Rational wavelet filter banks from Blaschke product
Xuefeng Wang · International Journal of Wavelets Multiresolution and Information Processing · 2022
This note designs two kinds of rational wavelet filter banks using three basic bricks: the finite Blaschke product, Bezout polynomial and the symbol of the cardinal B-spline. In orthogonal case, the corresponding wavelets are generalization of Daubechies’ wavelets. The role of the Blaschke product is the adjustment of the peaks of wavelet functions.