Oscillator Phase Noise: A Geometrical Approach

Oscillator Modeling and Phase Noise

Oscillator Modeling and Phase Noise by Brian Nguyen Limketkai Doctor of Philosophy in Engineering-Electrical Engineering and Computer Sciences University of California, Berkeley Professor Robert W. Brodersen, Chair Using a dynamical systems perspective, we develop a method to calculate phase noise in oscillators based on a particle diffusion model. Starting from the basic nonlinear equations of...

Some geometrical properties of the oscillator group

‎We consider the oscillator group equipped with‎ ‎a biinvariant Lorentzian metric‎. ‎Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional‎ ‎restricted to vector fields‎. ‎Left-invariant vector fields defining harmonic maps are...

Low Phase Noise Voltage - Controlled Oscillator

Vulnerability to Noise of a Phase-locked Oscillator Array

The eeect of noise on the in-phase attractor of a set of N globally coupled oscillators is studied; these discrete-time maps are associated with the continuous-time equations of motion for a series array of Josephson junction oscillators. We investigate both geometrical properties of the basin of attraction in the large N limit, and the implications of this geometry on the average time for the ...

A Multi-material Low Phase Noise Optomechanical Oscillator

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