期刊
ACTA MATHEMATICA SINICA-ENGLISH SERIES
卷 29, 期 7, 页码 1401-1412出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10114-013-1564-y
关键词
Compressed sensing; block RIP; block sparsity; mixed l(2)/l(1) minimization
资金
- National Natural Science Foundation of China [11171299, 91130009]
- Natural Science Foundation of Zhejiang Province of China [Y6090091]
We consider efficient methods for the recovery of block sparse signals from underdetermined system of linear equations. We show that if the measurement matrix satisfies the block RIP with delta (2) s < 0.4931, then every block s-sparse signal can be recovered through the proposed mixed l (2)/l (1)-minimization approach in the noiseless case and is stably recovered in the presence of noise and mismodeling error. This improves the result of Eldar and Mishali (in IEEE Trans. Inform. Theory 55: 5302-5316, 2009). We also give another sufficient condition on block RIP for such recovery method: delta (s) < 0.307.
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