Real-valued periodic wavelets: Construction and relation with Fourier series
文献类型：期刊论文
| 作者 | Chen, HL; Liang, XZ; Peng, SL; Xiao, SL |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 1999-09-01 |
| 卷号 | 17期号:5页码:509-522 |
| 关键词 | periodic wavelet multiresolution Fourier series linear independence |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we construct the real-valued periodic orthogonal wavelets. The method presented here is new. The decomposition and reconstruction formulas involve only 4 terms respectively. It demonstrates that the formulas are simpler than that in other kinds of periodic wavelets. Our wavelets are useful in applications since it is real valued. The relation between the periodic wavelets and the Fourier series is also discussed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000082771300006 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14903]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Jilin Univ, Changchun 130023, Jilin, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HL,Liang, XZ,Peng, SL,et al. Real-valued periodic wavelets: Construction and relation with Fourier series[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1999,17(5):509-522. |
| APA | Chen, HL,Liang, XZ,Peng, SL,&Xiao, SL.(1999).Real-valued periodic wavelets: Construction and relation with Fourier series.JOURNAL OF COMPUTATIONAL MATHEMATICS,17(5),509-522. |
| MLA | Chen, HL,et al."Real-valued periodic wavelets: Construction and relation with Fourier series".JOURNAL OF COMPUTATIONAL MATHEMATICS 17.5(1999):509-522. |
入库方式： OAI收割
来源：数学与系统科学研究院
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