| 压缩感知理论综述 |
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| 引用本文： | 卢雁,吴盛教,赵文强. 压缩感知理论综述[J]. 计算机与数字工程, 2012, 40(8): 12-14 |
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| 作者姓名： | 卢雁 吴盛教 赵文强 |
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| 作者单位： | 1. 海军驻中南地区光电系统军事代表室 武汉430073
2. 南海舰队训练基地雷达教研室 东莞523938 |
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| 摘 要： | 信号采样是模拟的物理世界通向数字的信息世界之必备手。多年来,指导信号采样的理论基础一直是著名的Nyquist采样定理,但其产生的大量数据造成了存储空间的浪费。压缩感知（Compressed Sensing,CS）提出一种新的采样理论,它能够以远低于Nyquist采样速率采样信号。文章详述了压缩感知的基本理论,着重介绍了信号稀疏变换、观测矩阵设计和重构算法三个方面的最新进展,并从基础理论层面和实践层面详细探讨了现存的难点问题。
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| 关 键 词： | 压缩感知 稀疏表示 观测矩阵 编码 解码 |
Survey on the Theory of Compressed Sensing |
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| LU Yan , WU Shengjiao , ZHAO Wenqiang. Survey on the Theory of Compressed Sensing[J]. Computer and Digital Engineering, 2012, 40(8): 12-14 |
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| Authors: | LU Yan WU Shengjiao ZHAO Wenqiang |
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| Affiliation: | 1(1.Photoelectric System Pepresentatives Office of Navy in Zhongnan,Wuhan 430073)(2.Radar Department in The Training Base of South China Sea Fleet,Dongguan 523938) |
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| Abstract: | Signal sampling is the key from the analog world to digital world.As we all know,the Nyquist sampling theorem has been the dominance of signal sampling,with the shortcoming of large volume data transmission and storage.Compressed Sampling is an emerging theory of signal acquirement,which can realize the signal sampling at the speed large below the Nyquist.This paper reviews the theoretical framework and the key technical problems of CS,significantly introduces the latest developments of signal sparse representation,design of measurement matrix and reconstruction algorithm.Then this paper also discusses several open and existing difficult problems in the view of the theoretical and practical in CS theory. |
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| Keywords: | compressed sensing sparse representation measurement matrix coding and decoding |
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