Amplitude Noise of Electrical Oscillators Based on the LTV Model

S. A. Hashemi, H. Ghafoorifard, A. Abdipour


In this paper, using the Linear Time Variant (LTV) noise model of oscillators, an analytical expression for Amplitude Impulse Sensitivity Function (A-ISF) based on the limit cycle of the oscillator is derived for the first time. Also Considering the existing expression for Phase Impulse Sensitivity Function (P-ISF), it is shown that P-ISF and A-ISF are correlated. The derived A-ISF is used to simulate the amplitude noise of the oscillators in the 1/f2 region of the noise spectrum by the LTV model. Simulation and experimental results show the validity of the derived formula.



Circuit noise; oscillators; phase noise; white noise

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