On sampling in shift invariant spaces

@article{Chen2002OnSI,
  title={On sampling in shift invariant spaces},
  author={Wen Chen and Shuichi Itoh and Junji Shiki},
  journal={IEEE Trans. Information Theory},
  year={2002},
  volume={48},
  pages={2802-2810}
}
In this correspondence, a necessary and sufficient condition for sampling in the general framework of shift-invariant spaces is derived. Then this result is applied, respectively, to the regular sampling and the perturbation of regular sampling in shift-invariant spaces. A simple necessary and sufficient condition for regular sampling in shift-invariant spaces is attained. Furthermore, an improved estimate for the perturbation is derived for the perturbation of regular sampling in shift… CONTINUE READING
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