Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

A novel memristor-based multi-scroll hyperchaotic system is proposed. Based on a voltage-controlled memristor and a modulating sine nonlinear function, a novel method is proposed to generate the multi-scroll hyperchaotic attractors. Firstly, a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear function. Then, a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic system. Thus, a memristor-based multi-scroll hyperchaotic system is generated, and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological structures. Moreover, different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system parameters. The Lyapunov exponents, bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic system. Besides, the field programmable gate array (FPGA) based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried out. The experimental results of the FPGA-based digital circuit are displayed on the oscilloscope.     

Operational criterion for controlled dense coding with non-trivial tripartite entangled states

Hidden hyperchaotic attractors can be generated with three positive Lyapunov exponents in the proposed 5D hyperchaotic Burke–Shaw system with only one stable equilibrium. To the best of our knowledge, this feature has rarely been previously reported in any other higher-dimensional systems. Unidirectional linear error feedback coupling scheme is used to achieve hyperchaos synchronisation, which will be estimated by using two indicators: the normalised average root-mean squared synchronisation error and the maximum cross-correlation coefficient. The 5D hyperchaotic system has been simulated using a specially designed electronic circuit and viewed on an oscilloscope, thereby confirming the results of the numerical integration. In addition, fractional-order hidden hyperchaotic system will be considered from the following three aspects: stability, bifurcation analysis and FPGA implementation. Such implementations in real time represent hidden hyperchaotic attractors with important consequences for engineering applications.     

基于微控制器数字硬件实现的网格涡卷超混沌系统

基于微控制器(MCU)设计了一个通用的四维混沌系统数字硬件实验电路,由此实现了9×7网格涡卷的混沌和超混沌吸引子的生成.本文基于由Colpitts振荡器模型延伸出的四维多涡卷超混沌系统,通过引入单位锯齿波函数替换原系统中的三角波函数,构建了一个便于MCU数字硬件实现的新的网格涡卷超混沌系统,并对新系统网格涡卷吸引子的形成机理进行了分析和数值仿真.通过采用Euler算法对新系统进行离散化,在实验电路的有效动态范围内可以生成比原系统更多网格涡卷数量的吸引子.实验结果有效验证了本文基于MCU实现的网格涡卷超混沌系统的可行性.     

四涡卷超混沌吸引子的DSP实现

提出了基于数字信号处理(DSP)实现四涡卷超混沌吸引子的方法.利用四阶龙格库塔法对连续四维超混沌系统进行离散化处理,用C语言编写源程序,并在CCS编译器上编译、调试和仿真成功后,下载固化到DSP芯片内,实现四涡卷超混沌吸引子,硬件实验与软件仿真结果完全一致.     

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

提出了基于IEEE-754标准的现场可编程门阵列(FPGA)通用混沌与超混沌信号产生器设计与硬件实现的一种新方法. 首先,根据Euler算法,对连续混沌系统作离散化处理,便于FPGA等一类数字信号处理器件的实现. 其次,基于IEEE-754标准和模块化设计理念,用硬件描述语言构建出浮点数的乘法运算、加法运算、符号函数运算、正负绝对值运算、初始值与迭代值选择等5个基本模块,并以此为基础,进一步在FPGA平台上产生包括网格状多涡卷蔡氏系统在内的多种不同类型的混沌与超混沌信号. 最后,通过对语音芯片的配置,利用 关键词： 网格状多涡卷混沌系统 IEEE-754标准 现场可编程门阵列 浮点数算法     

Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability

Memristor chaotic systems have aroused great attention in recent years with their potentials expected in engineering applications. In this paper, a five-dimension (5D) double-memristor hyperchaotic system (DMHS) is modeled by introducing two active magnetron memristor models into the Kolmogorov-type formula. The boundness condition of the proposed hyperchaotic system is proved. Coexisting bifurcation diagram and numerical verification explain the bistability. The rich dynamics of the system are demonstrated by the dynamic evolution map and the basin. The simulation results reveal the existence of transient hyperchaos and hidden extreme multistability in the presented DMHS. The NIST tests show that the generated signal sequence is highly random, which is feasible for encryption purposes. Furthermore, the system is implemented based on a FPGA experimental platform, which benefits the further applications of the proposed hyperchaos.     

