An Orthogonal Method for Measurement Matrix Optimization
文献类型：期刊论文
| 作者 | Pan, Jinfeng1,2,3; Qiu, Yuehong1
|
| 刊名 | circuits systems and signal processing
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 35期号:3页码:837-849 |
| 关键词 | Measurement matrix Orthogonalization QR factorization Mutual coherence |
| ISSN号 | 0278-081x |
| 产权排序 | 1 |
| 英文摘要 | compressive sensing theory states that signals can be sampled at a much smaller rate than that required by the nyquist sampling theorem, because the sampling of a signal in the former is performed as a relatively small number of its linear measurements. thus, the design of a measurement matrix is important in compressive sensing framework. a random measurement matrix optimization method is proposed in this study based on the incoherence principle of compressive sensing, which requires the mutual coherence of information operator to be small. the columns with mutual coherence are orthogonalized iteratively to decrease the mutual coherence of the information operator. the orthogonalization is realized by replacing the columns with the orthogonal matrix of their qr factorization. an information operator with smaller mutual coherence is acquired after the optimization, leading to an improved measurement matrix in terms of its relationship with the information operator. results of several experiments show that the improved measurement matrix can reduce its mutual coherence with dictionaries compared with the random measurement matrix. the signal reconstruction error also decreases when the optimized measurement matrix is utilized. |
| WOS标题词 | science & technology ; technology |
| 学科主题 | 电子、电信技术 |
| 类目[WOS] | engineering, electrical & electronic |
| 研究领域[WOS] | engineering |
| 关键词[WOS] | signal recovery ; projections |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000370819100006 |
| 源URL | [http://ir.opt.ac.cn/handle/181661/27836]  |
| 专题 | 西安光学精密机械研究所_空间光学应用研究室 |
| 作者单位 | 1.Chinese Acad Sci, Xian Inst Opt & Precis Mech, Space Opt Lab, Xian 710119, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Shandong Univ Technol, Sch Elect & Elect Engn, Zibo 255012, Peoples R China |
| 推荐引用方式 GB/T 7714 | Pan, Jinfeng,Qiu, Yuehong. An Orthogonal Method for Measurement Matrix Optimization[J]. circuits systems and signal processing,2016,35(3):837-849. |
| APA | Pan, Jinfeng,&Qiu, Yuehong.(2016).An Orthogonal Method for Measurement Matrix Optimization.circuits systems and signal processing,35(3),837-849. |
| MLA | Pan, Jinfeng,et al."An Orthogonal Method for Measurement Matrix Optimization".circuits systems and signal processing 35.3(2016):837-849. |
入库方式： OAI收割
来源：西安光学精密机械研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。