具有某种对称性质的正交多小波构造

Construction of Orthogonal Multi-wavelets with Some Symmetric Property

当把尺度函数的滤波带看作标量滤波,其每一行具有对称、反对称性质时,能够构造具有类似性质的正交多小波. 这里讨论的对称、反对称性质是不同于尺度函数和多小波的对称、反对称性质,此时尺度函数和多小波是不具有对称和反对称性质的.这里,仅考虑重数是3,同时矩阵滤波的长度是奇数的情况.

When the filter bank of scalingvector is regarded as scalar filters, which rows have symmetric or anti-symmetric properties, the orthogonal multi-wavelets with the similar property can be constructed. The symmetry or anti-symmetry is different from the one of scalingvector and multi-wavelet, namely, the scalingvector and multi-wavelets have not symmetry or anti-symmetry. We only consider the case of multiplicity 3, and the length of matrix filter must be odd number.