# Resolving Near-Carrier Spectral Infinities Due to 1/f Phase Noise in Oscillators

@article{Chorti2007ResolvingNS, title={Resolving Near-Carrier Spectral Infinities Due to 1/f Phase Noise in Oscillators}, author={A. Chorti and M. Brookes}, journal={2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07}, year={2007}, volume={3}, pages={III-1005-III-1008} }

In this paper, we derive an expression for the near-carrier power spectral density of an oscillator having 1/f phase noise. Motivated by empirical metrics such as the Allan variance, we develop a rigorous mathematical analysis and derive a closed-form expression for the oscillator autocorrelation function in the case of exactly 1/f phase noise that is smoothed using a rectangular time window. We show that this smoothed 1/f phase noise results in a finite variance noise process and preserves… Expand

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