Construction of Orthogonal Multiwavelets on -1,1 by Using the Special Matrices

摘要

Orthogonal multiwavelets have become powerful tool of signal processing. In this paper, we devote to study constructing orthogonal multiwavelet with multiplicity 2r and high vanishing moment associated with the special matrices. First we derive the related scaling function with high order of sum rules by employing CBC algorithm. Further, we obtain the orthogonal multiwavelet on [-1,1] with desirable properties such as symmetry and anti-symmetry and high vanishing moment. The method is simple and can be implemented efficiently.