A Generalized Multiresolution Analysis and Affine Pseudoframes of Space L(2)(R) associated with Filter Banks

作者：Wang Junqiu^*

来源：4th International Conference on Natural Computation (ICNC 2008), 2008-10-18 to 2008-10-20.

DOI：10.1109/ICNC.2008.181

In recent years, frames have been the focus of active research, both in theory and applications. In the paper, the notion of affine pseudoframes for subspaces of L(2)(R) is introduced. We propose the concept of a generalized multiresolution analysis (GMRA). We give an approach for constructing one GMRA of Paley-Wiener subspaces of L(2)(R). The sufficient condition for the existence of a class of multiple pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis is proposed.

• 出版日期2008
• 单位西安建筑科技大学