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交替方向块稀疏信号快速重构算法

康凯 王粒宾 钟子发

安徽大学学报(自然科学版)2014,Vol.38Issue(2):61-67,7.
安徽大学学报(自然科学版)2014,Vol.38Issue(2):61-67,7.DOI:10.3969/j.issn.1000-2162.2014.02.010

交替方向块稀疏信号快速重构算法

Efficient block-sparse signal recovery algorithm based on alternating direction method

康凯 1王粒宾 2钟子发3

作者信息

  • 1. 电子工程学院 通信对抗系,安徽 合肥 230037
  • 2. 第二炮兵工程大学信息工程系,陕西 西安 710025
  • 3. 解放军61922部队,北京 100094
  • 折叠

摘要

Abstract

The problem of block sparse signal reconstruction in model-based compressing sensing was studied. Applying alternating direction method, an efficient block-sparse signal recovery algorithm based on l2/l1 reconstruction model was proposed. In this novel algorithm, the objective function was transformed through variable splitting and four variables were alternately updated in the framework of alternating direction method until the prespecified convergence criterion was satisfied. In computer simulation test, two state-of-art fast algorithms, named as block orthogonal matching pursuit and block compressive sampling matching pursuit, as well as the proposed algorithm were comprehensively compared and from the experimental results we could find that our algorithm was superior to the other two algorithms with respect to computational efficiency and estimation accuracy.

关键词

块稀疏信号重构/交替方向法/块坐标下降法/算法分析

Key words

block-sparse signal recovery/alternating direction method/block coordinate descent method/algorithm analysis

分类

信息技术与安全科学

引用本文复制引用

康凯,王粒宾,钟子发..交替方向块稀疏信号快速重构算法[J].安徽大学学报(自然科学版),2014,38(2):61-67,7.

基金项目

国家自然科学基金资助项目(61272333) (61272333)

安徽省自然科学基金资助项目(1208085MF94) (1208085MF94)

国防预研基金资助项目(41101040402) (41101040402)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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