Some Methods for Constructing Nonseparable, Orthonormal, Compactly Supported Wavelet Bases

Abstract

We first show that by combining monodimensional filter banks one can obtain nonseparable filter banks. We then give necessary conditions for these filter banks to generate orthonormal and regular wavelets. Finally, we establish that some of these filter banks lead to arbitrarily smooth, nonseparable, orthonormal, compactly supported wavelet bases. © 2001 Academic Press.