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。
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.
出处
《信号处理》
CSCD
1999年第1期37-41,36,共6页
Journal of Signal Processing
基金
国家教委博士点基金
关键词
侧抑制
Bubble函数
子滤构造
信号处理
Wavelet construction, Lateral inhibitation, Gaussian function, Bubble function
