Presented at the
1997 IEEE Asilomar Conference on Signals, Systems, and Computers
Generalized Coiflets: A New Family of Orthonormal Wavelets
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
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
Last Updated 11/08/04.