Abstract
Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via maximizing the correlation between the prior knowledge and the desired signal. We then present a geometric analysis for the proposed method under sub-Gaussian measurements. Our results reveal that if the prior information is good enough, then the proposed approach can improve the performance of the standard CS. Simulations are provided to verify our results.
Original language | English |
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Title of host publication | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 221-225 |
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 |
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ISSN (Print) | 2157-8095 |
Conference
Conference | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
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Country/Territory | Germany |
City | Aachen |
Period | 25/06/17 → 30/06/17 |
Keywords
- Compressed sensing
- Gaussian width
- Maximizing correlation
- Prior information