussian model (MGM) in wavenumber and Gaussian in wavelength for deconvolution of hyperspectral reflectance spectra

摘要

A modified Gaussian model (MGM) is used to separate overlapping absorption features into their fundamental bands in mineral reflectance spectra; it is widely used in the planetary remote sensing community. To facilitate its use for earth-observation studies where it has not been widely adopted, we show that the MGM analysis in wavenumber is numerically equivalent to Gaussian analysis in wavelength, improving access to software that is capable of the analysis. The two approaches were tested on a synthetic spectrum and a measured mineral spectrum. Results for the two methods are as close to identical as computationally possible, confirming their equivalency.