| 压缩感知回顾与展望 |
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| 引用本文： | 焦李成,杨淑媛,刘芳,侯彪.压缩感知回顾与展望[J].电子学报,2011,39(7):1651-1662. |
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| 作者姓名： | 焦李成 杨淑媛 刘芳 侯彪 |
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| 作者单位： | 智能感知与图像理解教育部重点实验室,西安电子科技大学,陕西西安710071 |
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| 基金项目： | 国家自然科学基金(No.61072108,No.60971112,No.61072106,No.60971128,No.60970067,No.61072108); 中央高校基本科研业务费专项资金(No.JY10000902041,No.J54510020160,No.JY10000902001,No.K50510020001); 高等学校学科创新引智计划(111计划)基金(No.B07048) |
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| 摘 要： | 压缩感知是建立在矩阵分析、统计概率论、拓扑几何、优化与运筹学、泛函分析等基础上的一种全新的信息获取与处理的理论框架.它基于信号的可压缩性,通过低维空间、低分辨率、欠Nyquist采样数据的非相关观测来实现高维信号的感知.压缩感知不仅让我们重新审视线性问题,而且丰富了关于信号恢复的优化策略,极大的促进了数学理论和工程应用...
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| 关 键 词： | 压缩感知 稀疏表示 压缩观测 优化恢复 |
| 收稿时间： | 2011-05-20 |
Development and Prospect of Compressive Sensing |
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| JIAO Li-cheng,YANG Shu-yuan,LIU Fang,HOU Biao.Development and Prospect of Compressive Sensing[J].Acta Electronica Sinica,2011,39(7):1651-1662. |
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| Authors: | JIAO Li-cheng YANG Shu-yuan LIU Fang HOU Biao |
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| Affiliation: | JIAO Li-cheng,YANG Shu-yuan,LIU Fang,HOU Biao(Key Lab of Intelligent Perception and Image Understanding of Ministry of Education,Xidian University,Xi'an,Shaanxi 710071,China) |
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| Abstract: | Compressive Sensing(CS) is a new developed theoretical framework for information acquisition and processing,which is based on matrix analysis,statistical probability theory,topological geometry,optimization and opsearch,functional analysis and so on.The high-dimensional signals can be recovered from the low-dimensional and sub-Nyquist sampling data based on the compressibility of signals.It not only inspires us to survey the linear problem again,but also enriches the optimization approaches for signal recov... |
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| Keywords: | compressive sensing sparse representation compressive measurement optimization recovery |
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