Abstract
In this study, the authors mainly discuss the robust signal recovery by l 1 − 2 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 l 1 − 2 minimisation exhibits better recovery performance than standard l 1 − 2 minimisation.
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