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Improved Recovery of Analysis Sparse Vectors in Presence of Prior Information

Improved Recovery of Analysis Sparse Vectors in Presence of Prior Information

In this work, we consider the problem of recovering analysis-sparse signals from under-sampled measurements when some prior information about the support is available. We incorporate such information in the recovery stage by suitably tuning the weights in a weighted $\ell_1$ analysis optimization problem. Indeed, we try to set the weights …