The Decription of a sort of Two-directional Biorthogonal Trivariate Wavelet Packets with Finite Support

摘要

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 multiscale is developed. Their properties is investigated by virtue of algebra theory, time-frequency analysis method and functional analysis method. In the final, new Riesz bases of space L~2(R~3) are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established