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一种有效计算离散Gabor展开的方法
引用本文:陶亮.一种有效计算离散Gabor展开的方法[J].电子科技大学学报(自然科学版),2000,29(5):483-489.
作者姓名:陶亮
作者单位:1.安徽大学电子工程与信息科学系 合肥 230039;
基金项目:the China Scholarship Council,,
摘    要:定义了一种有限和无限序列的实数形式离散Gabor展开方式,这种展开方式使用了类似于广泛应用的复数形式Gabor展开方式。但前者由于仅涉及实数运算,结果不仅节省大量的运算,而且更便于硬件和软件的实现。另外,实数形式离散Gabor展开方式与复数形式离散Gabor展开方式有着非常简单的关系,所以前者可以取代后者的运算。

关 键 词:离散Gabor展开    Gabor基函数    Gabor系数
收稿时间:1999-11-16

An Efficient Approach for Discrete Gabor Expansion
H. K. Kwan,Tao Liang,H. K. Kwan.An Efficient Approach for Discrete Gabor Expansion[J].Journal of University of Electronic Science and Technology of China,2000,29(5):483-489.
Authors:H K Kwan  Tao Liang  H K Kwan
Affiliation:1.Dept. of Electronic Engineering & Information Science,Anhui University Hefei 230039;2.Dept. of Electrical & Computer Engineering Faculty of Engineering University of Windsor Ontario N9B 3P4 Canada
Abstract:A real discrete Gabor expansion (RDGE) for finite and infinite sequences is defined in this paper. By using the similar method applied to the complex discrete Gabor expansion (CDGE), a significant computation of the RDGE can be saved when compared to the computation of the widely used CDGE. And the RDGE is more convenient to be implemented by both software and hardware due to its real operations. In addition, the RDGE has a very simple relationship with the CDGE so that the CDGE coefficients can be easily obtained from the RDGE coefficients. As a result, a direct replacement of the existing CDGE by the proposed RDGE is possible.
Keywords:discrete Gabor expansions  Gabor basis functions  Gabor coefficients
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