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Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets

Published online by Cambridge University Press:  17 February 2009

Yang Shouzhi
Yang Shouzhi
Affiliation:
Dept of Maths Shantou UniversityShantou 515063 P.R. Chinaszyang@stu.edu.cn.
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A method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorthogonal multiwavelets is obtained. A multiwavelet sampling theorem is also established. In addition, we improve the stability of the biorthogonal interpolatory multiwavelet frame by the linear combination of a pair of biorthogonal interpolatory multiwavelets. Finally, we give an example illustrating how to use our method to construct biorthogonal interpolatory multiscaling functions and corresponding multiwavelets.

Keywords

biorthogonalinterpolatorymultiscaling functionsmultiwaveletsframe
Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 1 , July 2007 , pp. 85 - 97
Copyright
Copyright © Australian Mathematical Society 2007

References

references

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