A Further Characterization on the Sampling Theorem for Wavelet Subspaces

  • Authors:

  • Xiuzhen Li;Deyun Yang

  • Affiliations:

  • Department of Radiology, Taishan Medical University, Taian 271000, China;Department of Information Science and Technology, Taishan University, Taian 271000, China

  • Venue:
  • ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
  • Year:
  • 2007

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Abstract

Sampling theory is one of the most powerful results in signal analysis. The objective of sampling is to reconstruct a signal from its samples. Walter extended the Shannon sampling theorem to wavelet subspaces. In this paper we give a further characterization on some shift-invariant subspaces, especially the closed subspaces on which the sampling theorem holds. For some shift-invariant subspaces with sampling property, the sampling functions are explicitly given.