Restricted \(p\)-isometry properties of partially sparse signal recovery
Summary: By generalizing the restricted \(p\)-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial \(l_p\) minimization (truncated \(l_p\) minimization) problem with \(p \in (0, 1]\). Based on this, we establish a simpler sufficient condition which can show how the \(p\)-RIP bounds vary corresponding to different \(p\)s.
scientific article; zbMATH DE number 6175109
scientific article