期刊
JOURNAL OF INEQUALITIES AND APPLICATIONS
卷 -, 期 -, 页码 -出版社
SPRINGEROPEN
DOI: 10.1186/s13660-017-1448-2
关键词
compressed sensing; l(2)/l(1)-minimization; block sparse recovery; block restricted isometry property; null space property
资金
- Science Research Project of Ningxia Higher Education Institutions of China [NGY2015152]
- National Natural Science Foundation of China (NSFC) [11561055]
- Science Research Project of Beifang University of Nationalities [2016SXKY07]
This paper focuses on the sufficient condition of block sparse recovery with the l(2)/l(1)-minimization. We show that if the measurement matrix satisfies the block restricted isometry property with delta(2s vertical bar I) < 0.6246, then every block s-sparse signal can be exactly recovered via the l(2)/l(1)-minimization approach in the noiseless case and is stably recovered in the noisy measurement case. The result improves the bound on the block restricted isometry constant delta(2s vertical bar I) of Lin and Li (Acta Math. Sin. Engl. Ser. 29(7): 1401-1412, 2013).
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