区间[-1,1]上的a尺度双正交多小波的构造  

CONSTRUCTION OF BIORTHOGONAL MUL TIWAVELETS WITH SCALE a ON [-1,1]

作　　者：戴宏亮[1] 羿旭明[2] 

机构地区：[1]广东商学院数学与计算科学系,广东广州510320 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2008年第1期95-99,共5页Journal of Mathematics

摘　　要：本文研究了一元a尺度紧支撑、双正交多小波的构造.在区间[-1,1],给出了利用a尺度双正交尺度向量构造a尺度双正交多小波的推导过程得到了一种有效的小波构造算法,并给出了数值算例.Construction of univariate compactly biorthogonal multiwavelets with scale a is investigated in the paper, we give a procedure for constructing compactly supported, biorthogonal multiwavelets with scale a from biorthogonal scaling vectors with scale a and support on [-1,1] ; what＇s more, we also get an effective algorithm of wawelet construction. Finally,an example is given.

关 键 词：双正交尺度向量 双正交多小波 Α尺度 

分 类 号：O174.2[理学—数学]