A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals

Joint Authors

Han, Zhi
Wang, Jianjun
Zhang, Hai
Duan, Shukai

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-11-26

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We present a probabilistic analysis on conditions of the exact recovery of block-sparse signals whose nonzero elements appear in fixed blocks.

We mainly derive a simple lower bound on the necessary number of Gaussian measurements for exact recovery of such block-sparse signals via the mixed l2/lq (0

In addition, we present numerical examples to partially support the correctness of the theoretical results.

The obtained results extend those known for the standard lq minimization and the mixed l2/l1 minimization methods to the mixed l2/lq (0

American Psychological Association (APA)

Han, Zhi& Wang, Jianjun& Duan, Shukai& Zhang, Hai. 2014. A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1035023

Modern Language Association (MLA)

Han, Zhi…[et al.]. A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1035023

American Medical Association (AMA)

Han, Zhi& Wang, Jianjun& Duan, Shukai& Zhang, Hai. A Simple Gaussian Measurement Bound for Exact Recovery of Block-Sparse Signals. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1035023

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1035023