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基于Bubble函数的子波构造
引用本文:袁晓,虞厥邦.基于Bubble函数的子波构造[J].信号处理,1999(1).
作者姓名:袁晓  虞厥邦
作者单位:电子科技大学光电子技术系
摘    要:本文首次系统地探讨基于 Bubble函数的子波构造原理和方法。通过选取不同形状参数和时移因子,可以得到许多具有不同侧抑制性能的子波函数.文中给出了相应的Mallat塔式分解快速算法所用的滤波器组系数计算公式与设计条件。

关 键 词:侧抑制  Bubble函数  高斯函数  子波构造

Constructing Wavelets Based on Bubble Functions
Yuang Xiao,Yu Juebang.Constructing Wavelets Based on Bubble Functions[J].Signal Processing,1999(1).
Authors:Yuang Xiao  Yu Juebang
Abstract:The princciples and methods of constructing wavelets based on Bubble function are investigated sys- tematically through coorperating the integral shifting basis of Gaussian functions and Bubble functions. Th wavelets with different lateral inhibitation propetis can be constructed by changing the shape parameter of Gaussian and Bubble functions. Some wavelets with lateral inhibition performnace can be incorporated into Bubble wavelets, or represental approximately by uses of a special Bubble wavelet. Finally, the coefficients of Mallat's pyramidal decomposition filter banks of a few special wavelets are given.
Keywords:Wavelet construction  Lateral inhibitation  Gaussian function  Bubble function
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