Jc. Dobrowolski et Mh. Jamroz, BACKGROUND ELIMINATION IN 3-DIMENSIONAL SPECTROSCOPY USING THE INTENSIAN METHOD, Journal of mathematical chemistry, 17(1), 1995, pp. 111-121
The method to eliminate background in the case of quantitative multidi
mensional spectroscopy, chromatography or any analytical 3-dimensional
technique is shown. The 3-dimensional signal is required to be propor
tional to the concentration of determined substance and the additivity
of signals should be obeyed. Eliminated background is assumed to be a
low-order polynomial of two variables. The intensian method is a gene
ralization of the Beer-Lambert law, where a certain determinant called
intensian replaces absorption and absorptivity. In practice there wil
l be no need to use determinants, since usually they are replaced by e
xpressions of few terms. Some details on the practical use of the meth
od are given.