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

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

CLC Number: 

• TP301.6