具有对称或反对称滤波器组的双正交平衡多小波

Balanced biorthonormal multiwavelet with symmetric or antisymmetric filter banks

通过对待定矩阵滤波器组的定义,构造了具有对称性,平衡性和高阶消失矩的双正交多小波.它的滤波器组具有有利于实际应用的对称性,其结构类似于标量小波,即可以用两支滤波器确定,所构造的多小波无疑是一类新型的多小波.

A class of the balanced biorthonormal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifitter banks of multiwavelets have had the desired symmetry. Here, the multifilter banks have possessed symmetric or anti-symmetric, which resembled filters of scalar wavelet in favor of application, so they have formed a type of biorthonormal multiwavclet undoubtedly.