STABLE RECOVERY OF SIGNALS WITH THE HIGH ORDER D-RIP CONDITION  

作　　者：谌稳固 李亚玲 

机构地区：[1]Institute of Applied Physics and Computational Mathematics [2]Graduate School,China Academy of Engineering Physics

出　　处：《Acta Mathematica Scientia》2016年第6期1721-1730,共10页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11271050 and 11371183)

摘　　要：This paper establishes a high order condition on the restricted isometry property adapted to a frame D （D-RIF） for the signal recovery. It is shown that if the measurementmatrix A satisfies the D-RIP condition δtk 〈t-1/t for t 〉 1, then all signals f which aresparse in terms of a tight frame D can be recovered stably or exactly via the l1-analysis model based on y= Af ＋ z in 12 and Dantzig selector bounded noise setting.This paper establishes a high order condition on the restricted isometry property adapted to a frame D （D-RIF） for the signal recovery. It is shown that if the measurementmatrix A satisfies the D-RIP condition δtk 〈t-1/t for t 〉 1, then all signals f which aresparse in terms of a tight frame D can be recovered stably or exactly via the l1-analysis model based on y= Af ＋ z in 12 and Dantzig selector bounded noise setting.

关 键 词：compressed sensing D-restricted isometry property tight frame 

分 类 号：TN911.7[电子电信—通信与信息系统]