Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations

  title={Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations},
  author={C. S. Barquist and W. G. Jiang and Kevin Gunther and Y. Lee},
We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively, allowing them to be distinguished. In the strongly nonlinear regime, amplitude and phase noise due to resonance frequency fluctuations and amplitude noise due to damping fluctuations are strongly attenuated, while the transduction of damping fluctuations into… Expand

Figures from this paper


Optimal operating points of oscillators using nonlinear resonators.
  • E. Kenig, M. Cross, +4 authors M. Roukes
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
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 suchExpand
Surpassing fundamental limits of oscillators using nonlinear resonators.
It is shown that by operating the oscillator at special points in the resonator's anharmonic regime the authors can overcome fundamental limitations of oscillator performance due to thermodynamic noise as well as practical limitations due to noise from the sustaining circuit. Expand
A general theory of phase noise in electrical oscillators
A general model is introduced which is capable of making accurate, quantitative predictions about the phase noise of different types of electrical oscillators by acknowledging the true periodicallyExpand
Frequency and phase noise of ultrahigh Q silicon nitride nanomechanical resonators
We describe the measurement and modeling of amplitude noise and phase noise in ultra-high Q nanomechanical resonators made from stoichiometric silicon nitride. With quality factors exceeding 2Expand
Oscillator phase noise: a tutorial
The time-varying phase noise model presented in this tutorial identifies the importance of symmetry in suppressing the upconversion of 1/f noise into close-in phase noise, and provides an explicit appreciation of cyclostationary effects and AM-PM conversion. Expand
Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities.
The oscillator spectrum is described in terms of coupled susceptibilities for different-frequency states in a simple analytical form and the results bear on dephasing in various types of systems with jumping frequency. Expand
Impact of the closed-loop phase shift on the frequency stability of capacitive MEMS oscillators
Phase noise is a clue performance indicator for MEMS-based resonant sensors. The optimal resolution achievable with these sensors is limited by the close-to-the-carrier phase noise resulting from theExpand
Noise processes in nanomechanical resonators
Nanomechanical resonators can be fabricated to achieve high natural resonance frequencies, approaching 1 GHz, with quality factors in excess of 10^(4). These resonators are candidates for use asExpand
An analytical formulation for phase noise in MEMS oscillators
  • D. Agrawal, A. Seshia
  • Physics, Medicine
  • IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
  • 2014
The proposed nonlinear phase noise model provides analytical insight into the underlying physics and a pathway toward the design optimization for low-noise MEMS oscillators. Expand
Noise in microelectromechanical system resonators
  • J. Vig, Yoonkee Kim
  • Physics, Medicine
  • IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
  • 1999
The frequency noise due to temperature fluctuations, Johnson noise, and adsorption/desorption are likely to limit the applications of ultra-small resonators at submicron dimensions. Expand