广义插值多小波  

General Cardinal Multiwavelets

作　　者：毛一波[1] 

机构地区：[1]重庆文理学院数学与计算机科学系,重庆永川402168

出　　处：《重庆大学学报（自然科学版）》2007年第3期91-94,共4页Journal of Chongqing University

基　　金：重庆市教委科学技术研究项目(重教[KJ051203])

摘　　要：平衡多小波的引入,为多小波变换避免预处理提供了很好的解决办法.作为特殊的平衡多小波,插值多小波成为小波分析的研究热点.就插值多小波而言,利用时域内多小波的平衡阶和逼近阶的关系证明了其逼近阶和平衡阶的等价性.对广义插值多小波,研究了广义插值多小波存在的参数约束条件和采样性质,得到了在广义情形下插值正交多小波的逼近阶和平衡阶一般不再等价的结论.Balanced multiwavelets can avoid prefihering. Cardinal multiwavelet is an active field in wavelet research, By relationshi Pbetween balanced order and approximation order in time domain the author investigate interpolatory multiwavelet and show its balanced order is equal to its approximation order. As for general cardinal orthogonal multiwavelet, sampling property and existent condition of its cardinal parameters are studied. Its balanced order is not equal its approximation order in a general way.

关 键 词：插值多小波 广义插值 逼近阶 平衡阶 采样性质 

分 类 号：O174.2[理学—数学]