Nonuniform sampling/oversampling and extensions for wavelet subspaces

In this paper, we generalize existing sampling theory for wavelet subspaces, in several directions. These new schemes allow for compactly supported synthesizing and scaling functions, which was not possible before. All the problems are treated in a unified way using multirate filter banks. This offers simple and efficient implementations of the algorithms. This new possibility of having compactly supported synthesizing functions is used for very efficient computation of inner products in multiresolution subspaces.<
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