The Characterization of Two-directional Semi-biorthogonal Trivariable Wavelets with Several-scale Dilation
The advantages of wavelets and their promising features in various application have attracted a lot of interest and effort in recent years. In this article, the notion of two-directional biorthogonal finitely supported trivariate wavelet packets with multi-scale is developed. Their properties is investigated by virtue of algebra theory, timefrequency analysis method and functional analysis method. In the final, new Riesz bases of space L2(R-) are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established.
finite support, filter functions, time-frequency analysis method, multiresolution analysis wavelet packs, multi-scale dilation factor
PENG Jing
School of Science Xian University of Arch, and Tech,Xian 710055, China
国际会议
成都
英文
195-199
2010-07-07（万方平台首次上网日期，不代表论文的发表时间）