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A recently proposed strategy of selecting samples for a unique reconstruction of a signal is analyzed in this paper. The considered signal is sparse in the discrete Fourier transform (DFT) domain. Since the problem is of theoretical importance, we use the basic direct search method for the reconstruction and comparisons of sampling strategies. It is shown that, by using the proposed sampling strategy...
Sparse signals corrupted by impulsive disturbances are considered. The assumption about disturbances is that they degrade the original signal sparsity. No assumption about their statistical behavior or range of values is made. In the first part of the paper, it is assumed that some uncorrupted signal samples exist. A criterion for selection of corrupted signal samples is proposed. It is based on the...
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