Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class

@article{Li2016CompressedSW,
  title={Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class},
  author={Chen Li and B. Adcock},
  journal={ArXiv},
  year={2016},
  volume={abs/1601.01988}
}
  • Chen Li, B. Adcock
  • Published 2016
  • Mathematics, Computer Science
  • ArXiv
  • In compressed sensing, it is often desirable to consider signals possessing additional structure beyond sparsity. One such structured signal model - which forms the focus of this paper - is the local sparsity in levels class. This class has recently found applications in problems such as compressive imaging, multi-sensor acquisition systems and sparse regularization in inverse problems. In this paper we present uniform recovery guarantees for this class when the measurement matrix corresponds… CONTINUE READING
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