Stable Restoration and Separation of Approximately Sparse Signals

@article{Studer2011StableRA,
  title={Stable Restoration and Separation of Approximately Sparse Signals},
  author={Christoph Studer and Richard G. Baraniuk},
  journal={CoRR},
  year={2011},
  volume={abs/1107.0420}
}
This paper develops new theory and algorithms to recover signals that are approximately sparse in some general (i.e., basis, frame, over-complete, or incomplete) dictionary but corrupted by a combination of measurement noise and interference having a sparse representation in a second general dictionary. Particular applications covered by our framework include the restoration of signals impaired by impulse noise, narrowband interference, or saturation, as well as image in-painting, super… CONTINUE READING
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