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STUDY OF THE OSCILLATION CONDITION OF QUARTZ OSCILLATORS BY GYRATOR TRANSFORMATION

机译:旋转器转换的石英振荡器振荡条件研究

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The calculation of the oscillation condition is one of thc main points of oscillator analysis. Its determination in finite term allows one to calculate the steady state amplitude and frequency of the oscillator. Symbolic solutions provide an additional insight into the behavior of the circuit. As an example the sensitivity of thc oscillator to parameter change can be expressed in an exact form. Numerical solulions arc not as helpful as symbolic solutions in the design stage. We present a technique, based on thc gyrator transformarion, to set up thc nonlinear equation network in a form suitable to be solved with analylieal methods. We develop a symbolic program based on this technique. As an example, thc symbolic program is applied to compute the exact expression of the steady state frequency and amplitude of the Van der Pol oscillator and the Colpitts oscillator.
机译:振荡条件的计算是振荡器分析的THC主要点之一。其在有限术语中的确定允许人们计算振荡器的稳态幅度和频率。符号解决方案提供了对电路行为的额外洞察。作为一个示例,THC振荡器对参数变化的灵敏度可以以精确的形式表示。数值宿主在设计阶段中的符号解决方案没有那么有用。我们提出了一种基于THC陀螺器变形的技术,以以适于用Analylieal方法解决的形式建立THC非线性方程网络。我们基于此技术开发一个符号程序。作为示例,应用THC符号程序以计算van der POL振荡器和Colpitts振荡器的稳态频率和幅度的精确表达。

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