摘要
针对目前基于分数阶傅里叶变换的图像加密算法中存在的不足,设计了一种基于分数阶傅里叶变换和混沌系统的图像加密新算法。图像加密过程分两个步骤:首先将原始图像的分数阶傅里叶变换系数经过双随机相位加密,然后利用混沌系统生成的置乱矩阵对图像进行置乱加密后得到最终的加密图像。方案的安全性依赖于随机相位掩膜、分数阶傅里叶变换阶数以及混沌系统的初始参数。理论分析和模拟实验结果表明该方案具有良好的图像加密效果。
In order to cope with the shortage of present image encryption algorithm, a novel image encryption algo- rithm based on chaotic system and fractional Fourier transform is proposed in this paper. The image encryption pro- cess includes two steps： first the image is encrypted by employing fractional Fourier through double random phase, then the confusion image is encrypted by using confusion matrix which is generated by chaotic system, and finally the cipher image is obtained. The security of the proposed algorithm depends on the sensitivity to the randomness of phase mask, the orders of FRFT and the initial conditions of chaotic system. Theoretical analysis and experimental results show that the program has a good effect of image encryption.
出处
《成都信息工程学院学报》
2010年第1期22-25,共4页
Journal of Chengdu University of Information Technology
关键词
信息安全
图像加密
分数阶傅里叶变换
双随机相位
混沌系统
置乱矩阵
information security
image encryption
fractional Fourier transform
double random phase
chaotic sys- tem
confusion matrix
