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The Intelligent Algorithm of the Biorthogonal Quaternary Wavelet Packs with Filter Banks and Frames

In this paper, the notion of biorthogonal non-separable quarternary wavelet packs, which is the gene-ralization of biorthogonal univariate wavelet packs, is introduced. A new procedure for constructing them is provided. Their biorthogonality property is characterized by the filter bank theory and time-frequency analysis. Three biorthogonality formulas concerning these wavelet packs are established.