Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals | Zendy

Ying Luo | Zendy; Qun Zhang | Zendy; Guozheng Wang | Zendy; You-qing Bai | Zendy

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Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals

Author(s) -

Ying Luo,

Qun Zhang,

Guozheng Wang,

You-qing Bai

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/715848

Subject(s) - compressed sensing , signal reconstruction , spectrum (functional analysis) , signal (programming language) , computer science , algorithm , mathematics , signal processing , digital signal processing , physics , quantum mechanics , computer hardware , programming language

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

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