Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

Abstract

Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result

DOI: 10.1109/TIT.2006.881704

Cite this paper

@article{Zhao2006PerturbationOR, title={Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames}, author={Ping Zhao and Chun Zhao and Peter G. Casazza}, journal={IEEE Transactions on Information Theory}, year={2006}, volume={52}, pages={4643-4648} }