摘要
研究了分别对应极值检测算子和零交叉检测算子的两类任意阶基数 B样条小波 .基于 Mallat一维和二维信号的小波变换和逆变换理论 ,推导出小波分解与重建算法中滤波器组 H ,G,G,L的时域和频率解析表达式 .讨论了这两类小波在小波分析中的作用 .
Two types of the arbitrary order cardinal B spline wavelets were discussed in this paper, corresponding to the extrema detection and zero crossings detection respectively.Based on Mallats wavelet transform and reverse transform theory of 1 D and 2 D signals,the general expressions were derived for the spatial and frequency responses of the filter banks H,G,,L in his wavelet decomposition and deconstruction algorithms for above two detection techniques.Furthermore,their roles in the wavelet analysis were stulied in detail.
出处
《纺织高校基础科学学报》
CAS
2001年第1期66-71,共6页
Basic Sciences Journal of Textile Universities
基金
陕西省自然科学基金!项目 ( 99C18)