Kenig Eyal, Cross M C, Moehlis Jeff, Wiesenfeld Kurt
Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.
Department of Mechanical Engineering, University of California, Santa Barbara, California 93106, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):062922. doi: 10.1103/PhysRevE.88.062922. Epub 2013 Dec 23.
We study the role of amplifier saturation in eliminating feedback noise in self-sustained oscillators. We extend previous works that use a saturated amplifier to quench fluctuations in the feedback magnitude, while simultaneously tuning the oscillator to an operating point at which the resonator nonlinearity cancels fluctuations in the feedback phase. We consider a generalized model which features an amplitude-dependent amplifier gain function. This allows us to determine the total oscillator phase noise in realistic configurations due to noise in both quadratures of the feedback, and to show that it is not necessary to drive the resonator to large oscillation amplitudes in order to eliminate noise in the phase of the feedback.
我们研究了放大器饱和在消除自持振荡器反馈噪声中的作用。我们扩展了先前的工作，这些工作使用饱和放大器来抑制反馈幅度的波动，同时将振荡器调谐到一个工作点，在该点谐振器非线性抵消反馈相位的波动。我们考虑一个具有幅度依赖放大器增益函数的广义模型。这使我们能够确定由于反馈的两个正交分量中的噪声而在实际配置中的总振荡器相位噪声，并表明不必将谐振器驱动到大幅度振荡以消除反馈相位中的噪声。
