On constructing regular filter banks from domain bounded polynomials

Ludo Tolhuizen, I.A. Shah, A.A.C.M. Kalker · IEEE Transactions on Signal Processing · 1994

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 /spl lsqb//spl minus/1,1/spl rsqb/. Techniques for designing polynomials satisfying various constraints are outlined. Transformation of polynomials to multidimensional bi-orthogonal filter banks is presented.>

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