Determination of the characteristics of the spectra of neutron scattering for tungsten using the wavelet transform

Abstract

The problem of the determination of the spectral characteristics using the lifting scheme with the linear approximation of signals and the Haar wavelet-transform algorithm (à trous algorithme) is considered. These transforms are recommended for use in combination with standard methods. Based on analysis of the behavior of the wavelet coefficients, a method to localize the peaks and to determine the positions of maxima is proposed. The efficiency of the use of non-traditional wavelet transforms for the filtration and compression of spectral data and the localization of peaks, in particular, for neutron-scattering spectra, is demonstrated.