Some results on OMP algorithm for MMV problem

In this paper, the robustness of the orthogonal matching pursuit (OMP) algorithm for multiple measurement vector (MMV) problem under the restricted isometry property (RIP) is presented. Moreover, it is shown that the OMP algorithm can exactly recover K‐row sparse matrices in K iterations under the R...

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Veröffentlicht in:Mathematical methods in the applied sciences 2022-06, Vol.45 (9), p.5402-5411
Hauptverfasser: Zhang, Xiwen, Xie, Liejun, Wang, Jinping
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, the robustness of the orthogonal matching pursuit (OMP) algorithm for multiple measurement vector (MMV) problem under the restricted isometry property (RIP) is presented. Moreover, it is shown that the OMP algorithm can exactly recover K‐row sparse matrices in K iterations under the RIP condition we have presented. Furthermore, the condition is sharp.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8114