Optimal Selection of Oscillator Resonant Circuit Parameters
Xianhe Huang
Abstract
Xianhe Huang
Abstract
Since selection of oscillator resonant circuit parameters depends more on experiences,from the equivalent circuit of the oscillator the nonlinear differential equations are obtained for describing the oscillator.By introducing a stochastic term to describe the internal electrical noise of the oscillator,nonlinear stochastic differential equation is established for analysis of the oscillator behavior.Oscillator resonant circuit parameters on the genetic algorithm optimization results have been used,using Pierce crystal oscillator with 10 MHz,to obtain the experiment evidence.When C1 approaches to C2 in the oscillation circuit,phase noise in the Pierce crystal oscillator can be depriced with great easy depression.
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Since selection of oscillator resonant circuit parameters depends more on experiences,from the equivalent circuit of the oscillator the nonlinear differential equations are obtained for describing the oscillator.By introducing a stochastic term to describe the internal electrical noise of the oscillator,nonlinear stochastic differential equation is established for analysis of the oscillator behavior.Oscillator resonant circuit parameters on the genetic algorithm optimization results have been used,using Pierce crystal oscillator with 10 MHz,to obtain the experiment evidence.When C1 approaches to C2 in the oscillation circuit,phase noise in the Pierce crystal oscillator can be depriced with great easy depression.
Key concepts: Vackář oscillator, Variable-frequency oscillator, Pierce oscillator, Delay line oscillator, Parametric oscillator, Oscillation (cell signaling), Digitally controlled oscillator, Phase noise