紧支撑最小能量框架的构造(英文)  

The Construction of Minimum-energy Frames with Compact Support

作　　者：黄永东[1] 罗萍[2] 程正兴[3] 高岳林[1] 

机构地区：[1]西北第二民族学院信息与系统科学研究所,银川750021 [2]河南工业职业技术学院基础部,南阳473009 [3]西安交通大学理学院,西安710049

出　　处：《工程数学学报》2008年第1期155-164,共10页Chinese Journal of Engineering Mathematics

基　　金：Science and Technique Foundation of Ningxia higher School;Science Foundation of North University for Nationalitier (2007Y043)

摘　　要：本文研究了对应于紧支撑加细函数的最小能量框架,并得到了最小能量框架存在的准则,该准则是建立在加细函数的Laurent多项式符号上的不等式。其次给出了显式构造最小能量框架的公式。最后构造出了数值算例。We study minimum-energy frames with compact supports which correspond to some refinable functions with compact supports, and we give a precise existence criterion for minimum-energy frames in terms of an inequality condition on the Laurent polynomial symbols of the refinable functions. A explicit formula for constructing minimum-energy frame is also presented. Finally, numerical examples are given.

关 键 词：最小能量紧框架 紧支撑 Laurent多项式符号 加细函数 

分 类 号：O174.2[理学—数学]