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Published November 13, 2012 | Published + Submitted
Journal Article Open

Optimal operating points of oscillators using nonlinear resonators

Abstract

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.

Additional Information

© 2012 American Physical Society. Received 16 August 2012; published 13 November 2012. This research was supported by DARPA through the DEFYS program.

Attached Files

Published - PhysRevE.86.056207.pdf

Submitted - 1211.1088.pdf

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Created:
August 19, 2023
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October 20, 2023