Optimal operating points of oscillators using nonlinear resonators.
Optimal operating points of oscillators using nonlinear resonators.
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DOI：
10.1103/physreve.86.056207
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发表时间：
2012-11
期刊：
影响因子：
--
通讯作者：
Roukes ML
中科院分区：
文献类型：
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作者：
Kenig E;Cross MC;Villanueva LG;Karabalin RB;Matheny MH;Lifshitz R;Roukes ML
我们证明了一种计算一类振子的相位灵敏度的解析方法，该振子的相位不影响其他动态变量的时间演化。我们证明了这种振荡器具有完全消除相位噪声的可能性。我们将该方法应用于采用高Q弱非线性谐振器的反馈振荡器，并给出了反馈相位噪声完全消除的显式参数值，以及没有幅相噪声转换的反馈振荡器的参数值。然后，我们建立了振荡器的工作模式，通过减小两个求积中的反馈噪声、热噪声和品质因数波动来优化其性能。我们还研究了振荡器的频谱，并给出了1/f噪声源的具体结果。
We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for complete phase noise elimination. We apply the method to a feedback oscillator which employs a high Q weakly nonlinear resonator and provide explicit parameter values for which the feedback phase noise is completely eliminated and others for which there is no amplitude-phase noise conversion. We then establish an operational mode of the oscillator which optimizes its performance by diminishing the feedback noise in both quadratures, thermal noise, and quality factor fluctuations. We also study the spectrum of the oscillator and provide specific results for the case of 1/f noise sources.