Theory and design of multidimensional QMF sub-band filters from 1-D filters using transforms

Presents the general theory of designing multidimensional Quadrature Mirror Filters (QMF), for use in sub-band coding (SBC) systems, using the McClellan transform. It was recently shown that McClellan transform could be used to generate 2-D diamond shape QMF filters. In the paper the authors formalize the proofs of the diamond shape case, and generalize it to other shapes, sampling rasters and dimensions. Examples are given of two dimensional diamond shape filters and three dimensional tetrad filters designed using the technique