紧支撑最小能量框架的参数化(英文)  

Parameterizations of Minimum-energy Frames with Short Support

作　　者：冯岩[1] 袁德辉[2] 

机构地区：[1]信阳师范学院计算机与信息技术学院,河南信阳464000 [2]韩山师范学院数学系,广东潮州521041

出　　处：《信阳师范学院学报（自然科学版）》2012年第4期431-434,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：National Natural Science Foundation of China(11071152)

摘　　要：给出了具有任意伸缩因子的低通滤波器生成最小能量框架的充分条件,并给出了一类最小能量框架(包括一类紧小波框架)的参数化表示.最后根据生成最小能量框架的充分条件,构造了具有不同性质的例子.A sufficient condition for low-pass filters with arbitrary dilation factor and compact support to generate minimum-energy frames with compact support is provided. A family of minimum-energy frames with different length filters and arbitrary dilation factor, which includes a class of normal tight wavelet frames with compact support, are parameterized. In the end, some examples are given to illustrate the results.

关 键 词：参数化 最小能量 (紧)框架 对称性 

分 类 号：O174.2[理学—数学]