文献类型：期刊文献

英文题名：The M-band cardinal orthogonal scaling function

作者：Wu, Guochang[1];Li, Dengfeng[2];Xiao, Huimin[1];Liu, Zhanwei[3]

通讯作者：Wu, GC[1]

机构：[1]Henan Univ Finance & Econ, Coll Informat, Zhengzhou 450002, Peoples R China;[2]Henan Univ, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China;[3]Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Peoples R China

第一机构：河南财经政法大学计算机与信息工程学院

通讯机构：[1]corresponding author), Henan Univ Finance & Econ, Coll Informat, Zhengzhou 450002, Peoples R China.|[1048412]河南财经政法大学计算机与信息工程学院;[10484]河南财经政法大学;

年份：2010

卷号：215

期号：9

起止页码：3271-3279

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000273230700013)】；

基金：The authors would like to express their gratitude to the referee for his (or her) valuable comments and suggestions that lead to a significant improvement of our manuscript. This work was supported by Innovation Scientists and Technicians Troop Construction Projects of Henan Province (No. 084100510012) and the National Natural Science Foundation of China (No. 60774041).

语种：英文

外文关键词：Sampling theorem; COSF; Wavelet; Filter coefficient; Symmetry property

摘要：The M-band symmetric cardinal orthogonal scaling function with compact support is of interest in several applications such as sampling theory, signal processing, computer graphics, and numerical algorithms. In this paper, we provide a complete mathematical analysis for the M-band symmetric cardinal orthogonal scaling function. Firstly, we generalize some results of the cardinal orthogonal scaling function from the special case M 2 to the most general case M >= 2. Also, we find some new results. Secondly, we obtain the characterizations of the M-band symmetric cardinal orthogonal scaling function and revisit some known examples to prove our theory. (C) 2009 Elsevier Inc. All rights reserved.