参数不确定时延超混沌系统的脉冲同步方法研究

针对一类参数不确定的异构时延超混沌系统,采用响应系统与驱动系统状态变量误差的线性反馈作为脉冲控制信号,基于Lyapunov稳定性理论实现了超混沌系统的脉冲同步,给出了渐近稳定条件,并构造了一个具有时延的数字保密通信系统.该方案保密性高,鲁棒性强.数值仿真表明系统能快速达到同步,应用混沌密码序列对数字信号进行加密后,信息信号可以在接收端有效地恢复出来. 关键词： 时延 脉冲同步 数字保密通信     

Fuzzy modeling and impulsive control of hyperchaotic Lü system

This paper presents a novel approach to hyperchaos control of hyperchaotic systems based on impulsive control and the Takagi--Sugeno (T--S) fuzzy model. In this study, the hyperchaotic Lü system is exactly represented by the T--S fuzzy model and an impulsive control framework is proposed for stabilizing the hyperchaotic Lü system, which is also suitable for classes of T--S fuzzy hyperchaotic systems, such as the hyperchaotic R?ssler, Chen, Chua systems and so on. Sufficient conditions for achieving stability in impulsive T--S fuzzy hyperchaotic systems are derived by using Lyapunov stability theory in the form of the linear matrix inequality, and are less conservative in comparison with existing results. Numerical simulations are given to demonstrate the effectiveness of the proposed method.     

基于现场可编程门阵列技术的混沌数字通信系统——设计与实现

提出了基于IEEE-754标准和现场可编程门阵列(FPGA)技术的混沌数字通信系统的通用设计与硬件实现的一种新方法,实现了混沌加密体制与传统密码体制的结合.根据Euler算法,对连续混沌系统作离散化处理,通过FPGA硬件设计混沌离散系统,使其产生作为密钥的混沌数字序列,其中加密算法采用置乱扩展技术,并对算法进行了分析.设计驱动响应式同步保密通信系统,构建包含信号在内的闭环,实现发送端与接收端离散混沌系统的同步.以网格蔡氏混沌系统为例,对该保密通信系统进行了FPGA硬件实验,给出了技术实现过程、算法流程、硬 关键词： 网格多涡卷蔡氏电路 置乱扩展矩阵 现场可编程门阵列技术 混沌数字通信系统     

Modified function projective combination synchronization of hyperchaotic systems

In this work, a novel combination synchronization scheme in which synchronization of a new combination hyperchaotic drive system formed by combining state variables of the original drive system with appropriate scaling factors with a response hyperchaotic system is considered. A self-combination system is constructed from hyperchaotic Lorenz system by combining state variables of the Lorenz system with appropriate scaling factors. Modified function projective synchronization between the newly constructed combination hyperchaotic Lorenz system and hyperchaotic Lu system is investigated using adaptive method. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the state of two systems as modified function projective synchronized. Numerical simulations are done to show the validity and effectiveness of the proposed synchronization scheme.     

保守超混沌在数字图像加密中的应用

基于保守超混沌信号，提出一种数字图像加密算法.该算法利用一个5维保守超混沌系统产生5通道时间序列对原图像分别进行RGB三基色像素级和比特级置乱，再对置乱的RGB三基色作异或操作.在此基础上，利用其中一个通道的时间序列作为密钥分别进行一次正向异或操作的扩散和S盒处理，一次反向异或操作的扩散与S盒处理及置乱，得到加密的图像.最后利用直方图、信息熵、密钥空间等安全性指标对该加密算法进行测试，并与一个五维耗散超混沌系统应用于图像加密的实例进行对比.数值结果表明保守混沌应用到数字图像加密的算法具有更高的安全性和可靠性.     

基于FPGA技术的混沌加密系统研究

提出了一种基于混沌加密算法和传统加密算法的混沌加密系统, 并采用FPGA技术进行了硬件开发. 根据离散化和数字化技术, 将Henon映射和Logistic映射作离散化处理, 采用Verilog HDL语言和FPGA技术产生迭代序列, 结合传统加密算法, 基于Xilinx的FPGA开发平台进行了硬件实验研究, 并给出了该系统通过互联网上实现了文件加密和解密的通信实验, 结果显示具有网络通信的应用潜力.     

