Luo, Ying; Zhang, Qun; Wang, Guozheng; Bai, Youqing Exact CS reconstruction condition of undersampled spectrum-sparse signals. (English) Zbl 1397.94020 J. Appl. Math. 2013, Article ID 715848, 6 p. (2013). Summary: 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. MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) PDF BibTeX XML Cite \textit{Y. Luo} et al., J. Appl. Math. 2013, Article ID 715848, 6 p. (2013; Zbl 1397.94020) Full Text: DOI OpenURL