[1]李登辉,闵富红,马美玲.基于FPGA技术的混沌系统设计与实现[J].南京师范大学学报(工程技术版),2015,15(01):008-14.
 Li Denghui,Min Fuhong,Ma Meiling.The Design and Implementation of Chaotic SystemBased on FPGA Technology[J].Journal of Nanjing Normal University(Engineering and Technology),2015,15(01):008-14.
点击复制

基于FPGA技术的混沌系统设计与实现
分享到:

南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
15卷
期数:
2015年01期
页码:
008-14
栏目:
电气与自动化工程
出版日期:
2015-03-20

文章信息/Info

Title:
The Design and Implementation of Chaotic SystemBased on FPGA Technology
作者:
李登辉闵富红马美玲
南京师范大学电气与自动化工程学院,江苏 南京 210042
Author(s):
Li DenghuiMin FuhongMa Meiling
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
混沌系统FPGAVerilog HDLDSP-Builder
Keywords:
chaotic systemFPGAVerilog HDLDSP-Builder
分类号:
TP391.3
文献标志码:
A
摘要:
以经典的Lorenz系统为研究对象,利用FPGA数字信号处理技术实现Lorenz混沌系统,减少了外界因素的干扰. 首先,对Lorenz连续系统的方程进行分解,得到离散化状态方程,接着基于DSP-Builder软件开发平台获得系统的电路模型,该模型可直接转化为VHDL语言; 其次,采用硬件描述语言(Verilog HDL)直接编程的形式,对系统进行验证,并从示波器中观测到Lorenz系统的混沌波形. 通过比较上述2种实现混沌系统的方法,总结其优缺点及适用范围,为进一步利用FPGA实现一类非线性系统及相关领域的研究提供实用的方法.
Abstract:
In this paper,the chaotic Lorenz system is carried out through FPGA technology,which can decrease the deviation from the expected effect. Firstly,the differential equation is decomposed in discretized equation,and then the circuit model by DSP-Builder software platform is obtained,which can be translated directly into the VHDL language. Secondly,Lorenz system is tested through the program in hardware description languages,i.e.Verilog HDL. By analyzing the simulation results of the above two methods,the advantages and disadvantages are summarized,respectively. These results provides a reference method to achieve the research in nonlinear system by using FPGA.

参考文献/References:

[1] 禹思敏. 混沌系统与混沌电路—原理、设计及其在通信中的应用[M]. 西安:西安电子科技大学出版社,2011.
Yu Simin. Chaotic Systems and Chaotic Circuits-Principle,Design and its Application in Communications[M]. Xi’an:Xidian University Publishing House,2011.(in Chinese)
[2]晋建秀,丘水生. 基于物理混沌的混合图像加密系统研究[J]. 物理学报,2010,59(2):792-800.
Jin Jianxiu,Qiu Shuisheng. Cascaded image encryption systems based on physical chaos[J]. Acta Physica Sinica,2010,59(2):792-800.(in Chinese)
[3]Merah L,Ali-Pacha A,Said N H. Design and FPGA implementation of Lorenz chaotic system for information security issues[J]. Applied Mathematical Sciences,2013,7(5):237-246.
[4]刘强,方锦清,赵耿,等. 基于FPGA技术的混沌加密系统研究[J]. 物理学报,2012,61(13):78-83.
Liu Qiang,Fang Jinqing,Zhao Geng,et al. Research of chaotic encryption system based on FPGA technology[J]. Acta Physica Sinica,2012,61(13):78-83.(in Chinese)
[5]张家树,肖先赐. 基于广义混沌映射切换的混沌同步保密通信[J]. 物理学报,2001,50(11):2 121-2 125.
Zhang Jiashu,Xiao Xianci. Chaotic synchronization secure communications based on the extended chaotic maps switch[J]. Acta Physica Sinica,2001,50(11):2 121-2 125.(in Chinese)
[6]周武杰,禹思敏. 基于IEEE-754标准和现场可编程门阵列技术的混沌产生器设计与实现[J]. 物理学报,2008,57(8):4 738-4 747.
Zhou Wujie,Yu Simin. Design and implementation of chaotic generators based on IEEE-754 standard and field programmable gate array technology[J]. Acta Physica Sinica,2008,57(8):4 738-4 747.(in Chinese)
[7]邵书义,闵富红,吴薛红,等. 基于现场可编程逻辑门阵列的新型混沌系统实现[J]. 物理学报,2014,63(6):060501-1-9.
Shao Shuyi,Min Fuhong,Wu Xuehong,et al. Implementation of a new chaotic system based on field programmable gate array[J]. Acta Physica Sinica,2014,63(6):060501-1-9.(in Chinese)
[8]刘玉民,张雨虹,姚明林. 基于FPGA的混沌信号发生器的设计与实现[J]. 计算机工程与设计,2010,31(18):3 972-3 974.
Liu Yumin,Zhang Yuhong,Yao Minglin. Design and implementation of chaotic signal generator based on FPGA[J]. Computer Engineering and Design,2010,31(18):3 972-3 974.(in Chinese)
[9]王日明,刘明华,盛堰,等. 基于龙格库塔算法和可编程门阵列技术的混沌系统实现[J]. 西南师范大学学报:自然科学版,2012,37(1):41-46.
Wang Riming,Liu Mnighua,Sheng Yan,et al. Implementation of a chaotic system based on Runge-Kutta algorithm and programmable gate array technology[J]. Journal of Southwest China Normal University:Natural Science Edition,2012,37(1):41-46.(in Chinese)
[10]王忠林,王光义. 基于FPGA的混沌系统设计与实现[J]. 计算机工程与设计,2009,30(14):3 365-3 370.
Wang Zhonglin,Wang Guangyi. Design and implementation of chaotic system based on FPGA[J]. Computer Engineering and Design,2009,30(14):3 365-3 370.(in Chinese)
[11]张钰,禹思敏,刘明华. 用FPGA技术产生多涡卷超混沌吸引子的研究[J]. 电路与系统学报,2007,12(1):39-43.
Zhang Yu,Yu Simin,Liu Minghua. Generating multi-scroll hyperchaotic attractors based on FPGA technology[J]. Journal of Circuits and Systems,2007,12(1):39-43.(in Chinese)
[12]左建政,王光义. 基于FPGA技术的数字混沌信号产生[J]. 杭州电子科技大学学报:自然科学版,2008,28(6):5-8.
Zuo Jianzheng,Wang Guangyi. Generation of digital chaotic signals based on FPGA technology[J]. Journal of Hangzhou Dianzi University:Natural Science Edition,2008,28(6):5-8.(in Chinese)
[13]Lorenz E N. Deterministic nonperiodic flow[J]. Journal of the Atmospheric Sciences,1963,20:130-141.

