Reconstruction analysis of block-sparse signal via truncated $\ell _2/\ell _1$ ℓ 2 / ℓ 1 -minimisation with redundant dictionaries

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 ...