Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1555-1565.

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Exact Support Recovery of Sparse Signals from Noisy Measurements

Min Fu(),Jiajun Hao(),Liejun Xie(),Jinping Wang*()   

  1. School of Mathematics and Statistics, Ningbo University, Zhejiang Ningbo 315211
  • Received:2020-03-09 Online:2021-10-26 Published:2021-10-08
  • Contact: Jinping Wang;;;
  • Supported by:
    the NSFC(62071262)


In this paper, we presents an improved OMP algorithm. Then the sparse reconstruction problem of OMP algorithm under the influence of the noise is studied. The conditions of SNR parameters for sparse reconstruction are obtained. Finnally, numerical simulation is used to verify the above conclusions.

Key words: CS OMP algorithm, Sparse reconstruction, Signal-to-Noise Ratio

CLC Number: 

  • O175.5