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| Content Provider | IET Digital Library |
|---|---|
| Author | 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. |
| Starting Page | 783 |
| Ending Page | 791 |
| Page Count | 9 |
| ISSN | 17519675 |
| Volume Number | 8 |
| e-ISSN | 17519683 |
| Issue Number | Issue 7, Sep (2014) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-spr/8/7 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2013.0260 |
| Journal | IET Signal Processing |
| Publisher Date | 2014-05-21 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | ADMM Algorithm Alternating Direction Method of Multipliers Bounded Perturbation Bounded Uncertainty Compressed Sensing Convex Optimisation Problem Convex Programming Estimation Theory Interpolation And Function Approximation Least Mean Squares Method Linear Algebra Matrix Multiplication Minimisation Numerical Analysis Optimisation Technique Perturbation Technique Recovery Error Reduction Robust Compressed Sensing Problem Robust Signal Recovery Robust Support Set Estimation Sensing Matrix Signal Magnitude Recovery Signal Processing And Detection Signal Processing Theory Standard Robust Regularised Least Square Problem Structured Perturbation Structured Uncertainty Worst Cast Data Error Minimisation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Signal Processing Electrical and Electronic Engineering |
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