Abstract: Provided is a method and apparatus for support recovery of jointly sparse signals from a plurality of snapshots, thereby enhancing a capability for reconstructing a support in a variety of circumstances, by providing enhanced robustness against noise and perturbation, and/or enhanced computational efficiency. The method may include partial support recovery using a compressed sensing-multiple measurement vector (CS-MMV) scheme; and a complementary support recovery and sparsity level estimation. The complementary support recovery may use subspace information extracted from the plurality of snapshots and partial support information. The total number of elements in the partial support and in the complementary support may be equal to the sparsity level.