Abstract:
This paper is an attempt to systemize some frequently used variants of
wavelet transforms. The following classification features are proposed: a
type of input signals (discrete or continuous); a dimension of signals;
the presence of redundant information; the norm preservation, etc.
Various kinds of representations used for wavelet transforms and several
methods used commonly for processing the signals defined on bounded intervals
are introduced and compared.
Keywords:wavelet transforms, signal processing, image processing, numerical methods, fast transforms.