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一种基于压缩感知的信号重建新算法

乔田田 张宇 李维国

电讯技术Issue(10):1289-1292,4.
电讯技术Issue(10):1289-1292,4.DOI:10.3969/j.issn.1001-893x.2013.10.007

一种基于压缩感知的信号重建新算法

A New Signal Reconstruction Algorithm Based on Compressed Sensing

乔田田 1张宇 2李维国1

作者信息

  • 1. 中国石油大学 华东 理学院,山东 青岛266580
  • 2. 哈尔滨理工大学 电气与电子工程学院,哈尔滨150080
  • 折叠

摘要

Abstract

Combined with the iterative method of generalized inverse, a new algorithm for sparse signal re-construction is developed based on linearized Bregman iteration for solving the basis pursuit problems. Dur-ing calculating Moore-Penrose generalized inverse, the algorithm only has the matrix-vector multiplication by iteration combined with its own,so that the singular value decomposition( SVD) is avoided. The numer-ical experiments show the computation time has reduced by about 2/3 than that of original algorithms. Meanwhile,the recovery of signals is stabe and effective. So this new algorithm is a feasible signal recon-struction algorithm.

关键词

信号重构/压缩感知/广义逆/线性化Bregman迭代法/稀疏重构

Key words

signal reconstruction/compress sensing/generalized inverse/linearized Bregman iteration/sparse reconstruction

分类

信息技术与安全科学

引用本文复制引用

乔田田,张宇,李维国..一种基于压缩感知的信号重建新算法[J].电讯技术,2013,(10):1289-1292,4.

基金项目

国家自然科学基金资助项目(61101208) (61101208)

中央高校基本科研业务费专项资金(13CX02086A) (13CX02086A)

国家海洋局海洋遥测工程技术研究中心创新青年基金项目(2012003)@@@@The National Natural Science Foundation of China (No.61101208) (2012003)

The Fundamental Research Funds for the Central Uni-versities (13CX02086A) (13CX02086A)

The Innovation Fund of Oceanic Telemetry Engineering and Technology Research Center, State O-ceanic Administration (2012003) (2012003)

电讯技术

OA北大核心CSTPCD

1001-893X

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