基于DSP和FPGA图像采集技术的研究

本文介绍了一种基于可编程逻辑器件(FPGA)和数字信号处理器(DSP)的图像采集系统。采用增强型视频输入处理芯片SAA7111A完成对视频信号的模数转换,以FPGA为数据逻辑控制单元,结合DSP控制实现了对图像的实时采集传输。介绍了系统的整体结构。并详细讨论了FPGA的控制逻辑,DMA图像存取等工作原理。     

有限冲击响应滤波器在四频激光陀螺中的应用

针对目前四频差动激光陀螺光学解调方案可靠性和温度特性差的特点,介绍一种基于FPGA的数字拍频解调方案。分析了四频差动激光陀螺数字拍频解调对电路系统的需求,对数字拍频解调的关键部件低通滤波器进行了设计与实现。根据四频差动激光陀螺的特性参数计算滤波器的通带截止频率及阻带截止频率,使用MATLAB的滤波器设计和分析工具FDATool完成了有限冲击响应（FIR）数字滤波器的参数设计,并利用Xilinx公司的FPGA集成开发环境ISE实现FIR数字滤波器的片上系统设计。仿真和实验结果表明,所设计的FIR数字滤波器对四频差动激光陀螺的和频分量衰减达到-66 dB,满足四频差动激光陀螺拍频解调的需求,并有助于实现四频差动激光陀螺的小型化和数字化。     

A new FPGA-based trigger/DAQ system for the MTV experiment at TRIUMF

A new FPGA based data acquisition (DAQ) and trigger combined system is developed for the MTV experiment (Mott Polarimetry for T-Violation Experiment). The MTV experiment measures backward Mott scattering events by detecting the incident and scattered tracks using a drift chamber. For the backward scattering probability is as small as less than 0.1%, efficient triggering system is required to select the desired events. An intelligent Level-2 trigger system reading hitting pattern together with its digital readout system are built in a custom FPGA system. In this paper, design overview and results from performance tests are described.     

A new Rosslor hyperchaotic system and its realization with systematic circuit parameter design

Based on two modified Rosslor hyperchaotic systems, which are derived from the chaotic Rosslor system by introducing a state feedback controller, this paper proposes a new switched Rosslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results.     

多核DSP高速实时信号处理系统设计

介绍了基于TI公司多核定点DSP(TMS320C6474)的高速实时数字信号处理系统。系统利用FPGA作为控制单元和转接芯片,通过SRIO接口作为DSP芯片的数据输入输出接口,具有信号处理能力超高、输入输出接口简洁、以及存储能力较大的优点。在软件实现中,利用了乒乓数据吞吐,静态内存分配技术和三核软件同步机制,通过优化算法,高效地实现了三核DSP实时信号处理,计算效率达到了设计要求。在项目图像信号实时处理中得到了成功应用,取得了良好的效果。     

基于SOPC的分段轨道炮发射控制系统设计

针对自主研发的分段轨道炮,设计了一种基于EP2C8Q208C型FPGA的数字型发射控制系统,该系统采用SOPC(System on a Programmable Chip)可编程片上系统技术,将Nios II处理器软核嵌入到FPGA中,利用软核中的IO、定时器、串口通讯等功能实现了分段轨道炮的发射控制,通过B探针对分段处电枢位置进行检测。采用串口与上位机通讯,界面设计采用LabView,可以对发射时序进行任意设置。系统操作方便、可扩展性强,已运用到分段轨道炮发射控制中,试验结果满足发射要求,为分段轨道炮的机理研究提供了基础。     

兰州重离子加速器控制系统DSP组件设计

针对重离子加速器部分电源的控制要求,进行了分析研究,提出并实现了一种实时、高效、多功能的控制系统。该系统基于数字信号处理器（DSP）和两片现场可编程门阵列（FPGA）芯片相结合的核心处理构架,在系统后端利用PXI总线接口配合FPGA来与工控机箱中的系统控制器和其他控制组件进行大批量数据交互;系统前端利用直接数字频率合成器、模数转换器和数模转换器等器件结合DSP和FPGA中的控制算法及相应控制机制来实现对不同电源控制参数的处理和功率的输出;平台中两组光纤模块也与FPGA相配合实现对同步触发事例等实时数据的收发和调试。     

Circuit implementation of a new hyperchaos in fractional-order system

This paper introduces a new four-dimensional （4D） hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincare mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6.