Article ID Journal Published Year Pages File Type
4633103 Applied Mathematics and Computation 2009 8 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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