A Constructive Method of Biorthogonal Vector-valued Finitely Supported Wavelets and Dual Frames with multi-scale

摘要：

In this paper, the notion of vector-valued multires--olution analysis and biorthogonal vector wavelets are introduced. The existence of biorthogonal finitely supported vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is discussed. A new procedure for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis approach and filter bank theory.

关键词： scaling functions vector-valued wavelets filter bank theory trivariate refinement equation

作者: Yanfen Dong Yuntao Cai

作者单位: Department of Computer Science Huanghuai University Zhumadian 463000, China The equipment department 96531 PLA Troops Luoyang 471003, China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Automation Engineering(ICCAE 2011)(2011年第三届IEEE计算机与自动化工程国际会议)

会议地点: 重庆

会议语种:英文

页码: 273-277

在线出版日期: 2011-01-21（万方平台首次上网日期，不代表论文的发表时间）