Partial affine system–based frames and dual frames |
| |
Authors: | Yun‐Zhang Li Yu Tian |
| |
Institution: | College of Applied Sciences, Beijing University of Technology, Beijing, China |
| |
Abstract: | In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however, the partial one has not. The main focus of this paper is on partial affine system–based frames and dual frames. We obtain a necessary condition and a sufficient condition for a partial affine system to be a frame and present a characterization of partial affine system–based dual frames. Some examples are also provided. |
| |
Keywords: | affine dual frame affine frame affine system frame partial affine system |
|
|