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Combining Stability and Robustness in Reconstruction Problems via l(q) (0 < q <= 1) Quasinorm Using Compressive Sensing
- Authors
- Nguyen, Thu L. N.; Shin, Yoan
- Issue Date
- Mar-2014
- Publisher
- IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
- Keywords
- compressive sensing; reconstruction; stability; robustness; null space property
- Citation
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E97A, no.3, pp.894 - 898
- Volume
- E97A
- Number
- 3
- Start Page
- 894
- End Page
- 898
- ISSN
- 1745-1337
- Abstract
- Compressive sensing is a promising technique in data acquisition field. A central problem in compressive sensing is that for a given sparse signal, we wish to recover it accurately, efficiently and stably from very few measurements. Inspired by mathematical analysis, we introduce a combining scheme between stability and robustness in reconstruction problems using compressive sensing. By choosing appropriate parameters, we are able to construct a condition for reconstruction map to perform properly.
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Related Researcher
- Shin, Yo an
- College of Information Technology (Department of IT Convergence)