An Improved Nyquist-Shannon Irregular Sampling Theorem From Local Averages
文献类型：期刊论文
| 作者 | Song, Zhanjie1,2; Liu, Bei3; Pang, Yanwei4; Hou, Chunping4; Li, Xuelong5 |
| 刊名 | ieee transactions on information theory
 |
| 出版日期 | 2012-09-01 |
| 卷号 | 58期号:9页码:6093-6100 |
| 关键词 | Band-limited signal irregular sampling sampling from local averages signal reconstruction |
| ISSN号 | 0018-9448 |
| 产权排序 | 5 |
| 合作状况 | 国内 |
| 英文摘要 | the nyquist-shannon sampling theorem is on the reconstruction of a band-limited signal from its uniformly sampled samples. the higher the signal bandwidth gets, the more challenging the uniform sampling may become. to deal with this problem, signal reconstruction from local averages has been studied in the literature. in this paper, we obtain an improved nyquist-shannon sampling theorem from general local averages. in practice, the measurement apparatus gives a weighted average over an asymmetrical interval. as a special case, for local averages from symmetrical interval, we show that the sampling rate is much lower than that of a result by grochenig. moreover, we obtain two exact dual frames from local averages, one of which improves a result by sun and zhou. at the end of this paper, as an example application of local average sampling, we consider a reconstruction algorithm: the piecewise linear approximations. |
| WOS标题词 | science & technology ; technology |
| 类目[WOS] | computer science, information systems ; engineering, electrical & electronic |
| 研究领域[WOS] | computer science ; engineering |
| 关键词[WOS] | stochastic-processes ; signals ; reconstruction ; behavior ; series ; approximation ; extrapolation ; wavelet ; spaces |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000307892800034 |
| 公开日期 | 2012-11-30 |
| 源URL | [http://ir.opt.ac.cn/handle/181661/20408]  |
| 专题 | 西安光学精密机械研究所_光学影像学习与分析中心 |
| 作者单位 | 1.Tianjin Univ, Sch Sci, Inst TV & Image Informat, Tianjin 300072, Peoples R China 2.Tianjin Univ, Liuhui Ctr Appl Math, Tianjin 300072, Peoples R China 3.Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China 4.Tianjin Univ, Sch Elect Informat Engn, Tianjin 300072, Peoples R China 5.Chinese Acad Sci, Ctr Opt Imagery Anal & Learning, State Key Lab Transient Opt & Photon, Xian Inst Opt & Precis Mech, Xian 710119, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, Zhanjie,Liu, Bei,Pang, Yanwei,et al. An Improved Nyquist-Shannon Irregular Sampling Theorem From Local Averages[J]. ieee transactions on information theory,2012,58(9):6093-6100. |
| APA | Song, Zhanjie,Liu, Bei,Pang, Yanwei,Hou, Chunping,&Li, Xuelong.(2012).An Improved Nyquist-Shannon Irregular Sampling Theorem From Local Averages.ieee transactions on information theory,58(9),6093-6100. |
| MLA | Song, Zhanjie,et al."An Improved Nyquist-Shannon Irregular Sampling Theorem From Local Averages".ieee transactions on information theory 58.9(2012):6093-6100. |
入库方式： OAI收割
来源：西安光学精密机械研究所
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