期刊文献+

一种压缩感知词典快速构造方法 被引量:1

A Fast Dictionary Construction Algorithm in Compressive Sensing
下载PDF
导出
摘要 提出一种基于交互投影方法的量测词典和感知词典构造算法。将量测词典和感知词典的类Gram矩阵向理想Gram矩阵集合投影并得到投影矩阵,再将此矩阵向类Gram矩阵集合投影,此过程如此继续直至满足终止条件,可得到一对弱相关量测和感知词典,其类Gram矩阵非主对角线元素接近或者达到Welch界。该算法采用一种新的向类Gram矩阵投影方法,可以极大地降低计算量,此算法得到的词典可有效提高OMP算法性能。 This paper presents a measurement and sensing dictionary construction algorithm in compressive sensing based on the alternating projection method.Gram-like matrix of measurement and sensing dictionaries is projected on the set of ideal Gram lnatrix, then the obtained matrix is projected on the set of Gram-like matrix.This procedure is repeated until the termination condition is met and a pair of measurement and sensing dictionaries will be obtained.The off diagonal entries of the Gram-like matrix reach or approach the Welch bound.The algorithm in this paper involves a novel method to project a matrix on the set of Gram-like matrix,which can reduce the computation amount.This algorithm improves the performance of greedy algorithm such as OMP.
作者 张业 李佳
出处 《无线电通信技术》 2017年第3期30-33,共4页 Radio Communications Technology
基金 河北省重大科技成果转化专项项目(14040322Z)
关键词 压缩感知 量测词典 感知词典 贪婪算法 compressive sensing measurement dictionary sensing dictionary greedy algorithm
  • 相关文献

参考文献3

二级参考文献106

  • 1张春梅,尹忠科,肖明霞.基于冗余字典的信号超完备表示与稀疏分解[J].科学通报,2006,51(6):628-633. 被引量:71
  • 2R Baraniuk.A lecture on compressive sensing[J].IEEE Signal Processing Magazine,2007,24(4):118-121.
  • 3Guangming Shi,Jie Lin,Xuyang Chen,Fei Qi,Danhua Liu and Li Zhang.UWB echo signal detection with ultra low rate sampling based on compressed sensing[J].IEEE Trans.On Circuits and Systems-Ⅱ:Express Briefs,2008,55(4):379-383.
  • 4Cand,S E J.Ridgelets:theory and applications[I)].Stanford.Stanford University.1998.
  • 5E Candès,D L Donoho.Curvelets[R].USA:Department of Statistics,Stanford University.1999.
  • 6E L Pennec,S Mallat.Image compression with geometrical wavelets[A].Proc.of IEEE International Conference on Image Processing,ICIP'2000[C].Vancouver,BC:IEEE Computer Society,2000.1:661-664.
  • 7Do,Minh N,Vetterli,Martin.Contourlets:A new directional multiresolution image representation[A].Conference Record of the Asilomar Conference on Signals,Systems and Computers[C].Pacific Groove,CA,United States:IEEE Computer Society.2002.1:497-501.
  • 8G Peyré.Best Basis compressed sensing[J].Lecture Notes in Ccmputer Science,2007,4485:80-91.
  • 9V Temlyakov.Nonlinear Methods of Approximation[R].IMI Research Reports,Dept of Mathematics,University of South Carolina.2001.01-09.
  • 10S Mallat,Z Zhang.Matching pursuits with time-frequency dictionaries[J].IEEE Trans Signal Process,1993,41(12):3397-3415.

共引文献781

同被引文献8

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部