Principles and applications of wavelet transformation of chemometrics

This paper aims at serving two purposes: firstly, it gives a quick summary of aspects and properties of wavelets and wavelet transforms which are need ed in order to understand how to (pre-)process data from spectrometry with wavelet methods. Secondly, it shows on a typical example (wheat NIR spectra l how wavelet transforms can be used in order to extract quantitative infor mation. In contrast to other approaches in the literature, we use special t ypes of wavelets which allow analysing finitely extended signals without in troducing artifacts near the boundaries, and we introduce a new way of wave let coefficient regression in order to build our chemometrical models. (C) 2000 Elsevier Science B.V. All rights reserved.