ENHANCED BLOCK-SPARSE SIGNAL RECOVERY PERFORMANCE VIA TRUNCATED e2/e1-2 MINIMIZATION

• 来源期刊: 计算数学（英文版）
• 关键词: Compressed sensing Block-sparse Truncated e2/e1-2 minimization method ADMM
• 年，卷（期）: 2020,（3）
• 页码范围: 437-451
• 页数: 15页
• 语种: 英文
• DOI: 10.4208/jcm.1811-m2017-0275

摘要

In this paper,we investigate truncated e2/e1-2 minimization and its associated alternating direction method of multipliers (ADMM) algorithm for recovering the block sparse signals.Based on the block restricted isometry property (Block-RIP),a theoretical analysis is presented to guarantee the validity of proposed method.Our theoretical results not only show a less error upper bound,but also promote the former recovery condition of truncated e1-2 method for sparse signal recovery.Besides,the algorithm has been compared with some state-of-the-art algorithms and numerical experiments have shown excellent performances on recovering the block sparse signals.