| 基于矩阵分解的压缩感知算法研究 |
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| 引用本文： | 王蓟翔,张扬.基于矩阵分解的压缩感知算法研究[J].通信技术,2011,44(6):138-140,143. |
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| 作者姓名： | 王蓟翔 张扬 |
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| 作者单位： | 电子科技大学电子工程学院,四川成都,610000 |
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| 摘 要： | 奈奎斯特采样定律是长久以来具有指导意义的经典信号处理技术,它提出信号在采样过程中,当且仅当采样率大于信号带宽的2倍时,才能精确重构信号。压缩感知理论突破了奈奎斯特采样定理对信号采样率的限制,以更低采样率采样信号,并通过适当的重构算法恢复信号。文中以压缩感知理论为基础,结合目前广泛采用的正交匹配追踪算法,基于矩阵分解思想,提出2种改进算法,在运算复杂度方面取得优化,并且满足信号处理时对重构精度的要求。
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| 关 键 词： | 压缩感知 正交匹配追踪算法 矩阵分解 信号重构 |
Compressed Sensing Algorithm based on Matrix Decomposition |
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| WANG Ji-xiang.Compressed Sensing Algorithm based on Matrix Decomposition[J].Communications Technology,2011,44(6):138-140,143. |
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| Authors: | WANG Ji-xiang |
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| Affiliation: | WANG Ji-xiang(School of Electronic Engineering,University of Electronic Science and Technology of China,Chengdu Sichuan 610000,China) |
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| Abstract: | Nyquist Sampling Theorem is a classic signal processing technology.It proposes that,in order to accurately reconstruct the signal,the sampling rate must be greater than twice as wide as the signal bandwidth.Different from the traditional signal acquisition process,compressed sensing theory breaks through the limitation of signal sampling rate by Nyquist rate,samples the signal at a lower rate,and then reconstructs the signal by a proper algorithm like Orthogonal Matching Pursuit(OMP).This paper,based on mat... |
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| Keywords: | compressed sensing OMP matrix decomposition signal reconstruction |
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