Exact CS Reconstruction Condition of Undersampled Spectrum‐Sparse Signals

Ying Luo, Qun Zhang, Guozheng Wang and Youqing Bai

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/715848

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:715848

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