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Enhancing Spectral Range and Power of Chaos in Colpitts Oscillator by Diode-Varactor Based Capacitive Nonlinearity in LC-Tank

机译:通过基于LC-Tank的二极管-变容二极管的电容非线性增强Colpitts振荡器的频谱范围和混沌功率

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The paper presents a simple modification in the feedback network of standard Colpitts oscillator for the generation of high frequency chaos with enhanced power. The modification consists of replacing one capacitor in the voltage divider arm of the feedback LC-tank of standard Colpitts circuit by a pair of back-to-back connected varactor diodes. The voltage dependent capacitance of the varactor diode pair varies nonlinearly with the output voltage, which generates nonlinear feedback signal. This combined with input I-V nonlinearity of the amplifier generates high frequency chaotic output with enhanced power. The spectral band gets extended up to 5 GHz and the power increases approximately by two times. The present work is a simulation study based on the nonlinear dynamics of the Colpitts circuit. The analysis includes calculations of fixed points, Lyapunov stability, bifurcation diagrams, phase portraits and frequency spectrum by Fourier transform. Simulation results are for comparing the chaotic behaviors before and after modification.
机译:本文提出了对标准Colpitts振荡器反馈网络的简单修改,以产生具有增强功率的高频混沌。修改包括用一对背对背连接的变容二极管替换标准Colpitts电路的反馈LC储罐的分压器臂中的一个电容器。变容二极管对的电压相关电容随输出电压非线性变化,从而产生非线性反馈信号。这与放大器的输入I-V非线性相结合,产生具有增强功率的高频混沌输出。频谱范围扩大到5 GHz,功率大约增加了两倍。目前的工作是基于Colpitts电路的非线性动力学的仿真研究。分析包括通过傅立叶变换计算不动点,李雅普诺夫稳定性,分叉图,相图和频谱。仿真结果用于比较修改前后的混沌行为。

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