The Zak transform and sampling theorems for wavelet subspaces

Abstract

The Zak transform is used for generalizing a sampling theorem of G. Walter for wavelet subspaces. Cardinal series based on signal samples f(a + n), n E 2 with a possibly unequal to 0 (Walter’s case) are considered. The condition number of the sampling operator and worst-case aliasing errors are expressed in terms of Zak transforms of scaling function and… (More)
DOI: 10.1109/78.258079

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@article{Janssen1993TheZT, title={The Zak transform and sampling theorems for wavelet subspaces}, author={Augustus J. E. M. Janssen}, journal={IEEE Trans. Signal Processing}, year={1993}, volume={41}, pages={3360-3364} }