Abstract
This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of prior knowledge are available. In each case, we provide conditions for stable signal recovery from structured corruption with added unstructured noise. The key ingredient in our analysis is an extended matrix deviation inequality for isotropic sub-Gaussian matrices.
| Original language | English |
|---|---|
| Title of host publication | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 516-520 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781509040964 |
| DOIs | |
| Publication status | Published - 9 Aug 2017 |
| Event | 2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany Duration: 25 Jun 2017 → 30 Jun 2017 |
Publication series
| Name | IEEE International Symposium on Information Theory - Proceedings |
|---|---|
| ISSN (Print) | 2157-8095 |
Conference
| Conference | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
|---|---|
| Country/Territory | Germany |
| City | Aachen |
| Period | 25/06/17 → 30/06/17 |
Keywords
- Compressed sensing
- Corrupted sensing
- Extended matrix deviation inequality
- Gaussian width
- Signal separation
- Sub-Gaussian
Fingerprint
Dive into the research topics of 'Corrupted sensing with sub-Gaussian measurements'. Together they form a unique fingerprint.Cite this
Chen, J., & Liu, Y. (2017). Corrupted sensing with sub-Gaussian measurements. In 2017 IEEE International Symposium on Information Theory, ISIT 2017 (pp. 516-520). Article 8006581 (IEEE International Symposium on Information Theory - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2017.8006581