Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation

@article{Sun2006NonuniformAS,
  title={Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation},
  author={Qiyu Sun},
  journal={SIAM J. Math. Analysis},
  year={2006},
  volume={38},
  pages={1389-1422}
}
From an average (ideal) sampling/reconstruction process, the question arises whether and how the original signal can be recovered from its average (ideal) samples. We consider the above question under the assumption that the original signal comes from a prototypical space modelling signals with finite rate of innovation, which includes finitely-generated shift-invariant spaces, twisted shift-invariant spaces associated with Gabor frames and Wilson bases, and spaces of polynomial splines with… CONTINUE READING
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