计算机应用与软件Issue(2)：318-321,333,5.DOI:10.3969/j.issn.1000-386x.2016.02.074
基于离散分数阶 Fourier 变换本征矢量分解的图像加密算法
IMAGE ENCRYPTION ALGORITHM BASED ON EIGENVECTOR DECOMPOSITION OF DISCRETE FRACTIONAL FOURIER TRANSFORM
摘要
Abstract
Current algorithms use discrete fractional Fourier transform (DFRFT)to encrypt images,they have the shortcoming of poor sensitivity in key.In light of this,we proposed a new algorithm,which combines the discrete fractional Fourier transform with exponential random phase mask and Logistic chaotic mapping for encryption.In encryption process the algorithm adopts the method of discrete fractional Fourier transform eigenvector decomposition for computing,and this significantly improves the safety performance of the encryption system. First,it conducts Logistic mapping chaotic scrambling processing on original image,then is multiplied by the first exponential random matrix A ,after that the DFRFT of order αis applied;Secondly,it is multiplied by the second exponential random matrix B ,then the DFRFT of order βis applied again;Finally,it uses Logistic mapping to scramble the image once again to get the final ciphertext image.Simulation results showed that compared with other similar encryption mechanisms,the proposed encryption system considered both the stronger key sensitivity and higher security.关键词
图像加密/离散分数阶 Fourier 变换/本征矢量分解/密钥敏感性/混沌置乱Key words
Image encryption/Discrete fractional Fourier transform/Eigenvector decomposition/Key sensitivity/Chaotic scrambling分类
信息技术与安全科学引用本文复制引用
田玉萍..基于离散分数阶 Fourier 变换本征矢量分解的图像加密算法[J].计算机应用与软件,2016,(2):318-321,333,5.基金项目
黑龙江省新世纪高等教育教学改革工程项目（JG2013010437）；黑河学院高等教育教学改革项目（Xjg1303）。 （）
