北京联合大学学报(自然科学版)
北京聯閤大學學報(自然科學版)
북경연합대학학보(자연과학판)
Journal of Beijing Union University(Natural Sciences)
2015年
4期
78-83
,共6页
离散阵列广义同步系统%分数阶傅里叶变换%混沌序列%像素矩阵%彩色图像加密
離散陣列廣義同步繫統%分數階傅裏葉變換%混沌序列%像素矩陣%綵色圖像加密
리산진렬엄의동보계통%분수계부리협변환%혼돈서렬%상소구진%채색도상가밀
Generalized synchronization%Fractional Fourier transform%Chaotic sequence%pixel matrix%Color image encryption
为设计出具有较高安全性能的图像算法,提出了一种基于离散阵列广义同步系统的彩色图像加密算法. 首先利用离散阵列广义同步定理,在3 D-Lorenz映射的基础上构造了一个具有16 × 16 × 6的阵列广义同步系统. 其次,结合二维离散分数阶傅里叶变换设计了一种彩色图像加密算法. 该算法对像素矩阵进行了新混沌序列的位置变换,提高了密钥空间. 加密算法的密钥敏感性、直方图和信息熵的仿真实验表明:该加密算法安全性高,能够达到较好的加解密效果.
為設計齣具有較高安全性能的圖像算法,提齣瞭一種基于離散陣列廣義同步繫統的綵色圖像加密算法. 首先利用離散陣列廣義同步定理,在3 D-Lorenz映射的基礎上構造瞭一箇具有16 × 16 × 6的陣列廣義同步繫統. 其次,結閤二維離散分數階傅裏葉變換設計瞭一種綵色圖像加密算法. 該算法對像素矩陣進行瞭新混沌序列的位置變換,提高瞭密鑰空間. 加密算法的密鑰敏感性、直方圖和信息熵的倣真實驗錶明:該加密算法安全性高,能夠達到較好的加解密效果.
위설계출구유교고안전성능적도상산법,제출료일충기우리산진렬엄의동보계통적채색도상가밀산법. 수선이용리산진렬엄의동보정리,재3 D-Lorenz영사적기출상구조료일개구유16 × 16 × 6적진렬엄의동보계통. 기차,결합이유리산분수계부리협변환설계료일충채색도상가밀산법. 해산법대상소구진진행료신혼돈서렬적위치변환,제고료밀약공간. 가밀산법적밀약민감성、직방도화신식적적방진실험표명:해가밀산법안전성고,능구체도교호적가해밀효과.
In order to design image encryption algorithm with higher security, a new color image encryption algorithm based on generalized chaos synchronization array systems is presented in this paper. Firstly, by use of the generalized synchronization theorem for discrete array systems, a novel generalized chaos synchronization array system with 16 × 16 × 6 cells is constructed on the basis of 3D-Lorenz map. Then, a color image encryption algorithm is designed through the fractional Fourier transform. Position of the new chaotic sequence in pixel matrix is transformed by the algorithm. Thus, the key space is extended. Finally, numerical simulations of key parameter sensitivity, histograms and information entropy show that the scheme has sound security, and the scheme is effective in network communication.