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Regular and Irregular Sampling Theorem for Multiwavelet Subspaces

Liu Zhanwei, Hu Guoen and Wu Guochang

Mathematical Problems in Engineering, 2010, vol. 2010, 1-18

Abstract:

We study the sampling theorem for frames in multiwavelet subspaces. Firstly, a sufficient condition under which the regular sampling theorem holds is established. Then, notice that irregular sampling is also useful in practice; we consider the general cases of the irregular sampling and establish a general irregular sampling theorem for multiwavelet subspaces. Finally, using this generalized irregular sampling theorem, we obtain an estimate for the perturbations of regular sampling in shift-invariant spaces.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:757039

DOI: 10.1155/2010/757039

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