中文摘要：

小波分析在工程应用领域已经取得了巨大的成功，为了克服传统小波在图象处理方面的局限性，人们构造了各种重构系统．根据AB-多尺度分析的理论，首先构造了一个正交的复合伸缩多小波，然后又构造出了一个复合伸缩的Parseval框架单小波．

英文摘要：

Wavelet analysis is a graceful example with mathematics and engineering technology are well integrated. In order to overcome classical wavelets＇ shortcoming in processing image problems, people developed many producing systems. In this paper, by the theory of AB-multiresolution analysis, a orthogonal multiwavelet with composite dilation is constructed. Then, a Parseval frame wavelet with composite dilations is obtained.