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Sampling Theorem for Multiwavelet Subspaces
多小波子空间采样定理

Keywords: Reproducing kernel,Multiwavelet,Multiwavelet subspaces,Sampling theorem
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,多小波,多小波子空间,采样定理

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Abstract:

In this paper, the multiwavelet sampling theorem from Walter?s wavelet sampling theorem by reproducing kernel is generalized. The reconstruction function can be expressed by multiwavelet using Zak transform. Then the general case of the irregular sampling is considered and the irregular sampling theorem for multiwavelet subspaces is established. Finally, the corresponding examples are given.

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