文献类型：期刊文献

英文题名：Reproducing systems generated by finite functions

作者：Wu, Guochang[1]; Zhang, Yadong[2]

第一作者：吴国昌

通讯作者：Wu, G.

机构：[1] Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China; [2] College of Computer and Information Engineering, Henan University of Economics and Law, Zhengzhou 450002, China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2012

卷号：11

期号：6

起止页码：666-672

外文期刊名：Information Technology Journal

收录：EI(收录号：20122715209376);Scopus(收录号：2-s2.0-84863191445)

语种：英文

外文关键词：Digital communication systems - Harmonic analysis - Mathematical operators

摘要：Applied harmonic analysis plays an important role in engineering such as signal processing, image processing, digital communications, medical imaging and so on. This study has present an overview of all kind of reproducing systems which are obtained by applying a combination of dilations, modulations and translations to a finite family of functions. Five reproducing systems and their applications are mainly introduced as the following: Gabor systems, wavelet systems, wave packet systems, composite dilation wavelet systems and shearlet systems. Present study reviewed their definitions, history and existing known results, respectively. Furthermore, it also discussed their advantages and shortcomings in the engineering applications. ? 2012 Asian Network for Scientific Information.