This paper give out the physical interpretation of scaling character of the fractional Fourier transform.
提供了分数傅里叶变换定标性的数学表达和物理解释。
Absrtact: a digital watermarking algorithm is proposed based on chaotic map and fractional Fourier transform.
摘要：提出一种基于混沌映射和分数阶傅里叶变换的数字水印算法。
The paper presents encrpytion techniques of double random phase based on anamorphic fractional Fourier transform.
提出变形分数傅里叶变换双随机相位编码技术。
The relation between the system parameters and the order of fractional Fourier transform implemented were derived.
推导了系统结构参数与分数傅里叶变换的级次的关系。
Single spherical refracting system as the most basic unit for performing fractional Fourier transform was proposed.
提出单球面折射系统可以作为光学分数傅里叶变换的最基本单元。
A new method that USES the tight support window signal together with the fractional Fourier transform (FRFT) is discussed.
主要讨论了一种将加紧支撑窗与分数阶傅里叶变换相结合的信号处理方法。
A new optical image encryption method using anamorphic fractional Fourier transform and double random phase encoding is proposed.
提出一种利用变形分数傅里叶变换和双随机相位编码对图像加密的方法。
A new optical image encryption method using dissymmetrical fractional Fourier transform and double random phase encoding was presented.
提出了一种利用不对称分数傅里叶变换和双随机相位编码对图像加密的方法。
Principle of fractional Fourier transform (FRFT) and alternation to that linear modulate frequency (LMF) treatment advantage were introduced.
介绍了分数阶傅里叶变换的原理及其对线性调频信号的处理优势。
In this paper, a technology of implementation of the multichannel fractional Fourier transform (FRT) is proposed using holographic lens array.
提出利用全息透镜阵列来实现多通道分数傅里叶变换技术。
In order to increase the security of the image encryption, the weighted fractional Fourier transform with dilation parameter (PWFRFT) is proposed.
为了提高图像加密的安全性，提出了一种多参数加权类分数傅里叶变换。
A new optical encryption technique based on double random phase computer-generated hologram of asymmetry fractional Fourier transform is presented.
提出了一种利用不对称分数傅里叶变换和双随机相位编码对图像加密的方法。
Research methods and basic theories used in this thesis, such as Fourier transform and fractional Fourier transform, are also emphasized in detail.
首先，概括介绍了哈特莱变换以及基于这种变换的图像编码方法，引入了哈特莱变换的分数形式。
It presents a blind image watermarking scheme based on fractional Fourier domain by utilizing that the order of fractional Fourier transform is freewill.
利用分数傅立叶变换级次的任意性，提出了一种基于分数傅立叶域图象水印方案。
We have showed that the Radon transform of the cross Wigner distribution function is a separable multiplication of fractional Fourier transform of these functions.
分析了交叉魏格纳分布函数中的拉冬变换是这些函数中分数傅里叶变换的可分乘法。
The results show that we can conveniently control the intensity distribution of the partially coherent flat-topped beam by use of the fractional Fourier transform optical system.
结果表明，使用分数傅立叶变换，我们可以方便地控制部分相干平顶光束的光强分布。
The result can be used in numerical calculation and simulation of diffraction and fractional Fourier transform of input complex amplitude of misaligned single spherical refracting system.
这些结果可用于数值计算和模拟该系统失调时对输入复振幅的衍射和分数傅里叶变换。
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.
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。
The fractional Fourier transform contains the spatial information and the spatial-frequency information simultaneously. The fractional correlation can be used to optical pattern recognition too.
分数傅里叶变换同时包含了空间域和空间频率域信息，分数相关也可以用于光学图样识别。
In this paper, we define the fractional quaternion Fourier transform based on reduced biquaternion algebra.
在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换。
In this paper, we define the fractional quaternion Fourier transform based on reduced biquaternion algebra.
在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换。
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