language: en

Theory and Design of Multidimensional QMF Sub-Band Filters From 1-D Filters Using Transforms

I.A. Shah A.A.C. Kalker
Philips Research Laboratories,
P.O. Box 80.000, 5600 JA Eindhoven, The Netherlands
Net: kalker@prl.philips.nl, shah@prl.philips.nl

Abstract The paper presents the general theory of designing multidimensional Quadrature Mirror Filters (QMF), for use in sub-band coding (SBC) systems, using the McClellan transform [1]. It was recently shown that McClellan transform could be used to generate 2-D diamond shape QMF filters [2]. In this paper we will 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.

1 Introduction