一类紧支撑正交多小波的显式构造  

Explicit Construction of First Class Compact Supported Orthogonal Multi Wavelets

作　　者：张建基[1] 雷巧莉[2] 关惠惠 张静[1] 

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054 [2]西安铁路职业技术学院,陕西西安710014

出　　处：《甘肃科学学报》2016年第3期20-25,共6页Journal of Gansu Sciences

摘　　要：以所构造的正定矩阵为基础,给出了2尺度紧支撑正交多小波的构造方法,证明了当2尺度r重紧支撑正交多尺度函数的系数矩阵Pi是r×r阶可逆矩阵,存在正交矩阵A,使PiPTi与diag(λi,1,λi,2,…,λi,r)合同。算例的结果说明,当AT(2I-PiPTi)-1 PiPiTA是对角的正定矩阵时,可构造出2重紧支撑正交多小波函数。Based on the constructed positive definite matrix,construction method of compact supported orthogonal multi wavelets with dilation factor 3are presented to prove that coefficient matrix of compact supported orthogonal multi-scaling functions with dilation factor 2is an invertible matrix with order,and orthogonal matrix exists in making same with.The result of example indicates that 2compact supported orthogonal multi-wavelet function can be constructed when is diagonal positive definite matrix.

关 键 词：紧支撑正交多小波 对称正定矩阵 对角矩阵 

分 类 号：O174.2[理学—数学]