Measurement Matrix Optimization via Mutual Coherence Minimization for Compressively Sensed Signals Reconstruction | |
Wei, Ziran1,2,3; Zhang, Jianlin1,2; Xu, Zhiyong1,2; Liu, Yong3 | |
刊名 | Mathematical Problems in Engineering |
2020-09-29 | |
卷号 | 2020期号:7979606页码:1-18 |
ISSN号 | 1024-123X |
DOI | 10.1155/2020/7979606 |
文献子类 | 期刊论文 |
英文摘要 | For signals reconstruction based on compressive sensing, to reconstruct signals of higher accuracy with lower compression rates, it is required that there is a smaller mutual coherence between the measurement matrix and the sparsifying matrix. Mutual coherence between the measurement matrix and sparsifying matrix can be expressed indirectly by the property of the Gram matrix. On the basis of the Gram matrix, a new optimization algorithm of acquiring a measurement matrix has been proposed in this paper. Firstly, a new mathematical model is designed and a new method of initializing measurement matrix is adopted to optimize the measurement matrix. Then, the loss function of the new algorithm model is solved by the gradient projection-based method of Gram matrix approximating an identity matrix. Finally, the optimized measurement matrix is generated by minimizing mutual coherence between measurement matrix and sparsifying matrix. Compared with the conventional measurement matrices and the traditional optimization methods, the proposed new algorithm effectively improves the performance of optimized measurement matrices in reconstructing one-dimensional sparse signals and two-dimensional image signals that are not sparse. The superior performance of the proposed method in this paper has been fully tested and verified by a large number of experiments. © 2020 Ziran Wei et al. |
出版地 | LONDON |
WOS关键词 | Projections ; Framework ; Recovery |
WOS研究方向 | Engineering ; Mathematics |
语种 | 英语 |
出版者 | HINDAWI LTD |
WOS记录号 | WOS:000582524700005 |
内容类型 | 期刊论文 |
源URL | [http://ir.ioe.ac.cn/handle/181551/10088] |
专题 | 光电技术研究所_光电探测与信号处理研究室(五室) |
作者单位 | 1.Key Laboratory of Optical Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu; 610209, China; 2.University of Chinese Academy of Sciences, Beijing; 100049, China 3.School of Optoelectronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu; 610054, China; |
推荐引用方式 GB/T 7714 | Wei, Ziran,Zhang, Jianlin,Xu, Zhiyong,et al. Measurement Matrix Optimization via Mutual Coherence Minimization for Compressively Sensed Signals Reconstruction[J]. Mathematical Problems in Engineering,2020,2020(7979606):1-18. |
APA | Wei, Ziran,Zhang, Jianlin,Xu, Zhiyong,&Liu, Yong.(2020).Measurement Matrix Optimization via Mutual Coherence Minimization for Compressively Sensed Signals Reconstruction.Mathematical Problems in Engineering,2020(7979606),1-18. |
MLA | Wei, Ziran,et al."Measurement Matrix Optimization via Mutual Coherence Minimization for Compressively Sensed Signals Reconstruction".Mathematical Problems in Engineering 2020.7979606(2020):1-18. |
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