Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633103 | Applied Mathematics and Computation | 2009 | 8 Pages |
Abstract
For the construction of multiwavelets, there are no unified, explicit formulas as that in the scalar case available so far. In this paper, by studying the relationship between length 3 and length 4 filter sequences of orthogonal multiwavelets based on the result of Chui for the construction of length 3 orthogonal multiwavelets, a set of explicit formulas is given for the construction of length 4 high-pass filter sequence. Examples demonstrate that our proposed approach not only provides explicit formulas for the construction of length 4 high-pass filter sequence with multiplicity r , but also yields a set of new low-pass and high-pass filter sequences with length 3 and multiplicity 2r2r.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yi-Gang Cen, Li-Hui Cen,