Lmgm. Tolhuizen et al., ON CONSTRUCTING REGULAR FILTER BANKS FROM DOMAIN BOUNDED POLYNOMIALS, IEEE transactions on signal processing, 42(2), 1994, pp. 451-456
The design of regular two-channel bi-orthogonal filter banks is shown
to be reducible to the design of pairs of real polynomials with domain
bounded to the interval [-1,1]. Techniques for designing polynomials
satisfying various constraints are outlined. Transformation of polynom
ials to multidimensional bi-orthogonal filter banks is presented.