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Abstract: This paper develops a new class of wavelets for which the classical Daubechies zero moment property has been relaxed. The advantages of relaxing higher order wavelet moment constraints is that within the framework of compact support and perfect reconstruction (orthogonal and biorthogonal) one can obtain wavelet basis with new and interesting approximation properties. This paper investigates a new class of wavelets that is obtained by setting a few lower order moments to zero and using the... (Update)
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BibTeX entry: (Update)
@inproceedings{ odegard96new,
author = "J. E. Odegard and C. S. Burrus",
title = "New class of wavelets for signal approximation",
booktitle = "{IEEE} Proc. Int. Symp. Circuits and Systems",
address = "Atlanta, GA",
year = "1996",
url = "citeseer.ist.psu.edu/767267.html" }
Citations (may not include all citations):770 Orthonormal bases of compactly supported wavelets (context) - Daubechies - 1988
297 Fast wavelet transforms and numerical algorithms (context) - Beylkin, Coifman et al. - 1991
93 Exact reconstruction techniques for tree-structured subband .. (context) - Smith - 1986
55 Simple regularity criteria for subdivision schemes - Rioul - 1992
20 Spectral theory of multiresolution operators and application.. - Heller, Wells - 1993
14 Regular wavelets: A discrete-time approach (context) - Rioul - 1993
6 the moments of the scaling function - Gopinath, Burrus - 1992
6 The design of maximally smooth wavelets - Lang, Heller - 1996
6 Discrete finite variation: A new measure of smoothness for t.. - Odegard, Burrus - 1996
5 smoothness and optimization of wavelet systems (context) - Odegard - 1996
2 Approximate moments and regularity of efficiently implemente.. - Gotze, Odegard et al. - 1996
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