布尔混沌系统的物理随机性分析

龚利爽; 侯二林; 刘海芳; 李凯凯; 王云才

doi:10.11959/j.issn.1000-436x.2019048

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布尔混沌系统的物理随机性分析

学术通信 | 更新时间：2024-06-05

- 布尔混沌系统的物理随机性分析
- Physical random analysis of Boolean chaos
- 通信学报 2019年40卷第3期页码：190-195
- 作者机构：
  
  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
- 作者简介：
  
  [ "龚利爽（1991- ），女，河南漯河人，太原理工大学博士生，主要研究方向为混沌理论与混沌密码。" ]
  [ "侯二林（1992- ），男，河南漯河人，太原理工大学硕士生，主要研究方向为物理随机数发生器技术。" ]
  [ "刘海芳（1989- ），女，山西晋中人，太原理工大学博士生，主要研究方向为混沌理论与混沌密码。" ]
  [ "李凯凯（1994- ），男，山西晋城人，太原理工大学硕士生，主要研究方向为物理随机数发生器技术。" ]
  [ "王云才（1965- ），男，山西运城人，博士，太原理工大学教授、博士生导师，主要研究方向为混沌信号的产生与应用。" ]
- 基金信息：
  
  国家自然科学基金资助项目(61731014)
- DOI：10.11959/j.issn.1000-436x.2019048
  中图分类号： TN91
- 网络出版日期：2019-03，
  
  纸质出版日期：2019-03-25
- 稿件说明：
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龚利爽, 侯二林, 刘海芳, 等. 布尔混沌系统的物理随机性分析[J]. 通信学报, 2019,40(3):190-195.

Lishuang GONG, Erlin HOU, Haifang LIU, et al. Physical random analysis of Boolean chaos[J]. Journal on communications, 2019, 40(3): 190-195.
龚利爽, 侯二林, 刘海芳, 等. 布尔混沌系统的物理随机性分析[J]. 通信学报, 2019,40(3):190-195. DOI： 10.11959/j.issn.1000-436x.2019048.

Lishuang GONG, Erlin HOU, Haifang LIU, et al. Physical random analysis of Boolean chaos[J]. Journal on communications, 2019, 40(3): 190-195. DOI： 10.11959/j.issn.1000-436x.2019048.

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。

Abstract

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.

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references

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