Construction and decomposition of biorthogonal vector-valued wavelets with compact support |
| |
Authors: | Qingjiang Chen Huaixin Cao Zhi Shi |
| |
Affiliation: | aSchool of Science, Xi’an University of Architecture & Technology, Xi’an 710055, PR China;bCollege of Mathematics & Information Science, Shaanxi Normal University, Xi’an 710062, PR China |
| |
Abstract: | In this article, we introduce vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale. The existence of a class of biorthogonal vector-valued wavelets with compact support associated with a pair of biorthogonal vector-valued scaling functions with compact support is discussed. A method for designing a class of biorthogonal compactly supported vector-valued wavelets with four-scale is proposed by virtue of multiresolution analysis and matrix theory. The biorthogonality properties concerning vector-valued wavelet packets are characterized with the aid of time–frequency analysis method and operator theory. Three biorthogonality formulas regarding them are presented. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|