基于饱和非线性模块的多涡卷混沌电路
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摘要
针对分立元件构造的多涡卷混沌电路存在电源电压高、耗能多、频谱范围窄、电路体积大的问题,采用跨导电容结构,设计了一种将非线性模块、跨导器、电压反相器集成于一体的多涡卷混沌电路。非线性模块呈现饱和特性,通过调节电流源和MOS管宽长比来改变其特性曲线的转折点、饱和值、斜率,方便地构造出分段线性函数电路。设计了网格多涡卷Jerk系统和单方向多涡卷Chua系统,采用非线性模块分别搭建了Jerk系统中的阶梯波函数电路和Chua系统中的三角波函数电路。Pspice仿真结果证明了搭建的非线性模块和混沌电路设计、电路功能的正确性。
In order to conquer the disadvantages of multi-scroll chaotic circuits constructed with discrete components,such as high supply voltage,high power dissipation,narrow frequency spectral range,and large volume consumption,an integratable chaotic circuit constructed with nonlinear modules,transconductors and voltage inverting amplifiers was proposed.The amplitude of the output,the turning point,and the slope in linear region of the output characteristic curve of the proposed nonlinear module could be adjusted by changing the current source and the ratio of width with respect to length of the corresponding MOSFETs in the modules.Thus,the nonlinear module could be implemented to construct PWL function circuits.Integratable circuit designs of grid multi-scroll Jerk circuit and single-direction multi-scroll Chua circuit were proposed.Nonlinear module was used to construct the step wave function circuit in Jerk circuit and the triangle wave function circuit in Chua circuit.Pspice simulation results had verified our designs.
In order to conquer the disadvantages of multi-scroll chaotic circuits constructed with discrete components,such as high supply voltage,high power dissipation,narrow frequency spectral range,and large volume consumption,an integratable chaotic circuit constructed with nonlinear modules,transconductors and voltage inverting amplifiers was proposed.The amplitude of the output,the turning point,and the slope in linear region of the output characteristic curve of the proposed nonlinear module could be adjusted by changing the current source and the ratio of width with respect to length of the corresponding MOSFETs in the modules.Thus,the nonlinear module could be implemented to construct PWL function circuits.Integratable circuit designs of grid multi-scroll Jerk circuit and single-direction multi-scroll Chua circuit were proposed.Nonlinear module was used to construct the step wave function circuit in Jerk circuit and the triangle wave function circuit in Chua circuit.Pspice simulation results had verified our designs.
引文
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[3]于万波,王大庆.曲面迭代的混沌特性及其在人脸识别中的应用[J].计算机辅助设计与图形学学报,2015,27(12):2264-2271.
[4]易锦燕,黄雪丽.基于混沌时间序列线性回归预测模型的供应链绩效评价[J].统计与决策,2015,(22):44-46.
[5]LIU C,WANG B,LIU Y.Seismic velocity analysis based on the Duffing oscillator chaotic system[J].Chinese J Geophysics-Chinese Edit,2015,58(6):2057-2068.
[6]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(1):1-7.
[7]张朝霞,禹思敏.用时滞和阶跃序列组合生成网格多涡卷蔡氏混沌吸引子[J].物理学报,2009,58(1):120-130.
[8]包伯成,刘中,许建平.一类超混沌系统电路实现及其动力学分析[J].四川大学学报(工程科学版),2010,42(2):182-187.
[9]周欣,王春华,郭小蓉.一个新的网格多翅膀混沌系统及其电路实现[J].物理学报,2012,61(20):121-130.
[10]LI G,CHEN X.Analysis and circuit implementation of a novel piecewise linear chaotic system[C]//IEEE Int Conf Commun,Circ&Syst.Guilin,China.2006:2365-2367.
[11]王春华,尹晋文,林愿.基于电流传输器的网格多涡卷混沌电路设计与实现[J].物理学报,2012,61(21):114-121.
[12]吴先明,何怡刚,于文新.基于电流反馈放大器的网格多涡卷混沌电路设计与实现[J].物理学报,2014,63(18):127-133.
[13]左婷,孙克辉,艾星星,等.基于同相第二代电流传输器的网格多涡卷混沌电路研究[J].物理学报,2014,63(8):17-25.
[14]DELG ADO-RESTITU TO M,RO DRIGU EZVAZQUEZ A.A CMOS analog chaotic oscillator for signal encryption[C]∥IEEE 19th ESSCIRC.Sevilla,Spain.1993:110-113.
[15]GANDHI G,ROSKA T.MOS-integrable circuitry for multi-scroll chaotic grid realization:a spice-assisted proof[J].Int J Circ Theo&Applic,2009,37(3):473-483.
[16]RODRíGUE Z-VAZQUEZ A,DELGADO-RESTITUTO M.CMOS design of chaotic oscillators using state variables:a monolithic Chua's circuit[J].IEEE Trans Circ&Syst II:Anal&Digi Signal Process,1993,40(10):596-613.
[17]MINAEI S,YUCE E.A simple CMOS-based inductor simulator and frequency performance improvement techniques[J].AEU-Int J Elec&Commun,2012,66(11):884-891.