The Traits of Two-directional Orthogonal Multivariate Small-Wave Packages with Finite Support
In this paper,we introduce the notion of vector-valued multiresolution analysis and two-directional vector-valued multivariate wavelet packages associated with an integer-valued dilation matrix.A novel method for constructing multi-dimensional vector-valued wavelet packet is presented.Their characteristics are researched by means of operator theory,time-frequency analysis method and matrix theory.Three orthogonality formulas conceming the wavelet packets are establ-lished.Orthogonality decomposition relation formulas of the space L2 (Rs)V are derived by constructing a series of subspaces of wavelet packets.
Wavelet packages two-directional multivariate wavelets dilation matrix quamtum memechanics theory physics time-frequency analysis approach
Zhongyin Chen
School of Education, Nanyang Institute of Technology, Nanyang 473000, China
国际会议
厦门
英文
543-546
2012-01-04（万方平台首次上网日期，不代表论文的发表时间）