Uncertainty Relations for Shift-Invariant Analog Signals

@article{Eldar2009UncertaintyRF,
  title={Uncertainty Relations for Shift-Invariant Analog Signals},
  author={Yonina C. Eldar},
  journal={IEEE Transactions on Information Theory},
  year={2009},
  volume={55},
  pages={5742-5757}
}
The past several years have witnessed a surge of research investigating various aspects of sparse representations and compressed sensing. Most of this work has focused on the finite-dimensional setting in which the goal is to decompose a finite-length vector into a given finite dictionary. Underlying many of these results is the conceptual notion of an uncertainty principle: a signal cannot be sparsely represented in two different bases. Here, we extend these ideas and results to the analog… CONTINUE READING
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