Open Access
Translator Disclaimer
2013 Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals
Ying Luo, Qun Zhang, Guozheng Wang, Youqing Bai
J. Appl. Math. 2013(SI02): 1-6 (2013). DOI: 10.1155/2013/715848

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

Download 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

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950837
Digital Object Identifier: 10.1155/2013/715848

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.2013 • No. SI02 • 2013
Back to Top