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Regular and Irregular Sampling Theorem for Multiwavelet Subspaces

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  • Liu Zhanwei
  • Hu Guoen
  • Wu Guochang

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.

Suggested Citation

  • Liu Zhanwei & Hu Guoen & Wu Guochang, 2010. "Regular and Irregular Sampling Theorem for Multiwavelet Subspaces," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-18, September.
    • Handle: RePEc:hin:jnlmpe:757039
    DOI: 10.1155/2010/757039
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