Characterization of Subspace Pseudoframes Based on a Generalized Multiresolution Structure
Shi Zhi · Journal of Hebei University · 2009
The notion of biorthogonal wavelets is generalized.The concept of subspace pseudoframes of L2(R) is introduced.The pyramid decomposition scheme of a generalized multiresolution structure is proposed,which is similar to Mallat's pyramid algorithm.A necessary and sufficient condition for the existence of the pyramid decomposition scheme is presented.Moreover,affine frames of L2(R)are constructed by virtue of the pyramid decomposition scheme.