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
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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.
|Item Type:||Book Section|
Conference held on April 15-20, 2007, Hawaii Convention Center, Honolulu, Hawaii, U.S.A.
|Research Areas:||Middlesex University Schools and Centres > Business School > Economics and International Development|
|Deposited On:||25 Mar 2009 17:42|
|Last Modified:||09 Oct 2014 10:13|
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