基于谱投影梯度追踪的压缩感知重建算法

李志林; 陈后金; 姚畅; 李居朋

doi:10.3724/SP.J.1004.2012.01218

基于谱投影梯度追踪的压缩感知重建算法

doi: 10.3724/SP.J.1004.2012.01218

1.
北京交通大学电子信息工程学院北京 100044

详细信息

通讯作者:
李志林

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- 文章访问数: 2399
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- 被引次数: 0
出版历程
- 收稿日期: 2011-07-11
- 修回日期: 2012-04-28
- 刊出日期: 2012-07-20

Compressed Sensing Reconstruction Algorithm Based on Spectral Projected Gradient Pursuit

1.
School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044

摘要

摘要: 为了改进方向追踪法的重建精度和算法效率, 提出了一种基于谱投影梯度(Spectral projected gradient, SPG)追踪的压缩感知(Compressed sensing, CS) 重建算法. 该算法采用方向追踪法框架, 运用谱投影梯度方法计算更新方向和步长, 引进非单调线性搜索策略使算法避免收敛至局部最优解. 实验结果证明了该算法的有效性, 通过设定合适的阈值参数可以取得重建精度和算法效率之间的平衡.
- 压缩感知 /
- 信号重建 /
- 谱投影梯度 /
- 方向追踪
Abstract: In order to improve the reconstruction accuracy and efficiency of the directional pursuit algorithm, a compressed sensing (CS) reconstruction algorithm based on spectral projected gradient (SPG) pursuit is proposed. Directional pursuit frame is adopted by this algorithm. The update direction and step length are computed by spectral projected gradient method. Local optimal is avoided by adopting the nonmonotone line search strategy. The validity of the proposed algorithm was proved by the experimental results. The balance between reconstruction accuracy and efficiency of the algorithm can be achieved by setting an appropriate threshold parameter.
- Compressed sensing (CS) /
- signal reconstruction /
- spectral projected gradient (SPG) /
- directional pursuit

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参考文献(1)

[1]

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