l1–2 minimisation for compressed sensing with partially known signal support.

Published in Electronics Letters, 2020

In this study, we mainly discuss the robust signal recovery by l1−2 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 l1−2 minimisation exhibits better recovery performance than standard l1−2 minimisation.

Recommended citation: Jing Zhang, Shuguang Zhang and Xuran Meng, "l1–2 minimisation for compressed sensing with partially known signal support." Electronics Letters 56, 2020.
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