Non-linear Perturbation Analysis Technology of Phase Noise in LC Oscillator

Oscillator phase noise is an important performance indicator.This paper,through the nonlinear differential equation derivation of the oscillator,introduces a new parameter for considering the correlation of the amplitude noise and phase noise,and linking the parameter with work point of the oscillator.These formulas are derived and the paper also considers the LC circuit in the amplitude noise and phase noise,including their correlation.Based on this,the paper discusses how to reguard the output signal in time domain equation as small perturbations,how to establish stochastic differential equations after the introduction of noise,and realize the phase-noise analysis of LC oscillator.