Restricted p -isometry properties of partially sparse signal recovery

摘要

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 (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.