Title :
An equation-based method for phase noise analysis [oscillator examples]
Author :
Limketkai, Brian N. ; Brodersen, Robert W.
Author_Institution :
Berkeley Wireless Res. Center, California Univ., Berkeley, CA, USA
Abstract :
A method for calculating phase noise based on a particle diffusion model in the phase plane is introduced. This approach allows for the derivation of closed-form solutions, which can be used to see the explicit dependencies of phase noise on circuit component values. The theory is applied to the Van der Pol and Colpitts oscillators, and comparisons to simulations show close matching.
Keywords :
circuit noise; nonlinear network analysis; perturbation theory; phase noise; relaxation oscillators; Colpitts oscillator; Van der Pol oscillator; equation-based phase noise analysis; oscillator nonlinearities; perturbation analysis; perturbation theory; phase noise/circuit component values explicit dependencies; phase plane particle diffusion model; Circuit noise; Circuit simulation; Closed-form solution; Damping; Fluctuations; Frequency; Limit-cycles; Nonlinear equations; Oscillators; Phase noise;
Conference_Titel :
Custom Integrated Circuits Conference, 2003. Proceedings of the IEEE 2003
Print_ISBN :
0-7803-7842-3
DOI :
10.1109/CICC.2003.1249490
