Generation and Characteristics of Vector-Valued Quarternary Wavelets with Poly-scale Dilation Factor*

摘要: Wavelet analysis has become a developing branch of mathematics for over twenty years. In this paper, the notion orthogonal nonseparable bivariate wavelet packs, which is generalization univariate proposed by virtue analogy method and iteration method. Their biorthogonality traits are researched using time-frequency approach variable separation approach. Three orthogonality formulas regarding these wraps obtained. Moreover, it shown how to draw new orthonormal bases space L 2(R 4) from wraps. A procedure designing class vector-valued finitely supported functions filter bank theory matrix theory.