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    Robust compressed sensing in Gaussian noise environment by resampling with replacement 

    Vorapoj Patanavijit; Duangrat Gansawaf; Parichat Sermwuthisarn; Supatana Auethavekiat (2012)

    A reconstruction method using the ensemble of compressed measurement signals is proposed for reconstructing the image from the signal corrupted by Gaussian noise. The ensemble is created from one signal under the assumption that an image is highly redundant; hence, it is approximated as the mixture of a number of signals. The proposed method adopted the sampling with replacement in bootstrapping to extract L signals from the mixture. The extracted L signals from the ensemble of signals corrupted by Gaussian noise with the same mean and variance. ...