Direct fast method for time-limited signal reconstruction
文献类型：期刊论文
| 作者 | Wang, YF; Wen, ZW; Nashed, Z; Sun, QY |
| 刊名 | APPLIED OPTICS
 |
| 出版日期 | 2006-05-01 |
| 卷号 | 45期号:13页码:3111-3126 |
| ISSN号 | 1559-128X |
| 英文摘要 | We consider reconstruction of signals by a direct method for the solution of the discrete Fourier system. We note that the reconstruction of a time-limited signal can be simply realized by using only either the real part or the imaginary part of the discrete Fourier transform (DFT) matrix. Therefore, based on the study of the special structure of the real and imaginary parts of the discrete Fourier matrix, we propose a fast direct method for the signal reconstruction problem, which utilizes the numerically truncated singular value decomposition. The method enables us to recover the original signal in a stable way from the frequency information, which may be corrupted by noise and/or some missing data. The classical inverse Fourier transform cannot be applied directly in the latter situation. The pivotal point of the reconstruction is the explicit computation of the singular value decomposition of the real part of the DFT for any order. Numerical experiments for 1D and 2D signal reconstruction and image restoration are given. (c) 2006 Optical Society of America. |
| WOS研究方向 | Optics |
| 语种 | 英语 |
| 出版者 | OPTICAL SOC AMER |
| WOS记录号 | WOS:000237143800029 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2402]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, YF |
| 作者单位 | 1.State Key Lab Remote Sensing Sci, Beijing 100101, Peoples R China 2.Univ Cent Florida, Dept Math, Orlando, FL 32816 USA 3.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, YF,Wen, ZW,Nashed, Z,et al. Direct fast method for time-limited signal reconstruction[J]. APPLIED OPTICS,2006,45(13):3111-3126. |
| APA | Wang, YF,Wen, ZW,Nashed, Z,&Sun, QY.(2006).Direct fast method for time-limited signal reconstruction.APPLIED OPTICS,45(13),3111-3126. |
| MLA | Wang, YF,et al."Direct fast method for time-limited signal reconstruction".APPLIED OPTICS 45.13(2006):3111-3126. |
入库方式： OAI收割
来源：数学与系统科学研究院
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