Multidimensional periodic discrete wavelets
P. A. Andrianov · International Journal of Wavelets Multiresolution and Information Processing · 2021
In this paper, the definition of a periodic discrete multiresolution analysis is provided. The characterization of such systems is obtained in terms of properties of scaling sequences. Wavelet systems generated by such multiresolution analyses are defined and described. Decomposition and reconstruction formulas for the associated discrete wavelet transform are provided.