Amplitude-phase coupling effects on the spectral lineshape of oscillators

Fergal O'Doherty; James P. Gleeson

doi:10.1117/12.609124

23 May 2005 Amplitude-phase coupling effects on the spectral lineshape of oscillators

Fergal O'Doherty, James P. Gleeson

Proceedings Volume 5847, Noise in Communication Systems; (2005) https://doi.org/10.1117/12.609124
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

In this paper we discuss the effects of white noise on the spectral lineshape of a simple two dimensional oscillator and compare to the phase noise spectrum predicted by the methods of Demir and Kaertner. A numerical method based on the Fokker-Planck equation is employed to directly calculate the spectrum of the dynamical system. These results are then used as a benchmark to assess the efficiency of a novel small-noise perturbation method we have developed. Due to the simplicity of the oscillator it is possible to solve the approximated partial differential equation using both characteristics; these solutions are then compared to the exact numerical results. We elucidate the effect of the amplitude-phase coupling term which causes the spectral lineshape to become non-Lorentzian.

Citation Download Citation

Fergal O'Doherty and James P. Gleeson "Amplitude-phase coupling effects on the spectral lineshape of oscillators", Proc. SPIE 5847, Noise in Communication Systems, (23 May 2005); https://doi.org/10.1117/12.609124

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