Lattice structure for two-band perfect reconstruction filter banks using Pade approximation

Abstract

We show how the Pade table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) filter banks. This is achieved through characterization of all two-channel bi-orthogonal PR filter banks. The parameter space found using this method is unique for each filter bank. Similarly to any other lattice structure, the PR property is achieved structurally and quantization of the parameters of the lattice does not effect this property. Furthermore, we demonstrate that for a given filter, the set of all complementary filters can be uniquely specified by two parameters, namely the end-to-end delay of the system and a scalar quantity.