| Truncation Error Analysis on Reconstruction of Signal From Unsymmetrical Local Average Sampling | |
Pang, Yanwei1; Song, Zhanjie2,3; Li, Xuelong4 ; Pan, Jing1,5
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| 2015-10-01 | |
| 发表期刊 | IEEE TRANSACTIONS ON CYBERNETICS
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| 卷号 | 45期号:10页码:2100-2104 |
| 摘要 | The classical Shannon sampling theorem is suitable for reconstructing a band-limited signal from its sampled values taken at regular instances with equal step by using the well-known sinc function. However, due to the inertia of the measurement apparatus, it is impossible to measure the value of a signal precisely at such discrete time. In practice, only unsymmetrically local averages of signal near the regular instances can be measured and used as the inputs for a signal reconstruction method. In addition, when implemented in hardware, the traditional sinc function cannot be directly used for signal reconstruction. We propose using the Taylor expansion of sinc function to reconstruct signal sampled from unsymmetrically local averages and give the upper bound of the reconstruction error (i.e., truncation error). The convergency of the reconstruction method is also presented. |
| 文章类型 | Article |
| 关键词 | Average Sampling Error Estimation Sampling Theorems Taylor Expansion Truncation Error |
| WOS标题词 | Science & Technology ; Technology |
| DOI | 10.1109/TCYB.2014.2365513 |
| 收录类别 | SCI ; EI |
| 关键词[WOS] | BAND-LIMITED SIGNALS ; NUCLEAR NORM REGULARIZATION ; MATRIX COMPLETION ; SHANNON ; REPRESENTATION ; EXPANSIONS ; SUBSPACES ; SYSTEMS |
| 语种 | 英语 |
| WOS研究方向 | Computer Science |
| WOS类目 | Computer Science, Artificial Intelligence ; Computer Science, Cybernetics |
| WOS记录号 | WOS:000361751900007 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.opt.ac.cn/handle/181661/25399 |
| 专题 | 光谱成像技术研究室 |
| 作者单位 | 1.Tianjin Univ, Sch Elect Informat Engn, Tianjin 300072, Peoples R China 2.Tianjin Univ, State Key Lab Hydraul Engn Simulat & Safety, Tianjin 300072, Peoples R China 3.Tianjin Univ, Sch Sci, Tianjin 300072, Peoples R China 4.Chinese Acad Sci, Xian Inst Opt & Precis Mech, Ctr Opt Imagery Anal & Learning, State Key Lab Transient Opt & Photon, Xian 710119, Peoples R China 5.Tianjin Univ Technol & Educ, Sch Elect Engn, Tianjin 300222, Peoples R China |
| 推荐引用方式 GB/T 7714 | Pang, Yanwei,Song, Zhanjie,Li, Xuelong,et al. Truncation Error Analysis on Reconstruction of Signal From Unsymmetrical Local Average Sampling[J]. IEEE TRANSACTIONS ON CYBERNETICS,2015,45(10):2100-2104. |
| APA | Pang, Yanwei,Song, Zhanjie,Li, Xuelong,&Pan, Jing.(2015).Truncation Error Analysis on Reconstruction of Signal From Unsymmetrical Local Average Sampling.IEEE TRANSACTIONS ON CYBERNETICS,45(10),2100-2104. |
| MLA | Pang, Yanwei,et al."Truncation Error Analysis on Reconstruction of Signal From Unsymmetrical Local Average Sampling".IEEE TRANSACTIONS ON CYBERNETICS 45.10(2015):2100-2104. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
| Truncation Error Ana（204KB） | 期刊论文 | 出版稿 | 限制开放 | CC BY-NC-SA | 请求全文 | |
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