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New phase-noise model for crystal oscillators: application to the Clapp oscillator

机译:晶体振荡器的新相位噪声模型:在Clapp振荡器中的应用

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Leeson's is the basic model for predicting oscillator noise. A mathematical analysis of this "heuristic" model has been proposed. Both models do not detail the relative importance of the amplifier transfer function associated to its own noise with regard to that of the resonator. In this paper, an improved version of those previous models is presented. The phase noise generated by the amplifier and the one generated by the resonator are differentiated without considering their origins, such as the conversion of amplitude modulation noise into phase modulation noise. The power spectral densities of phase noise at various points of the oscillator loop are calculated from their respective correlation functions. As a consequence, the influence of the inner amplifier and resonator noises on the resulting oscillator noise is predictable. The model is especially attractive to the makers of widely used quartz oscillators. The resulting oscillator noise is easily obtained from the oscillator open-loop noise. An example of the phase-noise modeling of the Clapp quartz crystal oscillator is simulated and discussed.
机译:Leeson's是预测振荡器噪声的基本模型。已经提出了对该“启发式”模型的数学分析。两种模型都没有详述与谐振器噪声相关的放大器传递函数与其自身噪声相关的相对重要性。在本文中,提出了那些先前模型的改进版本。放大器产生的相位噪声和谐振器产生的相位噪声在不考虑其起源的情况下就可以区分,例如将调幅噪声转换为相位调制噪声。根据其各自的相关函数,可以计算出振荡器环路各个点上的相位噪声的功率谱密度。结果,内部放大器和谐振器噪声对产生的振荡器噪声的影响是可以预测的。该模型对广泛使用的石英振荡器的制造商特别有吸引力。由此产生的振荡器噪声很容易从振荡器开环噪声中获得。模拟并讨论了Clapp石英晶体振荡器的相位噪声建模示例。

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