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 werediscussed 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,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.
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