基于预设定频率分布的Colpitts混沌电路设计

Chaotic Colpitts circuit design based on specifiedfrequency distribution

为了找出Colpitts混沌电路的设计综合准则,给出基于预设定频率分布的电路主要元件参数表达式.通过引入了电路的数学模型,导出电路的归一化状态方程,在电路仿真的基础上,得到电路的频率分布特征.根据三个预设定的频率分布,计算出电路主要元件参数,使用专业的射频微波仿真软件高级设计系统(ADS)对电路进行仿真.仿真结果表明,在上限频率为100MHz^1GHz的预设定频率分布的情况下,电路输出混沌信号的频谱与预设定频率分布均吻合较好.对混沌Colpitts电路和蔡氏电路的设计准则差异的研究表明,Colpitts电路更适合于高频宽带混沌发生器的应用.

In order to find the design and synthesis guideline of chaotic Colpitts circuit, an empirical relationship between the frequency distribution and the fundamental frequency was proposed. By introducing the mathematical model of the circuit, the normalized state equation was derived under a more realistic condition. Based on a large amount of circuit simulation work, the frequency distribution characteristics of chaotic Colpitts circuit was obtained, and the parameter expressions of the main circuit elements were derived from the normalized state equation. Simulation results indicate that for upper limit frequency ranging in 100 MHz - 1 GHz, the frequency distribution of the output chaotic signal agrees well with the specified frequency distribution. Compared with the design of chaotic Chua's circuit with specified frequency distribution, the Colpitts circuit is more suitable for the implementation of high frequency broadband chaotic generator.