Recovery of Binary Sparse Signals With Biased Measurement Matrices

@article{Flinth2019RecoveryOB,
  title={Recovery of Binary Sparse Signals With Biased Measurement Matrices},
  author={Axel Flinth and Sandra Keiper},
  journal={IEEE Transactions on Information Theory},
  year={2019},
  volume={65},
  pages={8084-8094}
}
This paper treats the recovery of sparse, binary signals through box-constrained basis pursuit using biased measurement matrices. Using a probabilistic model, we provide conditions under which the recovery of both sparse and saturated binary signals is very likely. In fact, we also show that under the same condition, the solution of the boxed-constrained basis pursuit program can be found using boxed-constrained least squares. 

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