四维混沌与分数傅里叶变换的图像加密方案

Image Encryption Method Based on Hyper-chaos System of 4-D and Fractional Fourier transform

将四维超混沌系统和标准加权类分数傅里叶变换理论相结合,提出了一种数字图像加密双重方案.对图像进行三基色分层标准加权类分数傅里叶变换,利用超四维混沌序列对变换结果进行置乱操作,将置乱后的3层数据融合得到加密图像仿真结果表明,加密后的图像灰度分布均衡,相邻像素的相关系数高度不相关,并且加密图像对秘钥高度敏感,具有较好抗攻击性、鲁棒性.

An image encryption algorithm based on hyper-cbaos system of 4-d and standard weighted fractional fourier transform was proposed. Firstly, do fractional fourier transform of the image about the three colors layered, then transform the results using 4-D hyper-chaos system, lastly the encrypted image was obtained after three layers of data fusion. The numerical simulation results demonstrate that the eneryption algorithm is against common attacks, the correlation coefficients of adjacent pixels is higher irrelevance, has larger key space and sensitive to keys with good security.