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基于小波和分数阶傅里叶变换的混沌图像加密
引用本文:李琼,胡绍海,邱禧荷.基于小波和分数阶傅里叶变换的混沌图像加密[J].科技资讯,2014(3):10-12.
作者姓名:李琼  胡绍海  邱禧荷
作者单位:[1]北京交通大学计算机与信息技术学院,北京100044 [2]东北大学中荷生物医学与信息工程学院,辽宁沈阳110819
摘    要:为了进一步提高加密效果和效率,本文提出一种基于小波分解和分数阶傅里叶变换的混沌图像加密方法。加密过程包括三个步骤:首先利用混沌序列对图像进行像素值扰乱;然后进行小波分解并提取出低频分量,对其进行分数阶傅里叶变换;最后进行混沌置乱得到最终加密图像。仿真结果表明该方法能够成功实现图像的加密和解密,具有很好的加密效果和安全性。

关 键 词:分数阶傅里叶变换  小波分解  混沌加密  Logistic映射  二维猫映射

Chaotic Image Encryption Based on the Wavelet and Fractional Fourier Transform
Institution:Li Oiong Hu Shaohai Oiu Xihe (1. School of Computer and Information Technology,Beijing Jiaotong University, Beijing, 100044, China ; 2.School of Zhonghe Biomedical and Information Engineering,Dongbei University,Bhenyang Liaoning,110819,China)
Abstract:In order to get a better encrypted effect and efficiency,in this paper,a new approach of chaotic image encryption based on the wavelet and fractional Fourier transform is proposed to realize multiple encrypted.Encryption process consists of three steps:First, the pixel value of an image is disturbed by the chaotic sequence.Afterwards,the confusion image is dealt with wavelet decomposition and then the low--frequency component is encoded by using the fractional Fourier transform. The final encrypted image is obtained by scrambling the image with 2D cat map in fractional Fourier transform domain. Simulation experimental results have successfully demonstrated the proposed method can improve the effect of image encryption with superior security.
Keywords:Fractional Fourier Transform  Wavelet Decomposition  Chaotic Encryption  Logistic Map  2D Cat Map
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