提出变形分数傅里叶变换双随机相位编码技术。
The paper presents encrpytion techniques of double random phase based on anamorphic 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。
This paper give out the physical interpretation of scaling character of the fractional Fourier transform.
推导了系统结构参数与分数傅里叶变换的级次的关系。
The relation between the system parameters and the order of fractional Fourier transform implemented were derived.
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 this paper, a technology of implementation of the multichannel fractional Fourier transform (FRT) is proposed using holographic lens array.
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。
Single spherical refracting system as the most basic unit for performing fractional Fourier transform was 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 anamorphic fractional Fourier transform and double random phase encoding 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。
In order to increase the security of the image encryption, the weighted fractional Fourier transform with dilation parameter (PWFRFT) is proposed.
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。
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。
A new optical encryption technique based on double random phase computer-generated hologram of asymmetry fractional Fourier transform is presented.
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。
We have showed that the Radon transform of the cross Wigner distribution function is a separable multiplication of fractional Fourier transform of these functions.
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。
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.
定量的给出了球面波照射下实现任意阶非精确分数傅里叶变换时系统参数的选择定则。
A determining law for selecting the parameters of obtaining arbitrary order of the non-exact transform is also deducted quantitatively.
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。
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.
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.
分数傅里叶变换具有空域和频域双域表达能力，可以对原始图像和水印信号分别进行不同阶次的分数傅里叶变换以增强水印安全性。
The FRFT has signal representation property both in space and frequency domain. The original image and the watermark is transformed with different orders to improve watermarking security.
该方法对图像分别进行一次菲涅耳变换和分数傅里叶变换，并在图像的菲涅耳域和分数傅里叶域上分别利用随机相位版施行相位编码。
In this paper, image is Fresnel transformed and Fractional Fourier transformed successively, and phase encoding is implemented in both Fresnel domain and Fractional Fourier domain.
本论文主要讨论了分数傅里叶变换在测量物体微位移方面的应用，提出了一种可同时提取物体的面内位移和倾斜的信息的方法并设计了实验方案和装置。
This article main discuss the measuring the micro-displacement of the object, and we design a new setup to measuring the displacement and the titling factor in one time .
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 method that USES the tight support window signal together with the fractional Fourier transform (FRFT) is discussed.
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。
Principle of fractional Fourier transform (FRFT) and alternation to that linear modulate frequency (LMF) treatment advantage were introduced.
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。
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。
Absrtact: a digital watermarking algorithm is proposed based on chaotic map and fractional Fourier transform.
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