In this paper, a novel image encryption algorithm based on the fractional-order chaotic system and compression sensing algorithm is proposed. Firstly, the dynamical characteristics of the fractional-order chaotic system are analyzed. The hardware circuit is designed in and realized on the DSP. Secondly, the block feedback diffusion algorithm is applied to this encryption scheme. The elements of the cipher block are decided by the front of the cipher block and the plain-text block. In this algorithm, it needs to be emphasized that the scrambling calculation and the diffusion operation are carried out simultaneously. The simulation results show that the algorithm can effectively encrypt digital images. Finally, the security analysis demonstrates the security and the effectiveness of the proposed encryption algorithm.

提出了一种基于分数阶混沌系统和压缩感知算法的图像加密算法。首先，分析了分数阶混沌系统的动力学特性。硬件电路是在DSP上设计并实现的。其次，将块反馈扩散算法应用于该加密方案。密码块的元素由密码块和纯文本块的前面决定。在该算法中，需要强调的是加扰计算和扩散操作是同时进行的。仿真结果表明，该算法可以有效地加密数字图像。最后，安全性分析证明了所提出的加密算法的安全性和有效性。