Block-sparse compressed sensing with partially known signal support via non-convex minimisation.

The mixed l2/lp (0 <; p ≤ 1) norm minimisation method with partially known support for recovering block-sparse signals is studied. The authors mainly extend this work on block-sparse compressed sensing by incorporating some known part of the block support information as a priori and establish sufficient restricted p-isometry property (p-RIP) conditions for exact and robust recovery. The authors' t...