Abstract
The support recovery performance of orthogonal matching pursuit (OMP) for the l ∞ bounded noise is presented. It is shown that OMP can exactly recover the support of arbitrary K-sparse signal x from noisy measurements y = Φ x + e in K iterations, provided that the matrix Φ and the minimum magnitude of all the non-zero elements of x satisfy certain requirements. The proposed result is an improvement over the existing ones.
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