Abstract
We consider the problem of reconstructing a real sparse coefficient θ of a transfer function under the orthogonal rational functions from a limit number of linear measurements. Given m randomly selected samples of Φθ, where Φ is a sample matrix constructed by orthogonal rational functions at samples in the unit circle, we show that ℓ1 minimization can recover the coefficient θ from the real part model or the imaginary part model for the real and imaginary part of Φ have the similar structure of the orthogonal matrix.
Original language | English |
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Title of host publication | 2014 11th World Congress on Intelligent Control and Automation (WCICA) |
Editors | Hong Wang |
Place of Publication | Piscataway NJ USA |
Publisher | IEEE, Institute of Electrical and Electronics Engineers |
Pages | 2340 - 2345 |
Number of pages | 6 |
ISBN (Print) | 9781479958269 |
DOIs | |
Publication status | Published - 2015 |
Event | World Congress on Intelligent Control and Automation 2014 - Shenyang, China Duration: 29 Jun 2014 → 4 Jul 2014 Conference number: 11th |
Conference
Conference | World Congress on Intelligent Control and Automation 2014 |
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Abbreviated title | WCICA 2014 |
Country/Territory | China |
City | Shenyang |
Period | 29/06/14 → 4/07/14 |
Keywords
- Compressed sensing
- Orthogonal rational function
- System identification
- TM basis