期刊
SIGNAL PROCESSING
卷 104, 期 -, 页码 188-196出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2014.03.040
关键词
Compressed sensing; Block-sparse signal recovery; Mixed l(2)/l(p)-minimization; Restricted p-isometry properties; Gaussian measurements
资金
- Natural Science Foundation of China [61273020, 61075054]
- National 973 Project of China [2013CB329404]
In this paper, by generalizing the notion of restricted p-isometry constant (0 < p <= 1) defined by Chartrand and Staneva [1] to the setting of block-sparse signal recovery, we establish a general restricted p-isometry property (p-RIP) condition for recovery of (nearly) block-sparse signals via mixed l(2)/l(p)-minimization. Moreover, we derive a lower bound on the necessary number of Gaussian measurements for the p-RIP condition to hold with high probability, which shows clearly that fewer measurements with smaller p are needed for exact recovery of block-sparse signals via mixed l(2)/l(p)-minimization than when p=1. (C) 2014 Elsevier B.V. All rights reserved.
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