| 一种梯度交替迭代设计测量矩阵的方法 |
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| 引用本文： | 王楠楠,汪立新.一种梯度交替迭代设计测量矩阵的方法[J].计算机工程与应用,2014(6):197-199,234. |
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| 作者姓名： | 王楠楠 汪立新 |
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| 作者单位： | [1] 杭州电子科技大学 通信工程学院,杭州310018 [2]通信系统信息控制技术国家级重点实验室,浙江嘉兴314001 |
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| 摘 要： | 在压缩采样中，测量矩阵应该和表达字典有尽可能小的相干性，随机测量矩阵一直被使用是因为其和任何表达字典都有较小的相干性。提出一种基于梯度迭代最小化方法，作为格拉斯曼框架设计的一种变体，通过优化一个初始的随机测量矩阵来得到相干性更小的测量矩阵。仿真结果表明所设计的测量矩阵具有更好的性能。
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| 关 键 词： | 压缩采样 测量矩阵 等角紧框架 梯度下降 稀疏性 |
Gradient alternating iterative approach for designing measurement matrix |
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| WANG Nannan,WANG Lixin.Gradient alternating iterative approach for designing measurement matrix[J].Computer Engineering and Applications,2014(6):197-199,234. |
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| Authors: | WANG Nannan WANG Lixin |
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| Affiliation: | 1 .School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China 2.National Laboratory of Information Control Technology for Communication System, Jiaxing, Zhejiang 314001, China) |
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| Abstract: | In compressive sampling, measurement matrices should have very small coherence with the sparsity basis. Ran-dom measurement matrices have been used since they present small coherence with almost any sparsity basis. This paper proposes a gradient-based alternating minimization approach which is a variant of Grassmannian frame designing. The purpose is to optimize an initially random measurement matrix to a matrix which presents a smaller coherence than the ini-tial one. The simulation results prove that measurement matrix generated by the proposed method has better performance. |
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| Keywords: | compressed sensing measurement matrix Equiangular Tight Frame（ETF） gradient descent sparsity |
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