Orthogonal Multiwavelets with Dilation Factor a

Authors:
Shouzhi Yang;Zhengxing Cheng;Hongyong Wang
Affiliations:
-;-;-
Venue:
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
Year:
2001

Citing 4
Cited 0

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Abstract

There are perfect construction formulas for the orthonormal uniwavelet. However, it seems that there is not such a good formula with similar structure for multiwavelets. Especially, construction of multiwavelets with dilation factor a(a 驴 2, a 驴 Z) lacks effective methods. In this paper, a procedure for constructing compactly supported orthonormal multiscale functions is first given, and then based on the constructed multiscale functions, we propose a method of constructing multiwavelets, which is similar to that of uniwavelet. Finally, we give a specific example illustrating how to use our method to construct multiwavelets.