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Expected quality factor of a simple tuned oscillator

机译：简单调谐振荡器的预期品质因数

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A positive feedback system oscillating under self-sustained mode is shown to have an extremely high gain. Modeled as one port, the expected Q is much higher than the loaded Q-factor of the resonator. With just thermal noise present, random phase/frequency deviation is linear. Centered about the oscillator frequency /sup omega/0, noise frequency on both sides is more amplified with decreasing separation distance. Ultimately, frequency pulling may result in synchronous locking with hysteresis, which occurs because a real oscillator displays a truncated limiting curve. Once locked onto a signal, smaller levels are ignored. A new approach to the design and characterization of a simple tuned oscillator is offered: According to the phenomenon of injection locking, there exists an expected quality factor relating the shape of the truncated limiting curve to an ideal curve. In this paper, synthesis and innovative analytical methods of academic interest are revealed: 1) application of the transducer loss method is revised to establish a new method for oscillator characterization; 2) a transparent method of normalizing a two-port network in the presence of white noise is developed; and 3) in quartz crystal controlled oscillators, characterization of the noise originating from an equivalent noise-resistance determined from parameter of the quartz crystal is proposed. It is shown that the two-port model can also be approximated on a one-port basis. In conclusion, a sample of closedform estimation of expected Q-factor order of magnitude of piezoelectric resonator oscillators is calculated.
机译：在自持模式下振荡的正反馈系统显示具有极高的增益。建模为一个端口，预期的Q值远远高于谐振器的负载Q因子。仅存在热噪声，随机相位/频率偏差是线性的。以振荡器频率/ supω/ 0为中心，两侧的噪声频率随着分离距离的减小而进一步放大。最终，频率拉动可能导致磁滞同步锁定，这是因为实际振荡器显示出截断的极限曲线。一旦锁定到信号上，较小的电平将被忽略。提供了一种设计和表征简单调谐振荡器的新方法：根据注入锁定现象，存在将截断的极限曲线的形状与理想曲线相关的预期品质因数。本文揭示了具有学术意义的综合和创新的分析方法：1）修改了换能器损耗法的应用，以建立一种新的振荡器表征方法； 2）开发了一种在存在白噪声的情况下标准化两端口网络的透明方法； （3）在石英晶体控制振荡器中，提出了表征由石英晶体的参数确定的等效抗噪声性的噪声的特征。结果表明，两端口模型也可以在一个端口的基础上近似。总之，计算了压电谐振器的预期Q因子数量级的闭合形式估计样本。

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