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
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.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2002年第1期19-23,共5页
Journal of University of Electronic Science and Technology of China
基金
国防科技重点实验室基金试点项目
