摘要
Weighted ■_(p)(0<p<l)minimization has been extensively studied as an effective way to reconstruct a sparse signal from compressively sampled measurements when some prior support information of the signal is available.In this paper,we consider the recovery guarantees of Κ-sparse signals via the weighted ■_(p)(0<P<1)minimization when arbitrarily many support priors are given.Our analysis enables an extension to existing works that assume only a single support prior is used.
基金
supported by the NSF of China(Nos.11871109,11901037 and 11801509)
NSAF(Grant No.U1830107),CAEP Foundation(Grant No.CX20200027).