Presented at the 1997 IEEE Asilomar Conference on Signals, Systems, and Computers

Generalized Coiflets: A New Family of Orthonormal Wavelets

Dong Wei, Brian L. Evans, and Alan C. Bovik

Department of Electrical and Computer Engineering, Engineering Science Building, The University of Texas at Austin, Austin, TX 78712-1084 USA
bevans@ece.utexas.edu - bovik@ece.utexas.edu

Abstract

We generalize an existing family of wavelets, coiflets, by replacing the zero-centered vanishing moment condition on scaling functions by a nonzero-centered one in order to obtain a novel class of compactly supported orthonormal wavelets (we call them generalized coiflets). This generalization offers an additional free parameter, i.e., the center of mass of scaling function, which can be tuned to obtain improved characteristics of the resulting wavelet system such as near-symmetry of the scaling functions and wavelets, near-linear phase of the filterbanks, and sampling approximation properties. Therefore, these new wavelts are promising in a broad range of applications in signal processing and numerical analysis.

The full paper is available in PDF format.

Last Updated 11/08/04.