三元矩阵值双正交小波滤波器的构造和性质

Structure and Nature of Biorthogonal Wavelet Filter of Ternary Matrix Values

研究三元矩阵值双正交小波滤波器的构造问题。当其中一个矩阵值尺度函数的矩阵序列的多项分解是关于δ1、δ2、δ3的次数不超过1的多项式矩阵时,利用矩阵的多相位分解方法,结合提升思想,构造出对应于三元矩阵值尺度函数的矩阵值双正交小波滤波器公式。通过讨论三元矩阵值小波包的性质,得到了三元矩阵值小波包的双正交公式和三元矩阵值小波包基。

Research on structure problems of biorthogonal wavelet filter of ternary matrix values the multiphase decomposition method of matrix is utilized to construct the biorthogonal wavelet filter of matrix value formula corresponding to scaling function of ternary matrix values by combining the promotion thought when many decompositions of a matrix sequence of one matrix value scaling function are the polynomial matrix with times no more than 1.δ 1,δ 2,δ 3 Biorthogonal formula of wavelet packet and wavelet packet basis of the ternary matrix values are worked out by discussing the nature of wavelet packet of ternary matrix values.