Optimal operating points of oscillators using nonlinear resonators

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.


Published in:
Physical Review E, 86, 5, 056207
Year:
2012
ISSN:
1539-3755
Keywords:
Note:
Kenig, E CALTECH, Kavli Nanosci Inst & Condensed Matter Phys, MC 149-33, Pasadena, CA 91125 USA CALTECH, Kavli Nanosci Inst & Condensed Matter Phys, MC 149-33, Pasadena, CA 91125 USA CALTECH, Kavli Nanosci Inst & Condensed Matter Phys, Pasadena, CA 91125 USA Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, Israel, Part 2, 037ZC, Times Cited:0, Cited References Count:24
Laboratories:




 Record created 2013-08-06, last modified 2018-03-17

External link:
Download fulltext
URL
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)