Resolving near carrier spectral infinities due to 1/f phase noise in oscillators.

Chorti, Arsenia and Brookes, Michael (2007) Resolving near carrier spectral infinities due to 1/f phase noise in oscillators. In: 2007 IEEE International Conference on Acoustics, Speech, and Signal proceedings. IEEE, pp. 1005-1008. ISBN 9781424407286. [Book Section]

Abstract

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 oscillator stationarity. Furthermore, in
agreement with experimental data, we explain how a quadratic and a logarithmic term appear in the autocorrelation function and establish the relationship between the logarithmic term and the 1/f characteristics
of the oscillator random process.

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