On the Recovery Limit of Sparse Signals Using Orthogonal Matching Pursuit

@article{Wang2012OnTR,
  title={On the Recovery Limit of Sparse Signals Using Orthogonal Matching Pursuit},
  author={Jian Wang and Byonghyo Shim},
  journal={IEEE Transactions on Signal Processing},
  year={2012},
  volume={60},
  pages={4973-4976}
}
Orthogonal matching pursuit (OMP) is a greedy search algorithm popularly being used for the recovery of compressive sensed sparse signals. In this correspondence, we show that if the isometry constant δ<i>K</i>+1 of the sensing matrix Φ satisfies δ<i>K</i>+1 <; 1/(1/√<i>K</i>+1) then the OMP algorithm can perfectly recover <i>K</i>-sparse signals from the compressed measurements <b>y</b>=Φ<b>x</b>. Our bound offers a substantial improvement over the recent result of Davenport and Wakin and also… CONTINUE READING
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