TY - JOUR A2 - Gao, Feng AU - Luo, Ying AU - Zhang, Qun AU - Wang, Guozheng AU - Bai, Youqing PY - 2013 DA - 2013/12/31 TI - Exact CS Reconstruction Condition of Undersampled Spectrum-Sparse Signals SP - 715848 VL - 2013 AB - 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. SN - 1110-757X UR - https://doi.org/10.1155/2013/715848 DO - 10.1155/2013/715848 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -