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基于高斯函数的小波系及其快速算法
引用本文:赵学智,陈文戈,林颖,陈统坚,叶邦彦.基于高斯函数的小波系及其快速算法[J].华南理工大学学报(自然科学版),2001,29(1):94-97.
作者姓名:赵学智  陈文戈  林颖  陈统坚  叶邦彦
作者单位:1. 华南理工大学 机电系,
2. 广东工业大学 机电系,
基金项目:广东省自然科学基金项目!(980 396 )
摘    要:系统地探讨了由高斯函数各阶导数所构成的小波系及其性质,计算表明其第n阶导数具有n阶消失柜,文中以高斯函数为尺度函数,讨论了高通滤波器和低通滤波器的特殊关系,并给出了以高斯函数1到6阶导数作为小波时快速算法所需要的滤波器系数。

关 键 词:高期函数  小波系  消失矩  滤波器系数  小波时快速算法  尺度函数  信号处理
文章编号:1000-565X(2001)01-0094-04

The Wavelet Series Based on Gaussian Function and Its Fast Algorithm
Zhao Xue_zhi,Chen Wen_ge,Lin Ying,Chen Tong_jian,Ye Bang_yan.The Wavelet Series Based on Gaussian Function and Its Fast Algorithm[J].Journal of South China University of Technology(Natural Science Edition),2001,29(1):94-97.
Authors:Zhao Xue_zhi  Chen Wen_ge  Lin Ying  Chen Tong_jian  Ye Bang_yan
Abstract:The wavelet series made up of different derivatives of Gaussian function and their specialities are discussed systematically in this paper. The computed results show that the n _th derivative of Gaussian function has vanishing moment of n _th order. Gaussian function being scaling function, the special relationship between high pass filter and low pass filter is discussed. The filter coefficient for fast algorithm is also given.
Keywords:Gaussian function  wavelet series  vanishing moment  filter coefficient
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