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- Title
Reconstruction analysis of block‐sparse signal via truncated ℓ2/ℓ1 ‐minimisation with redundant dictionaries.
- Authors
Liu, Jiayi; Wang, Jianjun; Zhang, Feng
- Abstract
Here, the authors discuss the recovery of signals from under‐sampled data in which signals are nearly block sparse via a truncated ℓ2/ℓ1 method with redundant dictionaries. The authors show that the obtained results are better than the previous recovery result in the existence of noise. Furthermore, the authors conduct an alternating direction method of multipliers algorithm to solve the signals recovery problem. Moreover, the numerical experiments prove the strong robustness and stability of truncated ℓ2/ℓ1 method with redundant dictionaries (t ‐D ‐block ‐ℓ1) in the presence of noise.
- Publication
IET Signal Processing (Wiley-Blackwell), 2018, Vol 12, Issue 8, p1034
- ISSN
1751-9675
- Publication type
Article
- DOI
10.1049/iet-spr.2018.0004