The Decription of a Sort of Two-Directional Biorthogonal Trivariate Wavelet Packets with Finite Support

Qing Jiang Chen, Lie Ya Yan · Key engineering materials · 2010

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 are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established

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