一种基于多卷保守混沌系统的伪随机信号发生器的设计及实现  

Design and Implementation of a Pseudo-Random Signal Generator Based on Multi-Scroll Conservative Chaotic System

作　　者：贾红艳[1] 李伟 刘靖雯 JIA Hongyan;LI Wei;LIU Jingwen(College of Electronic Information and Automation,Tianjin University of Science&Technology,Tianjin 300222,China)

机构地区：[1]天津科技大学电子信息与自动化学院,天津300222

出　　处：《天津科技大学学报》2023年第6期69-74,共6页Journal of Tianjin University of Science & Technology

基　　金：国家自然科学基金项目(61903274)。

摘　　要：为产生新的数字混沌伪随机序列,提出一个哈密顿能量与体积均保守的多卷保守混沌系统,且分别利用理论分析和数值分析的方法研究系统的保守性、稳定性、多卷特性等动力学特性。可以发现,系统具有很好的遍历性、复杂性以及较强的伪随机性。对系统进行美国国家标准技术研究所(NIST)测试,所有的测试指标均满足伪随机信号的标准条件。另外,还利用现场可编程门阵列(FPGA)技术设计实现了该多卷保守混沌系统,为混沌应用提供多卷保守混沌系统模型及伪随机信号发生器。In order to generate a new digital chaotic pseudo-random sequence,a multi-scroll conservative chaotic system with both Hamiltonian energy conservation and volume conservation is proposed in our present study.Dynamic characteristics of the system including conservative characteristics,stability,and multi-scroll characteristics were also respectively studied based on theoretical analysis and numerical analysis.It is found that the system has good ergodicity,complexity and strong pseudo-randomness.National Institute of Standards and Technology(NIST)test was further performed for the system,and all the results met standard conditions for pseudo-random signals.Moreover,the multi-scroll conservative chaotic system was designed to implement by field programmable gate array(FPGA)technology,which has provided a multi-scroll conservative chaotic system model and a pseudo-random signal generator for chaos applications.

关 键 词：保守混沌系统 NIST测试 FPGA实现 伪随机信号 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]