Title :
On constructing regular filter banks from domain bounded polynomials
Author :
Tolhuizen, L.M.G.M. ; Shah, I.A. ; Kalker, A.A.C.M.
Author_Institution :
Philips Res. Lab., Eindhoven, Netherlands
fDate :
2/1/1994 12:00:00 AM
Abstract :
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 polynomials to multidimensional bi-orthogonal filter banks is presented
Keywords :
approximation theory; multidimensional digital filters; polynomials; domain bounded polynomials; multidimensional biorthogonal filter banks; polynomials design; regular filter banks construction; two-channel biorthogonal filter bank; Channel bank filters; Delay; Filter bank; Image coding; Image reconstruction; Lagrangian functions; Low pass filters; Multidimensional systems; Polynomials; Process design;
Journal_Title :
Signal Processing, IEEE Transactions on
