WAVELETS  WITH  A  FINITE  CLOSED  FORM  OF  REPRESENTATION

    Transformation of non-stationary signals in data systems for dynamic spectrum analysis is based on the use of wavelets (a set of  scaling and wavelet functions forming the basis for different scale subspaces, group of fil-ters and algorithms for organizing this set of components into a system). Creating the ordinary wavelet compo-nents involves infinite products and sums, hence they have no closed representation and need  fundamental cal-culations for their implementation, including approximations. We consider the method, procedures and applied constructions for wavelets having a finite closed form of representation.