依据离散傅里叶变换性质，推导出离散傅里叶变换的不变特征，并将其用于人脸图像识别。
Then according to the properties of discrete Fourier transform, it deduces the discrete Fourier invariant features that are employed on facial image recognition.
从连续傅里叶变换出发，讨论连续傅里叶变换情况下的傅里叶变换性质，给出离散傅里叶变换情况下的傅里叶变换性质。
Starting from continuous Fourier transform, the properties of continuous Fourier transform are discussed, and the paper gives the properties of discrete Fourier transform.
这个方法是根据周期函数的傅里叶级数的性质和利用数学的抽象性质，直接推导出另外三种形式的傅里叶变换。
According the basic properties of Fourier series of period function and using of the abstract nature of mathematics, the method directly derives other 3 kinds of Fourier transform.
它不仅对于分数傅里叶变换定义、性质和变换的本征函数进行了系统的讨论，而且成功用以处理诸多量子力学问题。
He not only discussed the definition, property and the engine functions of the fractional Fourier transform, but also successfully applied the FRT to deal with many quantum mechanics problems.
本文首先对傅立叶变换的性质做了详细介绍，其中包括离散傅里叶变换，快速傅立叶变换（FFT）以及基-2按时间抽取（DIT）的FFT算法；
Firstly , the properties of Fourier Transform, including discrete Fourier Transform, FFT and based-2 DIT FFT, are introduced in this paper;
本文首先对傅立叶变换的性质做了详细介绍，其中包括离散傅里叶变换，快速傅立叶变换（FFT）以及基-2按时间抽取（DIT）的FFT算法；
Firstly , the properties of Fourier Transform, including discrete Fourier Transform, FFT and based-2 DIT FFT, are introduced in this paper;
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