Block-sparse signal recovery based on truncated $\ell _{1}$ ℓ 1 minimisation in non-Gaussian noise

This study addresses the issue of block-sparse recovery in compressive sensing in the presence of non-Gaussian measurement noise. By using the generalised ℓp-norm noise constraint for 2 ≤ p <; ∞ to replace the popular ℓ2-norm, in this study, the authors put forward a truncated ℓ1 model for recovering block-sparse signal. A theoretical analysis is first presented to guarantee the validity of propos...