Title :
A sampling theorem for wavelet subspaces
Author_Institution :
Dept. of Math. Sci., Wisconsin Univ., Milwaukee, WI, USA
fDate :
3/1/1992 12:00:00 AM
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.<>
Keywords :
information theory; signal processing; transforms; Riesz basis; Shannon sampling theorem; multiresolution analysis; reproducing kernels; signal analysis; subspaces; wavelet theory; Continuous wavelet transforms; Equations; Fourier transforms; Hilbert space; Kernel; Multiresolution analysis; Sampling methods; Wavelet analysis;
Journal_Title :
Information Theory, IEEE Transactions on
