Fractionalization of Fourier transform
Fractionalization of Fourier transform
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DOI：
10.1016/0030-4018(95)00268-d
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发表时间：
1995-08
影响因子：
2.4
通讯作者：
C. Shih
中科院分区：
文献类型：
--
作者：
C. Shih
分数阶傅里叶变换的传统定义是不唯一的。相同的规则可以应用于创建一种新类型的分数阶傅立叶变换，当在真实的和傅立叶空间之间变换时，该分数阶傅立叶变换导致函数的平滑过渡。由于这种新方法不依赖于傅里叶变换的性质，它可以很容易地推广到任何其他离散周期数学运算。
The conventional definition of fractional-order Fourier transform is demonstrate to be not unique. The same rules can be applied to create a new type of fractional-order Fourier transform which results in a smooth transition of a function when transformed between the real and Fourier spaces. Since this new approach does not particularly depend on the properties of Fourier transform, it can be easily generalized for any other discrete periodic mathematical operations.