改进型Colpitts宽带混沌电路设计
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摘要
由于标准Colpitts电路在高频时受寄生电容的影响,限制其基本频率的提高。针对上述问题,提出将标准二级型Colpitts电路进行改进以提高电路的基本频率,即将标准二级型Colpitts电路的电感转移到第二级三极管的基极上,在两个三极管的基极均串联一个电阻,得到二级改进型Colpitts电路。利用数值分析求解二级改进型Colpitts电路的六阶微分方程的图形与数值解,得到该电路的系统分岔图、相图、时域信号等基本信息。分析以上基本信息得知,上述电路可以有效减小寄生电容对电路谐振频率的影响,使谐振网络的总电容大大减小,提高电路所产生混沌信号的基频频率。结果表明:二级改进型Colpitts电路可以工作在周期态与混沌态,基频相比标准二级型Colpitts电路有了极大地提高。
Since standard Colpitts circuit is influenced by parasitic capacitance at high frequencies,which limits the increase of the fundamental frequency. For the above problems,the inductance of two-stage Colpitts circuit was transfered to the base of the second transistor,and both bases of the two transistors connected a resistor in series,to get the improved two-stage Colpitts circuit. The numerical analysis was used to solve the six-order differential equation of the improved two-stage Colpitts circuit. The basic information of the circuit such as bifurcation diagram,phase diagram and time-domain signal was obtained. Analysis of the basic information shows that this circuit can effectively reduce the influence of parasitic capacitance on the resonant frequency of the circuit,greatly reduce the total capacitance of the resonant network,and increase the fundamental frequency of the chaotic signal generated by the circuit.The results show that the improved two-stage Colpitts circuit can work in periodic and chaotic states,and the fundamental frequency has been greatly improved compared with the standard two-stage Colpitts circuit.
Since standard Colpitts circuit is influenced by parasitic capacitance at high frequencies,which limits the increase of the fundamental frequency. For the above problems,the inductance of two-stage Colpitts circuit was transfered to the base of the second transistor,and both bases of the two transistors connected a resistor in series,to get the improved two-stage Colpitts circuit. The numerical analysis was used to solve the six-order differential equation of the improved two-stage Colpitts circuit. The basic information of the circuit such as bifurcation diagram,phase diagram and time-domain signal was obtained. Analysis of the basic information shows that this circuit can effectively reduce the influence of parasitic capacitance on the resonant frequency of the circuit,greatly reduce the total capacitance of the resonant network,and increase the fundamental frequency of the chaotic signal generated by the circuit.The results show that the improved two-stage Colpitts circuit can work in periodic and chaotic states,and the fundamental frequency has been greatly improved compared with the standard two-stage Colpitts circuit.
引文
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[2] V Venkatasubramanian,H Leung. A novel chaos-based high-resolution imaging technique and its application to through-the-wall imaging[J]. IEEE Signal Processing Letters,2005,12(7):528-531.
[3] F Luigi,F Mattia,R Alessandro. Chaotic pulse position modulation to improve the efficiency of sonar sensors[J]. IEEE transactions on instrumentation and measurement,2003,52(6):1809-1814.
[4]孙克辉,杨静利,丘水生.分数阶混沌系统的电路仿真与实现[J].计算机仿真,2011,28(2):117-139.
[5]张帆.一种新六维Duffing-Lu混沌系统及其电路实现[J].科学技术与工程,2013,13(12):3372-3380.
[6] T F Yao,t al. Distributed MIMO chaotic radar based on wavelength division multiplexing technology[J]. Optics Letters,2015,40(8):1631-1634.
[7] C Li,et al. Root imaging from ground penetrating radar data by CPSO-OMP compressed sensing[J]. Journal of Forestry Research,2017,28:155-132.
[8] A Mohammed,et al. Modelling a Microwave Chaotic Generator for RADAR and Communication Systems[C]. Proceedings of the 8th IEEE GCC Conference and Exhibition. Muscat,Oman:IEEE Press,2015.
[9] M Kennedy. Chaos in the Colpitts oscillator[J]. IEEE Transactions on Circuits and Systems I,1994; 41(11):771-774.
[10] A Tamassevicius,S Bumeliene,E Lindberg. Improved chaotic Colpitts oscillator for ultrahigh frequencies[J]. Electronics Letters,2004; 40(25):1569-1570.
[11] A Tamassevicius,et al. Two-stage chaotic Colpitts oscillator[J].Electronics Letters,2001,37(9):549-551.
[12] S Bumeliene,et al. Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range[J]. Nonlinear Dynamics,2006; 44(1):167-172.
[13]陈文兰,王昊,郑林华,宋晓侠.负阻提升的微波振荡器设计[J].微波学报,2016,32(5):55-57.
[14] J Kengne,et al. Dynamical properties and chaos synchronization of improved Colpitts oscillators[J]. Commun Nonlinear SCI.2012,17(7):2914-2923.
[15] R T obert,et al. Chaos in a Single Op-Amp–Based Jerk Circuit:Experiments and Simulations[J]. IEEE Transactions on Circuits and Systems II. 2016; 63(3):239-243.
[16]戴朱祥,吴庆庆,李涛.分数阶Lorenz混沌系统的同步控制[J].计算机仿真,2015,32(6):314-319.
[17] J Kengne,et al. On the analysis of bipolar transistor based chaotic circuits:case of a two-stage colpitts oscillator[J]. Nonlinear Dynamics,2012,67(2):1247-1260.
[18] S Sampath,er al. An Eight-Term Novel Four-Scroll Chaotic System with Cubic Nonlinearity and its Circuit Simulation[J]. Journal of Engineering Science and Technology Review,2015,8(2):1-6.