摘要: 对单小波区间化的思想加以总结分类,提出了区间多小波设计的一般方法。在重新定义多小波在L2([0,1])上的多分辨分析(MRA)后,针对任意支撑长度 的 重多小波,通过构造尺度子空间Vi([0,1])和小波子空间Wi([0,1]),得到了L2([0,1])的一组基,并进一步推导了双尺度方程,得到了一类区间多小波滤波器的参数化表示式。
关键词:
多小波,
区间多小波,
边界效应
Abstract: The idea of interval wavelet is summarized and a general method to design interval multiwavelet is developed. The MRA of L2([0,1]) is redefined. For multiwavelet with arbitrary supports and multiplicity r, a basis of L2([0,1]) through defining scale subspace Vi([0,1]) and wavelet subspace Wi ([0,1]) is got. The double scaling equations are derived, and the filter parametric expressions of interval multiwavelet are obtained.
Key words:
Multiwavelet,
Interval multiwavelet,
Boundary effect
中图分类号:
周四望;高协平. 区间多小波设计的一般理论[J]. 计算机工程, 2007, 33(09): 25-27.
ZHOU Siwang; GAO Xieping. General Theory of Interval Multiwavelet Design[J]. Computer Engineering, 2007, 33(09): 25-27.