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

doi:10.1016/S0252-9602(16)30101-1

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1721-1730.doi: 10.1016/S0252-9602(16)30101-1

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

谌稳固¹, 李亚玲²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Graduate School, China Academy of Engineering Physics§Beijing 100088, China

收稿日期:2015-06-03 修回日期:2015-12-25 出版日期:2016-12-25 发布日期:2016-12-25
作者简介:Wengu CHEN,E-mail:chenwg@iapcm.ac.cn;Yaling LI,E-mail:leeyaling@126.com
基金资助:
This work was supported by National Natural Science Foundation of China (11271050 and 11371183).

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

Wengu CHEN¹, Yaling LI²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Graduate School, China Academy of Engineering Physics§Beijing 100088, China

Received:2015-06-03 Revised:2015-12-25 Online:2016-12-25 Published:2016-12-25
Supported by:
This work was supported by National Natural Science Foundation of China (11271050 and 11371183).

摘要/Abstract

摘要：

This paper establishes a high order condition on the restricted isometry property adapted to a frame D (D-RIP) for the signal recovery. It is shown that if the measurement matrix A satisfies the D-RIP condition δ_tk<√(t-1)/(t) for t>1, then all signals f which are sparse in terms of a tight frame D can be recovered stably or exactly via the l₁-analysis model based on y=Af+z in l₂ and Dantzig selector bounded noise setting.

关键词: compressed sensing, D-restricted isometry property, tight frame

Abstract:

Key words: compressed sensing, D-restricted isometry property, tight frame

中图分类号:

94A12

谌稳固, 李亚玲. STABLE RECOVERY OF SIGNALS WITH THE HIGH ORDER D-RIP CONDITION[J]. 数学物理学报(英文版), 2016, 36(6): 1721-1730.

Wengu CHEN, Yaling LI. STABLE RECOVERY OF SIGNALS WITH THE HIGH ORDER D-RIP CONDITION[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1721-1730.

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

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

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