基于混沌系统和分数阶傅里叶变换的图像加密算法

摘要

An image encryption algorithm based on chaotic system and fractional Fourier transform is proposed. The image encryption process includes the two steps; first the image is encrypted by using confusion matrix which is generated by chaotic system, then the confusion image is encrypted by employing Fractional Fourier domain double random phase, finally the cipher image is obtained. The security of the proposed algorithm depends on the sensitivity to initial conditions of chaotic system, the randomness of phase mask and the orders of FRFT. Theoretical analysis and experimental results demonstrate that the algorithm is favorable.%设计一种基于混沌系统和FRFT(Fractional Fourier Transform)的图像加密算法.图像加密过程分两个步骤:首先利用混沌系统生成的置乱矩阵对图像进行置乱加密,然后利用FRFT将置乱加密的图像进行双随机相位加密得到最终的加密图像.该方案的安全性依赖于混沌系统的参数敏感性、相位掩膜和FRFT阶的随机性.理论分析和仿真实验表明,该方案具有良好的图像加密效果.