一种分段线性映射的混沌随机数发生器特性研究

Characteristic Analysis of a Chaotic Random Number Generator Using Piece-Wise-Linear Map

该文通过对确定性混沌演化本质的分析和对其系统状态空间的划分,使它转变为一个各态历经的信息源以用于设计随机数发生器。然后又分析了一种混沌的分段线性映射的特性,如:混沌吸引子与点吸引子,信源熵与冗余度以及混沌映射产生的序列的分布特性。此外,利用开关电容电路技术用TSMC 0.25μm CMOS数模混合工艺实现了此分段线性映射。测试结果表现出非常好的抗干扰性能。

Through analyzing the nature of the evolution of the deterministic chaos and partitioning its state space, a deterministic chaotic system can be turned into an ergodic information source which could be used to design a Random Number Generator(RNG). The characteristics of a chaotic piecewise-linear map are also analyzed, for instance, chaotic attractor and point attractor, source entropy and redundancy, as well as the distribution of the sequence generated by the map. Further, the map is implemented in TSMC 0.25μm CMOS mixed-signal process utilizing switched capacitor circuit techniques. The test results indicate very good performance in anti-jamming.