Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity

Details Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity

1998-07-16

arxiv.org/abs/math/9807089v1

Mathematics

Classical Analysis and ODEs

18 pages, 8 figures

Scientific paper

Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (pi/2,\pi). The results improve those obtained by I. Daubechies [Comm. Pure Appl. Math. 41 (1988), 909-996], H. Volkmer [SIAM J. Math. Anal. 26 (1995), 1075-1087], and P. G. Lemarie-Rieusset and E. Zahrouni [Appl. Comput. Harmon. Anal. 5 (1998), 92-105].

Affiliated with

Also associated with

No associations

Rating

Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-76816