Abstract
The paper shows that if a matrix has the restricted isometry property (RIP) of order with isometry constant and if its coherence is less than , then the Orthogonal Matching Pursuit (the Orthogonal Greedy Algorithm) is capable to exactly recover an arbitrary -sparse signal from the compressed sensing in at most iterations. As a result, an arbitrary -sparse signal can be recovered by the Orthogonal Matching Pursuit from measurements.Bibliography: 23 titles.
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