Title :
Theory and design of multidimensional QMF sub-band filters from 1-D filters and polynomials using transforms
Author :
Shah, I.A. ; Kalker, A.A.C.
Author_Institution :
Philips Res. Labs., Eindhoven, Netherlands
Abstract :
The general theory of designing multidimensional quadrature mirror filters (QMF) for use in sub-band coding systems using the McClellan transform is presented. It was recently shown that the McClellan transform could be used to generate 2-D diamond-shape QMF filters (de Lameillieure et al. 1991). The proofs of the diamond-shape case are formalised and generalised to other shapes, sampling rasters and dimensions. It is possible and even more convenient to design QMF filter banks by performing transformations on a class of real-valued polynomials. Examples are given of two-dimensional diamond and fan-shape filters and three-dimensional tetrad filters designed using this transformation technique.<>
Keywords :
image coding; multidimensional digital filters; network synthesis; polynomials; simulated annealing; transforms; two-dimensional digital filters; McClellan transform; QMF filter banks; design; diamond-shape case; fan-shape filters; image coding; multidimensional QMF sub-band filters; polynomials; sampling rasters; simulated annealing; three-dimensional tetrad filters; two-dimensional filters;
Journal_Title :
Communications, Speech and Vision, IEE Proceedings I
