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Joint sparse recovery problem simultaneously recover a set of jointly sparse signals from underdetermined linear measurements. This problem is an extension of single measurement vector recovery in compressed sensing, but is generally considered to be difficult due to the mixed-norm structure. In this paper, we propose robust and efficient algorithms based on split Bregman iteration to solve the joint...
Block-sparse reconstruction, which arises from the reconstruction of block-sparse signals in structured compressed sensing, is generally considered difficult to solve due to the mixed-norm structure. In this letter, we propose an algorithm for reconstructing block-sparse signals, that is an extension of fixed point continuation in block-wise case by incorporating block coordinate descent technique...
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