The Pyramid Decomposition Scheme with Dilation Factor a and the Translation Pseudoframes
Zhengxing Cheng · Journal of Henan Normal University · 2009
The notion of a generalized multiresolution structure biorthogonal wavelets is introduced,and the concept of affine pseudoframes of L2(R)is given.The pyramid decomposition scheme of a generalized multiresolution structure is presented,which is similar to Mallat's pyramid algorithm.Anecessary and sufficient condition for the existence of the pyramid decomposition scheme is presented.Moreover,affine frame pseudoframe expansions of L2(R)are constructed by virtue of the pyramid decomposition scheme.