Parameter Selection of Oscillator Resonant Circuit Based on Stochastic Differential Equation


  • Yan Gang Feng College of Computer Science, Sichuan University
  • Huang Xian He School of Automation Engineering, University of Electronic Science and Technology of China
  • Xu Ning Jing School of Electronic Information Engineering, Chengdu University



Because the choice of oscillator resonant circuit parameters depends mostly on experience, we propose nonlinear differential equations to describe an oscillator based on an equivalent circuit of the oscillator and then to describe the internal electrical noise of the oscillator by introducing a stochastic term that establishes a nonlinear stochastic differential equation to analyse the oscillator's behavior. For optimization of the oscillator resonant circuit parameters, first, we used Advanced Design System (simulation software of the Agilent company) to verify the conclusion, and then, using a 10MHz Pierce crystal oscillator, provided experimental evidence.


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How to Cite

Feng, Y. G., Xian He, H., & Jing, X. N. (2014). Parameter Selection of Oscillator Resonant Circuit Based on Stochastic Differential Equation. Journal of Engineering and Technological Sciences, 46(2), 170-179.