| REAL-VALUED PERIODIC WAVELETS: CONSTRUCTION ANDRELATION WITH FOURIER SERIES |
| |
| 作者姓名： | Han-lin Chen |
| |
| 作者单位： | Han-lin Chen(Institute of Mathematics，Academia Sinica，Beijing 100080，China)Xue-zhang Liang(Department of Mathematics，Jinn University，Jinn 130023，China)Si-long Peng ;Shao-hang Xiao(Institute of Mathematics，Academia Sinica，Beijing 100080，China) |
| |
| 摘 要： | 1.IntroductionWaveletshaverecentlyreceivedagreatdealofattentioninsuchareasassignalprocessingandimageprocessing(12],8]).Variousmethodstoconstructwaveletshavebeengiven(14],13],9],7]).Itiswellknownthatinmathematicsandmathematicphysicsmanyperiodicp...
|
REAL-VALUED PERIODIC WAVELETS: CONSTRUCTION AND RELATION WITH FOURIER SERIES |
| |
| Han-lin Chen.REAL-VALUED PERIODIC WAVELETS: CONSTRUCTION ANDRELATION WITH FOURIER SERIES[J].Journal of Computational Mathematics,1999(5). |
| |
| Authors: | Han-lin Chen |
| |
| Abstract: | In this paper, we construct the real-valued periodic orthogonal wavelets. Themethod presented here is new. The decomposition and reconstruction formulas involve only 4 terms respectively. It demonstrates that the formulas are simpler thanthat in other kinds of periodic wavelets. Our wavelets are useful in applicationssince it is real valued. The relation between the periodic wavelets and the Fourierseries is also discussed. |
| |
| Keywords: | Periodic wavelet Multiresolution Fourier series Linear independence |
| 本文献已被 CNKI 等数据库收录！ |
