摘要
给出M进制两尺度相似变换(MTST)的概念及相应变换矩阵的构造算法.并证明当变换矩阵满足文中所给的条件时,MTST不仅能提升原M进制多尺度函数的逼进阶,而且还能同时保持原多尺度函数的对称性和紧支性.最后给出相应的算例.
As discribed in the theory of wavelet, the important characteristics of scale functions are depicted by approximation, symmetry and compact support. In this paper, the concept of MTST is presented and the relcvant algorithm construction of transform matrix is obtained. Then, it is pnoved that under the conditions proposed in this paper, MTST not only raises the approximation order of the former M-band muhiscaling functon, but also maintains symmetry and compact support at the same time. Finally, a relevant example is given.
出处
《汕头大学学报（自然科学版）》
2006年第4期7-14,共8页
Journal of Shantou University：Natural Science Edition
基金
广东省自然科学基金资助项目(No:05008289
032038)
广东省自然科学基金博士启动基金资助项目(No:04300917)
