基于云模型与Fibonacci的混沌伪随机序列发生器设计  

Design of Chaotic Pseudo-random Sequence Generator Based on Cloud Model and Fibonacci Function

作　　者：魏连锁[1] 胡现成 郭媛[1] 陈炜 马志昇 WEI Liansuo;HU Xiancheng;GUO Yuan;CHEN Wei;MA Zhisheng(College of Computer & Control Engineering, Qiqihar University, Qiqihar 161006, Heilongjiang, China)

机构地区：[1]齐齐哈尔大学计算机与控制工程学院

出　　处：《实验室研究与探索》2019年第8期57-61,共5页Research and Exploration In Laboratory

基　　金：国家自然科学基金项目(61571150,61872204);黑龙江省自然科学基金项目(F2017029);黑龙江省教育厅面上项目(135109237、135209235);黑龙江省高等教育教学改革立项项目(SJGY20170386,SJGY20180567,GBC1317212);齐齐哈尔大学教育科学研究项目重点支持项目(2016010,2016011);齐齐哈尔大学研究生创新科研项目(YJSCX2018-ZD09);全国规划课题(FIB170510)

摘　　要：结合云模型在精确数值间的随机性和模糊性,以及三阶Fibonacci序列产生速度快、可控参数多的特点,提出了一种将云模型与广义三阶Fibonacci相结合的混沌系统伪随机序列发生器。利用量子Logistic混沌系统产生的混沌序列作为广义三阶Fibonacci函数模型的参数,实现参数的动态随机更替;将云发生器产生的云滴群作为广义三阶Fibonacci函数的变量,再由广义三阶Fibonacci函数与Logistic 映射级联耦合得到广义三阶Fibonacci混沌系统模型,基于此模型设计了一种伪随机序列发生器。实验分析表明,该发生器能快速并行产生混沌伪随机序列,具有结构简单、伪随机性强、分布均匀、相关性小等特征,并且每次产生的混沌伪随机序列都具有独立随机性,无法找到周期规律,从而克服了混沌伪随机序列发生器设计中存在的根本性缺陷。Combining the randomness and ambiguity of the cloud model in precise values and the characteristics of fast generation of third-order Fibonacci sequences. A pseudo-random sequence generator of chaotic system combining cloud model with generalized third-order Fibonacci is proposed. Firstly, the chaotic sequence generated by the quantum logistic chaotic system is used as the parameter of the generalized third-order Fibonacci function model to achieve the dynamic randomness of the parameters, then the cloud droplet group generated by the cloud generator is used as the variable of the generalized third-order Fibonacci function, and then the generalized third-order Fibonacci function is coupled with the Logistic map to obtain the generalized third-order Fibonacci chaotic system model. Based on this model, a pseudo-random sequence generator is designed. The experimental simulation analysis shows that the generator can generate chaotic pseudo-random sequences quickly and in parallel form, and has the characteristics of simple structure, strong pseudo-randomness, uniform distribution and low correlation. In each time the chaotic pseudo-random sequence generated has independent randomness, and the periodicity cannot be found, thus, the fundamental defects in the design of chaotic pseudo-random sequence generator are overcome.

关 键 词：云模型 广义三阶Fibonacci 混沌系统 伪随机序列发生器 

分 类 号：O436[机械工程—光学工程] O439[理学—光学]