Published September 2, 2019
| Version v1
Conference paper
Open
ATOMIC NORMS IN GROUP SLIDING SPARSE RECOVERY
Authors/Creators
- 1. Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
Description
This paper tackles a compressed sensing problem with the unknown signal showing a flexible block sparsity structure, where flexible means that blocks of nonzero elements have no predetermined positions and only their minimum length is known. By capitalizing on the Minkowsky functional, the related support recovery problem is written in terms of a new vector norm that outperforms the classic l 1 norm in describing the considered sparsity structure. Also, the minimum number of measurements that are needed for perfect reconstruction is estimated by the Gaussian-width analysis of the new norm.
Notes
Grant numbers : ELISA (TEC2014-59255-C3-1) and grant 2017-SGR-1479 project.© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Files
ATOMIC NORMS IN GROUP SLIDING SPARSE.pdf
Files
(263.0 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:2534b6364b25a5a494a27524e6f1813b
|
263.0 kB | Preview Download |