Frame fundamental sensor modeling and stability of one-sided frame perturbation
文献类型：期刊论文
| 作者 | Li, Shidong1; Yan, Dunyan2 |
| 刊名 | Acta applicandae mathematicae
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 107期号:1-3页码:91-103 |
| ISSN号 | 0167-8019 |
| 关键词 | Sensor modeling Frames Dual frames Frame expansions Sampling Signal reconstruction Image enhancement Deblurring |
| DOI | 10.1007/s10440-008-9419-8 |
| 通讯作者 | Li, shidong(shidong@sfsu.edu) |
| 英文摘要 | We demonstrate that for all linear devices and/or sensors, signal requisition and reconstruction is naturally a mathematical frame expansion and reconstruction issue, whereas the measurement is carried out via a sequence generated by the exact physical response function (prf) of the device, termed sensory frame {h(n)}. the signal reconstruction, on the other hand, will be carried out using the dual frame {(h) over tilde (a)(n)} of an estimated sensory frame {h(n)(a)}. this consequently results in a one-sided perturbation to a frame expansion, which resides in each and every signal and image reconstruction problem. we show that the stability of such a one-sided frame perturbation exits. examples of image reconstructions in de-blurring are demonstrated. |
| WOS关键词 | DECOMPOSITIONS ; SUBSPACES ; GABOR |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| 出版者 | SPRINGER |
| WOS记录号 | WOS:000266918300006 |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2399164 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Li, Shidong |
| 作者单位 | 1.San Francisco State Univ, Dept Math, San Francisco, CA 94132 USA 2.Chinese Acad Sci, Dept Informat Sci, Grad Univ, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Shidong,Yan, Dunyan. Frame fundamental sensor modeling and stability of one-sided frame perturbation[J]. Acta applicandae mathematicae,2009,107(1-3):91-103. |
| APA | Li, Shidong,&Yan, Dunyan.(2009).Frame fundamental sensor modeling and stability of one-sided frame perturbation.Acta applicandae mathematicae,107(1-3),91-103. |
| MLA | Li, Shidong,et al."Frame fundamental sensor modeling and stability of one-sided frame perturbation".Acta applicandae mathematicae 107.1-3(2009):91-103. |
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来源：中国科学院大学
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