Improved RIC bound for the recovery of sparse signals by orthogonal matching pursuit with noise

Chao Tong; Jun Li; Weizhi Zhang

doi:10.1049/el.2016.1523

Improved RIC bound for the recovery of sparse signals by orthogonal matching pursuit with noise

Chao Tong^*
, Jun Li
, Weizhi Zhang

^*此作品的通讯作者

计算机学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The restricted isometry constant (RIC) bound for the recovery of a sparse signal with l2 bounded noise by orthogonal matching pursuit algorithm is studied. We show under our weaker condition on the RIC of sensing matrix and the minimum magnitude of the non-zero components, the support of the unknown signal can be recovered exactly under l2 bounded noise. Our results are better than the best existing ones.

源语言	英语
页（从-至）	1956-1958
页数	3
期刊	Electronics Letters
卷	52
期	23
DOI	https://doi.org/10.1049/el.2016.1523
出版状态	已出版 - 10 11月 2016

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10.1049/el.2016.1523

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title = "Improved RIC bound for the recovery of sparse signals by orthogonal matching pursuit with noise",

abstract = "The restricted isometry constant (RIC) bound for the recovery of a sparse signal with l2 bounded noise by orthogonal matching pursuit algorithm is studied. We show under our weaker condition on the RIC of sensing matrix and the minimum magnitude of the non-zero components, the support of the unknown signal can be recovered exactly under l2 bounded noise. Our results are better than the best existing ones.",

author = "Chao Tong and Jun Li and Weizhi Zhang",

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AU - Li, Jun

AU - Zhang, Weizhi

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N2 - The restricted isometry constant (RIC) bound for the recovery of a sparse signal with l2 bounded noise by orthogonal matching pursuit algorithm is studied. We show under our weaker condition on the RIC of sensing matrix and the minimum magnitude of the non-zero components, the support of the unknown signal can be recovered exactly under l2 bounded noise. Our results are better than the best existing ones.

AB - The restricted isometry constant (RIC) bound for the recovery of a sparse signal with l2 bounded noise by orthogonal matching pursuit algorithm is studied. We show under our weaker condition on the RIC of sensing matrix and the minimum magnitude of the non-zero components, the support of the unknown signal can be recovered exactly under l2 bounded noise. Our results are better than the best existing ones.

UR - https://www.scopus.com/pages/publications/84994141721

U2 - 10.1049/el.2016.1523

DO - 10.1049/el.2016.1523

M3 - 文章

AN - SCOPUS:84994141721

SN - 0013-5194

VL - 52

SP - 1956

EP - 1958

JO - Electronics Letters

JF - Electronics Letters

IS - 23

ER -

Improved RIC bound for the recovery of sparse signals by orthogonal matching pursuit with noise

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