有限离散Gabor展开的不同形式及相互关系

Several forms of finite discrete Gabor expansion and relations among them

离散Ｇａｂｏｒ展开已有三种不同的定义形式．给出了另一种形式的离散Ｇａｂｏｒ展开；讨论了有限长离散信号在使用不同形式的离散Ｇａｂｏｒ展开时，各种Ｇａｂｏｒ系数及辅助函数之间的关系．

There are three forms of the discrete Gabor expansion now. This paper first presents another form of the discrete Gabor expansion, then discusses the relations among the Gabor coefficients and auxiliary functions of the several forms of the finite discrete Gabor expansion. The results obtained are useful to the theory and application of the Gabor expansion.