An improved RIP-based performance guarantee for sparse signal recovery via simultaneous orthogonal matching pursuit

Recently, based on restricted isometry property (RIP), some sufficient conditions for exact support recovery with simultaneous orthogonal matching pursuit (SOMP) algorithm have been proposed when measurement matrices are different. In this paper, in the noiseless case, one sufficient condition for exact support recovery with SOMP is presented to improve the existing results. By using a counter example, in the noiseless case, an open problem presented in (Xu et. al, 2015) is solved.