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A new bound on the block restricted isometry constant in compressed sensing
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ma, Mingde |
| Copyright Year | 2017 |
| Abstract | This paper focuses on the sufficient condition of block sparse recovery with the l2/l1$l_{2}/l_{1}$-minimization. We show that if the measurement matrix satisfies the block restricted isometry property with δ2s|I<0.6246$\delta_{2s|\mathcal{I}}< 0.6246$, then every block s-sparse signal can be exactly recovered via the l2/l1$l_{2}/l_{1}$-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 δ2s|I$\delta_{2s|\mathcal {I}}$ of Lin and Li (Acta Math. Sin. Engl. Ser. 29(7):1401-1412, 2013). |
| File Format | PDF HTM / HTML |
| DOI | 10.1186/s13660-017-1448-2 |
| Alternate Webpage(s) | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-017-1448-2?site=journalofinequalitiesandapplications.springeropen.com |
| PubMed reference number | 28824261 |
| Alternate Webpage(s) | https://doi.org/10.1186/s13660-017-1448-2 |
| Journal | Medline |
| Volume Number | 2017 |
| Journal | Journal of inequalities and applications |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
