平衡多小波和多滤波器库(英文)  

Balanced Multiwavelet and Multifilter Bank

作　　者：高协平[1] 李笑岚[2] 

机构地区：[1]湘潭大学信息工程学院,湖南湘潭411105 [2]北京大学信息科学中心,北京100084

出　　处：《湘潭大学自然科学学报》2001年第3期92-103,共12页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金(69875014);教育部高校骨干教师基金(GG-520-10530-1022);湖南省自然科学基金资助(0

摘　　要：提出了根据多滤波器库的３种参数表达式来构造平衡多小波的方法，讨论了关于对称性的多　小波系统的分类，研究了多小波系统的参数与多小波的各种性质（如逼近阶、正则性、平衡性等）之间的等价数学关系，实际上建立了对小波的各种性质有不同要求的不同领域的应用者可供选择的参数多小波库．In this paper, we introduce a way to p roduce multiwavelet system, specially the balanced multiwavelet system, accordin g to three kinds of parametric expressions of the multifilter banks. And discuss the following aspects of the multiwavelet systems generated by these multifilte r banks: 1) the classification of balanced multiwavelet systems according to the symmetry of their every component; 2) the relations between the free parameters appearing during construction and the properties(especially, the approximation order, regularity order and balancing property)of multiwavelet systems. Finally,we show the correctness and reasonableness of the results through examples.

关 键 词：平衡多小渡 对称性 逼近阶 参数表达式 

分 类 号：O174.2[理学—数学]