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- Title
Robust compressed sensing with bounded and structured uncertainties.
- Authors
Qing, Xiangyun; Hu, Guosheng; Wang, Xingyu
- Abstract
The robust compressed sensing problem subject to a bounded and structured perturbation in the sensing matrix is solved in two steps. The alternating direction method of multipliers (ADMM) is first applied to obtain a robust support set. Unlike the existing robust signal recovery solutions, the proposed optimisation problem is convex. The ADMM algorithm that every subproblem has a global minimum is employed to solve the optimisation problem. Then, the standard robust regularised least‐squares problem restrained to the support is solved to reduce the recovery error. The numerical tests show that the proposed approach provides a robust estimation of support set, although it is conservative to recover signal magnitudes as a result of minimising the worst‐cast data error across all bounded perturbations.
- Publication
IET Signal Processing (Wiley-Blackwell), 2014, Vol 8, Issue 7, p783
- ISSN
1751-9675
- Publication type
Article
- DOI
10.1049/iet-spr.2013.0260