Abstract
This paper provides a new theoretical support for block sparse recovery. By embedding prior support information into the block [Formula: see text] minimization with [Formula: see text], we establish a sufficient condition on block [Formula: see text]-restricted isometry property (RIP) to guarantee the stable and robust recovery of block sparse signals, as well as obtain a corresponding upper bound estimate of the error. The obtained result not only generalizes the existing ones, but also shows that the block [Formula: see text] minimization with prior support information behaves robust and stable recovery performance under weaker condition than the analogous one for the block [Formula: see text] minimization if more than [Formula: see text] of the support information is accurate.
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