Combining Stability and Robustness in Reconstruction Problems via l(q) (0 < q <= 1) Quasinorm Using Compressive Sensing

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초록

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.

키워드

compressive sensing; reconstruction; stability; robustness; null space property; SIGNAL RECOVERY; SPARSE SIGNALS; PROPERTY
제목
Combining Stability and Robustness in Reconstruction Problems via l(q) (0 < q <= 1) Quasinorm Using Compressive Sensing
저자
Nguyen, Thu L. N.; Shin, Yoan
DOI
10.1587/transfun.E97.A.894
발행일
2014-03
유형
Article
저널명
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
권
E97A
호
3
페이지
894 ~ 898