【摘要】 定义了用于有限序列和图象表示的实数形式离散 Gabor变换 (RDGT) ,这种通过将复数形式离散 Gabor变换 (CDGT)的复数 Gabor基本函数替换成实数 Gabor基本函数而进行的实数变换 ,在算法复杂性上与 CDGT相比 ,明显降低 ,并且由于 RDGT与离散 Hartley变换 (DHT)有着相似的形式 ,从而使得 RDGT能够利用快速的DHT加速变换 .另外 ,RDGT系数与 CDGT系数的实部和虚部之间有着非常简单的加减关系 ,因此不仅可以很容易地从 RDGT系数中计算出 CDGT系数 ,而且 RDGT还具有与 CDGT同样的特性 .文末给出了一些验证结果更多还原

【Abstract】 In this paper, we define 1 D and 2 D real discrete Gabor transforms (RDGT) for finite discrete signal and image representation. By replacing the complex Gabor basis functions of the complex discrete Gabor transform (CDGT) with real Gabor basis functions, a significant computation of the RDGT can be saved as compared with the computation of the CDGT. The similarity between the RDGT and the discrete Hartley transform (DHT) allows the RDGT to utilize the fast DHT algorithms for fast computation. In addition, not only does the RDGT have a simple relationship with the CDGT such that the CDGT coefficients can be directly computed from the RDGT coefficients, but the RDGT coefficients also have the same properties as the CDGT coefficients. Some simulation results are given at the end of this paper.更多还原