中文摘要：

具有冗余性质的框架在信号处理、图像处理、数据压缩和抽样理论中扮演了重要的作用. 本文构造了单个生成子且关于原点对称的不规则Gabor框架,尤其是构建了不规则Parseval Gabor框架,这使得Gabor框架的数量大大增加. 并给出了一些例子以证明理论,这为工程上的应用提供了理论基础.

英文摘要：

Frames with the properties of the redundancy play an important role in signal processing, image processing, data compres-sion and sampling theory.In this paper, irregular Gabor frames with single generator about origin symmetry are constructed from ex-isting Gabor frames.In special, irregular Parseval Gabor frames are obtained, which make the amount of Gabor frames largely in-crease.At last, some examples are provided to prove the theory.The results provide some theoretical basis for engineering applica-tions.