| 广义Haar子波 |
| |
| 引用本文： | 袁晓,陈向东,李齐良,扬家德.广义Haar子波[J].电子科技大学学报(社会科学版),2002(1). |
| |
| 作者姓名： | 袁晓 陈向东 李齐良 扬家德 |
| |
| 作者单位： | 四川大学电子信息学院 成都610064
(袁晓)，电子科技大学传感技术工程四川省重点实验室 成都610054
(陈向东)，四川大学物理学院 成都610064
(李齐良)，重庆光电技术研究所 重庆400060(扬家德) |
| |
| 基金项目： | 国防科技重点实验室基金试点项目 |
| |
| 摘 要： | 研究了最简单的规范正交子波棗Haar子波的简单广义化问题首先提出尺度系数函数新概念并引进时移因子将Haar子波进行拓展而得到一类新的规范正交子波广义Haar子波从理论上论证这种简单广义化方法的合理性与广义Haar子波的一些基本性质给出了广义子波系在时域和频域的闭式表达
|
| 关 键 词： | 尺度系数函数 时移因子 广义Hilbert变换 |
The Generalized Haar Wavelet |
| |
| Yuan Xiao,Chen Xiangdong,Li Qiliang,Yang Jiade.The Generalized Haar Wavelet[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2002(1). |
| |
| Authors: | Yuan Xiao Chen Xiangdong Li Qiliang Yang Jiade |
| |
| Institution: | Yuan Xiao1 Chen Xiangdong2 Li Qiliang3 Yang Jiade4 |
| |
| Abstract: | The simple generalizing topic of the Haar wavelet is investigated in this paper. Firstly, an new concept called as the scaling coefficient function is presentedand thenintroducing the time shift factor into the scaling coefficient function, the Haar wavelet is extended to the generalized Haar wavelets which an novel class of orthonormal wavelet. Secondly, the rationality of the simple generalizing method of the orthonormal wavelet, which presented in this paper, is studied theoretically and some properties of the generalized Haar wavelet are discussed. Finally, the closed form expression of the generalized Haar wavelet is given in both the time domain and the frequency domain. |
| |
| Keywords: | scaling coefficient function time-shift factor generalized Hilbert transformation |
| 本文献已被 CNKI 等数据库收录！ |
