离散Gabor展开及其关系

Discrete Gabor Expansion and Its Relationship

Ｇａｂｏｒ 展开是一种分析非平稳信号的工具。为了能进行数值计算，需要对连续 Ｇａｂｏｒ展开进行离散化和有限化。在过采样的一般情况下，给出了有限离散时域 Ｇａｂｏｒ 展开系数与有限离散频域 Ｇａｂｏｒ 展开系数之间的关系，并给出了一个计算实例。

Gabor expansion is a tool of nonstationary signal analysis. The continuous Gabor expansion must be made discrete and finite for numerical implementation. This paper presents the relationship between finite discrete Gabor expansion coefficients in time domain and finite discrete Gabor expansion coefficients in frequency domain in oversampling case. A numerical example is also given.