| 广义Haar子波 |
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| 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(自然科学版), 2002, 31(1): 19-23 |
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| 作者姓名： | 袁晓 陈向东 李齐良 扬家德 |
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| 作者单位： | 1.四川大学电子信息学院 成都 610064; |
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| 基金项目： | 国防科技重点实验室基金试点项目 |
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| 摘 要： | 研究了最简单的规范正交子波——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。
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| 关 键 词： | 尺度系数函数 时移因子 广义Hilbert变换 |
| 收稿时间： | 2001-07-02 |
The Generalized Haar Wavelet |
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| Affiliation: | 1.College of Electronic Information Sichuan Univ. Chengdu 610064;2.Sichuan Province Key Lab for Transducer Thch. & Eng.,UESTC,Chengdu 610054;3.College of Physics Sichuan Univ. Chengdu 610064;4.Chongqing Optoelectronic Research Inst. Chongqing 400060 |
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| 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 presented and then introducing 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. |
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