Title :
Wavelet systems with zero moments
Author :
Burrus, C. Sidney ; Odegard, Jan E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
The Coifman wavelets created by Daubechies (1992, 1993) have more zero moments than imposed by specifications. This results in systems with approximately equal numbers of zero scaling function and wavelet moments and gives a partitioning of the systems into three well defined classes. The nonunique solutions are more complex than for Daubechies wavelets
Keywords :
signal representation; signal resolution; wavelet transforms; Coifman wavelets; Daubechies wavelets; multiresolution analysis; nonunique solutions; signal representation; systems partitioning; wavelet moments; wavelet systems; zero moments; zero scaling function; Equations; Filters; Multiresolution analysis; Signal resolution; Vectors; Wavelet analysis; Wavelet coefficients;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.681744
