ℓ 1–2 minimisation for compressed sensing with partially known signal support

In this study, the authors mainly discuss the robust signal recovery by minimisation with incorporating prior support information, which is not considered in previous works. A robust recovery condition is established and an recovery error estimation is obtained, in particular, the obtained results generalise the state‐of‐the‐art ones. In addition, by proposing a modified algorithm, the numerical experiments show that incorporating prior support information for minimisation exhibits better recovery performance than standard minimisation.