Periodic interpolating-orthogonal bases of MRA and wavelets
Е. А. Плещева · Sibirskie Elektronnye Matematicheskie Izvestiya · 2021
The paper is devoted to the construction of interpolatingorthogonal periodic bases of mutiresolution analysis and corresponding wavelets from the existing orthogonal bases of wavelets.The mask m(ω) of an orthogonal scaling function ϕ(x) is converted in such a way that the new scaling function ϕ I (x) generates an interpolation and orthogonal system of integer shifts.According to the resulting system, periodic bases of scaling functions and wavelets are constructed.