A sampling theorem for wavelet subspaces

Authors:
G. G. Walter
Affiliations:
Dept. of Math. Sci., Wisconsin Univ., Milwaukee, WI
Venue:
IEEE Transactions on Information Theory - Part 2
Year:
2006

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Abstract

The classical Shannon sampling theorem is extended to the subspaces used in the multiresolution analysis in wavelet theory. Under weak hypotheses, these subspaces are first shown to have a Riesz basis formed from the reproducing kernels. These in turn are used to construct the sampling sequences. Examples are given