Improved sufficient condition of l1-2-minimisation for robust signal recovery

被引：18
|
作者：
Wang, Wendong [1 ]
Wang, Jianjun [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Southwest Univ, Coll Artificial Intelligence, Chongqing 400715, Peoples R China
来源：
ELECTRONICS LETTERS | 2019年 / 55卷 / 22期
基金：
中国博士后科学基金;
关键词：
compressed sensing; minimisation; matrix algebra; restricted orthogonality property; improved sufficient condition; robust signal recovery; restricted isometry property; l1-2-minimisation; MINIMIZATION; PROPERTY;
D O I：
10.1049/el.2019.2205
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
By means of the restricted isometry property of order k and the restricted orthogonality property of order (k,k), this Letter mainly establishes an improved sufficient condition for a recently emerged $\ell _{1-2}$l1-2-minimisation to guarantee the robust signal recovery. The obtained condition is proved to be much better than the state-of-the-art ones for almost all parameters k.
引用
收藏
页码：1199 / 1200
页数：2
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