Sparse signals recovery from noisy measurements by orthogonal matching pursuit

Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matchingpursuit (OMP) is one of the most effective algorithm. In this paper, we use the restricted isometry property to analysis OMP. We showthat, under certain conditions based on the restricted isometry property and the signals, OMP will recover the support of the sparsesignal when measurements are corrupted by additive noise.