Wavelet systems with zero moments

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.

[1]  J.E. Odegard,et al.  New class of wavelets for signal approximation , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[2]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[3]  Jan E. Odegard,et al.  Coiflet systems and zero moments , 1998, IEEE Trans. Signal Process..

[4]  G. Beylkin On the representation of operators in bases of compactly supported wavelets , 1992 .

[5]  R. A. Gopinath C. S. Burrus ON THE MOMENTS OF THE SCALING FUNCTION 0 , .

[6]  R. Coifman,et al.  Fast wavelet transforms and numerical algorithms I , 1991 .

[7]  Theresa A. Tuthill,et al.  Book Rvw: Adapted Wavelet Analysis from Theory to Software. By Mladen Victor Wickerhauser , 1995 .

[8]  C. S. Burrus,et al.  Wavelet transforms and filter banks , 1993 .

[9]  Peter N. Heller,et al.  The design of maximally smooth wavelets , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[10]  Michael Unser Approximation power of biorthogonal wavelet expansions , 1996, IEEE Trans. Signal Process..

[11]  Ramesh A. Gopinath,et al.  On the Moments of the Scaling Function psi_0 , 1992 .

[12]  I. Daubechies Orthonormal bases of compactly supported wavelets II: variations on a theme , 1993 .

[13]  Jun Tian,et al.  The mathematical theory and applications of biorthogonal Coifman wavelet systems , 1996 .

[14]  C S Burrus,et al.  ON THE MOMENTS OF THE SCALING FUNCTION , 1992 .

[15]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .