余江妮， 李丽香^*， 彭海朋， 杨义先

（  北京邮电大学信息安全中心；  ）

摘要： 混沌系统的轨迹具有类随机性,压缩感知中测量矩阵的元素具有独立随机性,本文从这两个相似的特性出发,考虑将混沌系统与压缩感知理论相结合,给出了基于混沌理论的安全压缩感知方案.该方案中的混沌系统通过初值产生的混沌序列被应用于压缩感知中测量矩阵的构造,从而使数据在压缩的过程中同时具有对数据加密的功能.本文针对这一方案的可行性和有效性进行了详细的讨论,通过进一步的实验给出了实际应用中保证方案顺利进行所应该满足的条件,并对该方案的安全性进行了评估.
关键词： 压缩感知；混沌；密码；图像压缩

YU Jiangni， LI Lixiang^*， PENG Haipeng， YANG Yixian

（  Information Security Center；  ）

Abstract： Chaos system has the randomlikeness, meanwhile the measurement matrix has the random character, starting from the similarity, this paper will consider to combine the chaos system and compressed sensing theory, provide a chaos based security compressed sensing strategy. In this strategy, the chaos sequence produced by chaos system was applied in the construction of measurement matrix in compressed sensing. By this way, in the process of data compression, the process of encryption can completed at the same time. In this paper, the feasibility and the effectiveness was analyzed in detail, by further experiment, we provided the detailed condition to ensure the smooth progress of this work, and conducted an evaluation of this strategy.?????

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