Double-image encryption scheme combining DWT-based compressive sensing with discrete fractional random transform》.pdf

Optics Communications 354 (2015) 112–121 Contents lists available at ScienceDirect Optics Communications journal homepage: /locate/optcom Double-image encryption scheme combining DWT-based compressive sensing with discrete fractional random transform Nanrun Zhou a,b,n, Jianping Yang a, Changfa Tan a, Shumin Pan a, Zhihong Zhou c a Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China b Information Security Center, Beijing University of Posts and Telecommunications, Beijing 100876, China c Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai 200240, China a r t i c l e i n f o a b s t r a c t Article history: A new discrete fractional random transform based on two circular matrices is designed and a novel Received 29 March 2015 double-image encryption–compression scheme is proposed by combining compressive sensing with Received in revised form discrete fractional random transform. The two random circular matrices and the measurement matrix 17 May 2015 utilized in compressive sensing are constructed by using a two-dimensional sine Logistic modulation Accepted 20 May 2015 map. Two original images can be compressed, encrypted with compressive sensing and connected into Available online 23 May 2015 one image. The resulting image is re-encrypted by Arnold transform and the discrete fracti