Abstract
Saitoh, N. and Gohshi, Y., 1989. A new approach to derivative deconvolution. Chemometrics and Intelligent Laboratory Systems, 6: 291–299. A new approach to the deconvolution problem by using a derivative method is proposed, in which deconvolution is performed by expanding a measured spectrum with its derivatives. Thus far the derivative deconvolution method has only been applied to those smearing functions that show no long-tailed profiles, e.g. Gaussian and triangle profiles. In this study, the scope of the derivative method is extended to cover smearing functions which have long tails such as a Lorentzian profile. The termination problem of the expansion is also discussed. It is recognized that AIC (Akaike's Information Criterion) can be used as a criterion to determine the number of terms used in the derivative expansion. Finally we show an example of the application of our method to X-ray fluorescence spectra.
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