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Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals

Author

Listed:
  • Ying Luo
  • Qun Zhang
  • Guozheng Wang
  • Youqing Bai

Abstract

Compressive sensing (CS) reconstruction of a spectrum-sparse signal from undersampled data is, in fact, an ill-posed problem. In this paper, we mathematically prove that, in certain cases, the exact CS reconstruction of a spectrum-sparse signal from undersampled data is impossible. Then we present the exact CS reconstruction condition of undersampled spectrum-sparse signals, which is valuable for digital signal compression.

Suggested Citation

  • Ying Luo & Qun Zhang & Guozheng Wang & Youqing Bai, 2013. "Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, December.
    • Handle: RePEc:hin:jnljam:715848
    DOI: 10.1155/2013/715848
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