相似文献/References:

[1]张海龙,闵富红,王恩荣,等.关于Lyapunov指数计算方法的比较[J].南京师范大学学报(工程技术版),2012,12(01):005.
 Zhang Hailong,Min Fuhong,Wang Enrong.The Comparison for Lyapunov Exponents Calculation Methods[J].Journal of Nanjing Normal University(Engineering and Technology),2012,12(01):005.
[2]闵富红,吴薛红,曹弋,等.分数阶混沌系统的追踪同步与电路实现[J].南京师范大学学报(工程技术版),2011,11(02):013.
 Min Fuhong,Wu Xuehong,Cao Yi.Circuit Realization and Tracking of New Fractional-Order Chaotic System[J].Journal of Nanjing Normal University(Engineering and Technology),2011,11(01):013.
[3]邵书义,闵富红,李登辉,等.新型混沌系统的同步及在图像加密传输中的应用[J].南京师范大学学报(工程技术版),2015,15(01):001.
 Shao Shuyi,Min Fuhong,Li Denghui,et al.The Synchronization for Novel Chaotic System and ItsApplication in Image Encryption Transmission[J].Journal of Nanjing Normal University(Engineering and Technology),2015,15(01):001.
[4]王珠林,闵富红,彭光娅,等.一个新三维混沌系统及其电路实现[J].南京师范大学学报(工程技术版),2016,16(01):001.
 Wang Zhulin,Min Fuhong,Peng Guangya,et al.A Three Dimension Chaotic System and Its Circuit Realization[J].Journal of Nanjing Normal University(Engineering and Technology),2016,16(01):001.
[5]褚周健,闵富红,王耀达,等.基于FPGA红外遥控多模式交通信号系统的设计与实现[J].南京师范大学学报(工程技术版),2016,16(01):036.
 Chu Zhoujian,Min Fuhong,Wang Yaoda,et al.The Design and Implementation of Infrared Remote Multi-ModeTraffic Signal System Based on FPGA Technology[J].Journal of Nanjing Normal University(Engineering and Technology),2016,16(01):036.
[6]刘姝言,王青东,李禹志,等.相控超声激发系统的设计[J].南京师范大学学报(工程技术版),2016,16(04):008.[doi:10.3969/j.issn.1672-1292.2016.04.002]
 Liu Shuyan,Wang Qingdong,Li Yuzhi,et al.Design of Phase Controlled Ultrasound Excitation System[J].Journal of Nanjing Normal University(Engineering and Technology),2016,16(01):008.[doi:10.3969/j.issn.1672-1292.2016.04.002]
[7]徐 霞,张 强,罗小彬,等.基于FPGA的高速数据采集控制技术的研究[J].南京师范大学学报(工程技术版),2016,16(04):015.[doi:10.3969/j.issn.1672-1292.2016.04.003]
 Xu Xia,Zhang Qiang,Luo Xiaobin,et al.A Study on High-Speed Data Acquisition Control TechnologyBased on the FPGA[J].Journal of Nanjing Normal University(Engineering and Technology),2016,16(01):015.[doi:10.3969/j.issn.1672-1292.2016.04.003]
[8]金秋森,闵富红,吕晏旻.基于Lorenz系统的离散分析与FPGA实现[J].南京师范大学学报(工程技术版),2019,19(01):029.[doi:10.3969/j.issn.1672-1292.2019.01.004]
 Jin Qiusen,Min Fuhong,Lü Yanmin.Discrete Analysis and FPGA Implementation Based on Lorenz System[J].Journal of Nanjing Normal University(Engineering and Technology),2019,19(01):029.[doi:10.3969/j.issn.1672-1292.2019.01.004]
[9]冯雪峰,禹永植.DQPSK调制解调系统的FPGA实现[J].南京师范大学学报(工程技术版),2021,21(02):034.[doi:10.3969/j.issn.1672-1292.2021.02.006]
 Feng Xuefeng,Yu Yongzhi.FPGA Implementation of DQPSK Modulation and Demodulation System[J].Journal of Nanjing Normal University(Engineering and Technology),2021,21(01):034.[doi:10.3969/j.issn.1672-1292.2021.02.006]

备注/Memo

备注/Memo:
收稿日期:2014-09-21.基金项目:国家自然科学基金(51475246)、江苏省自然科学基金(BK20131402)、教育部留学回国人员科研启动基金(教育司[2012]1707号)和江苏省六大人才高峰资助课题. 通讯联系人:闵富红,博士,副教授,研究方向:非线性电路分析与控制. E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2015-03-30