A General Way of Constructing Symmetric Gabor Frames

作者:Wu Guochang*; Yang Xiuqin
来源:6th International Conference on Sensor Network and Computer Engineering (ICSNCE), 2016-07-08 to 2016-07-10.

摘要

Gabor frames with redundancy property can achieve efficient reconstruction, which play a vital role in applied mathematics and engineering fields. In this paper, symmetric or antisymmetric Gabor frames about any symmetric points with any invertible matrices in higher dimensions are constructed from Gabor frames given. The existing results with symmetric property about origin in one dimension are generalized to the case of any invertible matrices and any symmetric points in higher dimensions.