A Spectral Model for RF Oscillators With Power-Law Phase Noise

In this paper, we apply correlation theory methods to obtain a model for the near-carrier oscillator power-spectral density (PSD). Based on the measurement-driven representation of phase noise as a sum of power-law processes, we evaluate closed form expressions for the relevant oscillator autocorrel...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2006-09, Vol.53 (9), p.1989-1999
Main Authors: Chorti, A., Brookes, M.
Format: Article
Language:English
Subjects:
1f noise
Autocorrelation functions
Colored noise
Correlation theory
Density
Exact solutions
frequency noise
Gaussian
Gaussian PSD
Lorentzian PSD
Mathematical analysis
Noise
Noise generators
Noise measurement
oscillator power-spectral density (PSD)
Oscillators
Phase measurement
Phase modulation
Phase noise
Power system modeling
power-law process
Radio frequency
Spectra
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Summary:In this paper, we apply correlation theory methods to obtain a model for the near-carrier oscillator power-spectral density (PSD). Based on the measurement-driven representation of phase noise as a sum of power-law processes, we evaluate closed form expressions for the relevant oscillator autocorrelation functions. These expressions form the basis of an enhanced oscillator spectral model that has a Gaussian PSD at near-carrier frequencies followed by a sequence of power-law regions. New results for the effect of white phase noise, flicker phase noise and random walk frequency modulated phase noise on the near-carrier oscillator PSD are derived. In particular, in the case of 1/f phase noise, we show that despite its lack of stationarity it is possible to derive a closed form expression for its effect on an oscillator PSD and show that the oscillator output can be considered to be wide-sense stationary
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2006.881182