Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames

Joint Authors

Wang, Yao
Wang, Jianjun

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-05-15

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

This paper establishes new sufficient conditions on the restricted isometry property (RIP) for compressed sensing with coherent tight frames.

One of our main results shows that the RIP (adapted to D) condition δk+θk,k<1 guarantees the stable recovery of all signals that are nearly k-sparse in terms of a coherent tight frame D via the l1-analysis method, which improves the existing ones in the literature.

American Psychological Association (APA)

Wang, Yao& Wang, Jianjun. 2017. Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151414

Modern Language Association (MLA)

Wang, Yao& Wang, Jianjun. Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1151414

American Medical Association (AMA)

Wang, Yao& Wang, Jianjun. Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151414

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1151414