【摘要】 本文考虑四进制的正交、对称尺度函数,构造了一组带参数的系数长度为8的对称(反对称)滤波器组.并进一步构造了与尺度函数对称点一致、系数长度不超过8的所有对称(反对称) 小波滤波器组.它包含了[10]中的滤波器组,从而拓广了[10]中滤波器的选择.更多还原

【Abstract】 In this paper, we dedicate on the construction of orthogonal and symmetric multiband wavelets. For dilation 4, a class of symmetric and antisymmetric wavelets with their filter length 8 and the corresponding coefficients of the filter contained a parameter are given. Moreover, all symmetric and antisymmetric wavelets,which have same symmetric point as the scaling function and the length of their filters are no more than 8, are also given. At last, the Sobolev exponent of the scaling function are discussed.更多还原