Title :
Coiflet systems and zero moments
Author :
Burrus, C. Sidney ; Odegard, Jan E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
fDate :
3/1/1998 12:00:00 AM
Abstract :
The Coifman wavelets created by Daubechies (1992) 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 :
functional analysis; signal representation; wavelet transforms; Coiflet systems; Coifman wavelets; Daubechies wavelets; nonunique solutions; scaling function; signal expansion; signal representation; systems partitioning; wavelet moments; zero moments; Algorithm design and analysis; Circuits; Convergence; Filter bank; Iterative algorithms; Mirrors; Nonlinear filters; Signal processing; Signal processing algorithms; Speech processing;
Journal_Title :
Signal Processing, IEEE Transactions on
