Oscillator Modeling and Phase Noise
نویسندگان
چکیده
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 motion, a phase diffusion equation is formulated by viewing the system in state space. The resulting phase diffusion solution is then found approximately by using multiple scale perturbation theory to get closed-form analytical expressions. In this way, the effects of the nonlinearities on the phase diffusion become evident. Similar techniques are then also applied to finding the locking bandwidth of a 2:1 injection-locked frequency divider. Robert W. Brodersen, Chair
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