一种有效计算离散Gabor展开的方法(英文)

An Efficient Approach for Discrete Gabor Expansion

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。

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.