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.
Citation
Ying Luo. Qun Zhang. Guozheng Wang. Youqing Bai. "Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals." J. Appl. Math. 2013 (SI02) 1 - 6, 2013. https://doi.org/10.1155/2013/715848
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