Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-03-19
Phys.Atom.Nucl.68:508-520,2005; Yad.Fiz.68:537-549,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 5 figures, Latex, Phys. Atom. Nucl
Scientific paper
10.1134/1.1891202
The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied. Then one proceeds to the multiresolution analysis and fast wavelet transform as a standard procedure for dealing with discrete wavelets. It is shown which specific features of signals (functions) can be revealed by this analysis, but can not be found by other methods (e.g., by the Fourier expansion). Finally, some examples of practical application are given (in particular, to analysis of multiparticle production}. Rigorous proofs of mathematical statements are omitted, and the reader is referred to the corresponding literature.
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