STABLE RECOVERY OF SPARSELY CORRUPTED SIGNALS THROUGH JUSTICE PURSUIT DE-NOISING  

作　　者：Ningning Li Wengu Chen Huanmin Ge 

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing 100088,China [2]Beijing Sport University,Beijing 100084,China

出　　处：《Journal of Computational Mathematics》2024年第1期271-288,共18页计算数学（英文）

基　　金：supported by the NSF of China(Grant Nos.12271050,11871109,11901037);by the CAEP Foundation(Grant No.CX20200027);by the Key Laboratory of Computational Physics Foundation(Grant No.6142A05210502).

摘　　要：This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse representation in a second general dictionary and measurement noise.We provide new restricted isometry property(RIP)analysis to achieve stable recovery of sparsely corrupted signals through Justice Pursuit De-Noising(JPDN)with an additional parameter.Our main tool is to adapt a crucial sparse decomposition technique to the analysis of the Justice Pursuit method.The proposed RIP condition improves the existing representative results.Numerical simulations are provided to verify the reliability of the JPDN model.

关 键 词：Justice Pursuit De-Noising Restricted isometry property Corrupted compressed sensing Signal recovery 

分 类 号：O24[理学—计算数学]