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.
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Original Russian Text © M.A. Goroshko, S.E. Stepanov, 2016, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2016, No. 5, pp. 17–22.
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Goroshko, M.A., Stepanov, S.E. Determination of the characteristics of the spectra of neutron scattering for tungsten using the wavelet transform. J. Surf. Investig. 10, 480–485 (2016). https://doi.org/10.1134/S1027451016030101
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DOI: https://doi.org/10.1134/S1027451016030101