a尺度多小波正交尺度函数及其mallat算法

Orthogonal Multiscaling Function and Mallat Algorithm with Dilation Factor a

多小波解决了单小波不可能同时具有正交性、紧支性和对称性的困难,更具有研究的价值.在正交多小波理论的基础上,利用两尺度矩阵研究了一种特殊的紧支撑尺度函数构造成正交尺度函数的方法以及a尺度正交多小波mallat算法,得出了相应的分解和重构关系.

Because multiwavelet solves the problem which single wavelet can not have orthogonality, compact support and symmetry simultaneously, as a result, multiwavelet has more value worth being studied. On the basis of orthogonal multiwavelet theory, by using two-scaling matrix, this paper studies orthogonal scaling function constructed by a special compact support scaling function and orthogonal multiwavelet Mallat algorithm with dilation factor a and obtains corresponding decomposition and reconstruction relation.