布尔混沌系统的物理随机性分析  

Physical random analysis of Boolean chaos

作　　者：龚利爽 侯二林 刘海芳 李凯凯 王云才 GONG Lishuang;HOU Erlin;LIU Haifang;LI Kaikai;WANG Yuncai(College of Physics and Optoelectronics,Taiyuan University of Technology,Taiyuan 030024,China;Key Laboratory of Advanced Transducers and Intelligent Control System,Ministry of Education,Taiyuan 030024,China)

机构地区：[1]太原理工大学物理与光电工程学院,山西太原030024 [2]新型传感器与智能控制教育部和山西省重点实验室,山西太原030024

出　　处：《通信学报》2019年第3期190-195,共6页Journal on Communications

基　　金：国家自然科学基金资助项目(No.61731014)~~

摘　　要：为了分析布尔混沌系统的物理随机性,构建了基于自治布尔网络的电路混沌模型,建立了包含相位噪声特性的数学方程,研究了相位噪声对布尔混沌熵增长时间(记忆时间)的影响。研究结果表明,在相位噪声的影响下,布尔混沌输出将在有限的记忆时间(数十纳秒)后达到无法预测,且相位噪声越强,布尔混沌平均记忆时间越短。这证明了相位噪声是布尔混沌物理随机性的来源,且布尔混沌可以作为性能良好的真随机数物理熵源。To analyze the physical randomness of Boolean chaos,the model for chaotic circuit system based on autonomous Boolean network was established.In addition,the equations of the Boolean network with phase noise were deduced.By considering the phase noise,the time for the growth of entropy for an ensemble of trajectories,called the memory time,was analyzed.It was demonstrated that Boolean chaos would be unpredictable after tens of nanoseconds,and less average memory time was required as the phase noise strength increased.It is shown that Boolean chaos has physical randomness because of phase noise and it also lays the theoretical foundation for the entropy source of true random number generator based on chaotic Boolean network.

关 键 词：自治布尔网络 布尔混沌 相位噪声 物理随机性 

分 类 号：TN91[电子电信—通信与信息系统]