Orthonormal bases with nonlinear phases
文献类型：期刊论文
| 作者 | Qian, Tao2; Wang, Rui3; Xu, Yuesheng1; Zhang, Haizhang1 |
| 刊名 | Advances in computational mathematics
 |
| 出版日期 | 2010-07-01 |
| 卷号 | 33期号:1页码:75-95 |
| 关键词 | The hilbert transform The empirical mode decomposition Time-frequency analysis Orthonormal bases Hardy spaces |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-009-9120-0 |
| 通讯作者 | Xu, yuesheng(yxu06@syr.edu) |
| 英文摘要 | For adaptive representation of nonlinear signals, the bank m of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the analytic signal method is investigated. a particular class of functions with explicit expressions in m is obtained using recent results on the bedrosian identity. we then construct orthonormal bases for the hilbert space of real square integrable functions with the basis functions from m. |
| WOS关键词 | EMPIRICAL MODE DECOMPOSITION ; HILBERT SPECTRUM ; SIGNALS |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000277592700004 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2413509 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xu, Yuesheng |
| 作者单位 | 1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Univ Macau, Dept Math, Fac Sci & Technol, Macao, Peoples R China 3.Chinese Acad Sci, Grad Univ, Sch Informat Sci & Engn, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qian, Tao,Wang, Rui,Xu, Yuesheng,et al. Orthonormal bases with nonlinear phases[J]. Advances in computational mathematics,2010,33(1):75-95. |
| APA | Qian, Tao,Wang, Rui,Xu, Yuesheng,&Zhang, Haizhang.(2010).Orthonormal bases with nonlinear phases.Advances in computational mathematics,33(1),75-95. |
| MLA | Qian, Tao,et al."Orthonormal bases with nonlinear phases".Advances in computational mathematics 33.1(2010):75-95. |
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来源：中国科学院大学
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