Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:D2L-C

Session:

Number:856

Measurement Technique for Experimentally Estimating the Phase Sensitivity Function of an Oscillator

Xi Dong,  Michael Peter Kennedy,  

pp.856-859

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.856

PDF download (738.4KB)

Summary:
This paper describes an experimental procedure for extracting the phase-sensitivity of an oscillator to noise perturbations. The method relies on injection-locking the oscillator and measuring the widths of the ranges over which the oscillator synchronizes with an injected small-amplitude signal. The resulting sensitivity function can be employed to predict accurately how internal noise sources contribute to output phase-noise and jitter. The experimental estimation procedure is applied to a relaxation oscillator that exhibits strongly nonlinear behavior.

References:

[1] A.Hajimiri and T.H. Lee, “A general theory of phase noise in electrical oscillators,“ IEEE J. Solid-State Circuits, vol. 33, no. 2, pp. 179-194,Feb. 1998.

[2] A. Demir, A. Mehrotra, and J. Roychowdhury, “Phase noise in oscillators: A unifying theory and numerical methods for characterisation,“ IEEE Trans. Circuits Syst.I, Fundam. Theory Appl., vol. 47, no. 5, pp. 655-674, May 2000.

[3] P. Maffezzoni, “An Experimental Method to Extract the Phase-Sensitivity of Oscillators to Noise Perturbations ”, IEEE Transactions on Circuits and Systems, paper accepted, Sep. 2011.

[4] M.P. Kennedy, Hongjia Mo, Xi Dong, “Experimental Characterization of Arnold Tongues in Injection-Locked CMOS LC Frequency Dividers with Tail and Direct Injection,” European Conference on Circuit Theory and Design (ECCTD), pp. 484-487 , Sep. 2011.

[5] J.A. Glazier and A. Libchaber. “Quasi-Periodicity and Dynamical Systems: An Experimentalist's View,” IEEE Trans. Circuits and Systems, vol. 35, no. 7, pp. 790-809, Jul. 1988.