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A Sufficient Condition for Restoring Sparse Vectors from $\ell_1-\ell_2$-minimization with Cumulative Coherence
  • Youwei Xie,
  • Meijiao Zhang,
  • Shaohua Xie
Youwei Xie
Quanzhou University of Information Engineering
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Meijiao Zhang
Quanzhou University of Information Engineering
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Shaohua Xie
Sun Yat-Sen University

Corresponding Author:xieshh28@mail2.sysu.edu.cn

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Abstract

This paper focuses on the compressed sensing $\ell_1-\ell_2-$minimization model and develops new bounds on cumulative coherence $\mu_1(s)$. We point out that if cumulative coherence $\mu_1(s)$ satisfies (2) or (11), then the sparse signal can stably recover in noise model and exactly recover in free noise by $\ell_1-\ell_2$-minimization model.
01 Feb 2023Submitted to Electronics Letters
02 Feb 2023Submission Checks Completed
02 Feb 2023Assigned to Editor
03 Mar 2023Reviewer(s) Assigned
12 Apr 2023Review(s) Completed, Editorial Evaluation Pending
12 Apr 2023Editorial Decision: Revise Minor
14 Apr 20231st Revision Received
14 Apr 2023Submission Checks Completed
14 Apr 2023Assigned to Editor
14 Apr 2023Review(s) Completed, Editorial Evaluation Pending
16 Apr 2023Editorial Decision: Accept