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基于最优格拉斯曼框架的测量矩阵投影构造方法
引用本文:邢加军,汪立新,肖超.基于最优格拉斯曼框架的测量矩阵投影构造方法[J].计算机安全,2014(1):28-31.
作者姓名:邢加军  汪立新  肖超
作者单位:[1]中国电子科技集团公司第36研究所,浙江嘉兴314001 [2]杭州电子科技大学通信工程学院,浙江杭州310018
摘    要:压缩采样中测量矩阵对于信号的压缩及重建都有着十分重要的作用。为了减小测量矩阵与稀疏变换矩阵的互相干性,对测量矩阵和稀疏变换矩阵的乘积,构造其Gram矩阵并通过最优投影法优化之。格拉斯曼框架各元素间具有较小的相干性,使优化后的矩阵逼近格拉斯曼框架则可以获得更好的性能。

关 键 词:压缩采样  测量矩阵  稀疏变换  最优投影  格拉斯曼框架

The Projection Construction of Measurement Matrix based on Optimal Grassmannian Frames
XING Jia-jun,WANG Li xin,XIAO Chao.The Projection Construction of Measurement Matrix based on Optimal Grassmannian Frames[J].Network & Computer Security,2014(1):28-31.
Authors:XING Jia-jun  WANG Li xin  XIAO Chao
Affiliation:1.No.36 Research Institute of China Electronics Tochnology Group Corporation,Jiaxing Zhejiang 31001 China; 2.School of Communication Engineering,Hangzhou Dianzi University,Hangzhou,Zhejiang 310018,China)
Abstract:The measurement matrix plays a very important role in compressive sampling for signal compression and reconstruction. In order to decrease the mutual coherence between the measurement matrix and sparse dictionary, we construct the Gram matrix of their product and optimize it using projection method. Grassmannfan Frames has a smaller coherence between their elements so that approximating the optimized matrix to Glassman framework can achieve better performance.
Keywords:Compressed sensing  Measurement matrix  Sparse transformation  Optimal projection  Grassmannian Frames
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