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Including orbital fluctuations in the noise spectrum of autonomous circuits

Published online by Cambridge University Press:  18 January 2011

Fabio L. Traversa  and
Fabrizio Bonani
Fabio L. Traversa
Affiliation:
Departament d'Enginyeria Electrònica, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain.
Fabrizio Bonani*
Affiliation:
Dipartimento di Elettronica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. Phone: +39 011 5644140.
*
Corresponding author: F. Bonani Email: fabrizio.bonani@polito.it
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Abstract

We discuss the impact of orbital fluctuations on the noise spectrum of a free-running oscillator, exploiting a rigorous nonlinear perturbative analysis based on the Floquet theory, and providing evidence of its relevance for high-Q oscillators.

Keywords

Circuit simulationAutononmous systemsNonlinear oscillatorsOscillator noise
Type
Research Article
Information
International Journal of Microwave and Wireless Technologies , Volume 3 , Issue 1 , February 2011 , pp. 11 - 18
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2011

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References

REFERENCES

[1]Berstein, I.L.: On fluctuations in the neighborhood of periodic motion of an auto-oscillating system. Doklad. Akad. Nauk., 20 (1938), 11.Google Scholar
[2]Hafner, E.: The effect of noise in oscillators. Proc. IEEE, 54 (1966), 179–198.CrossRefGoogle Scholar
[3]Lax, M.: Classical noise. V. Noise in self-sustained oscillators. Phys. Rev., 160 (1967), 290–306.CrossRefGoogle Scholar
[4]Kurokawa, K.: Noise in synchronized oscillators. IEEE Trans. Microw. Theory Tech., 16 (1968), 234–240.CrossRefGoogle Scholar
[5]Hajimiri, A.; Lee, T.H.: The Design of Low Noise Oscillators, Kluwer Academic Publishers, Dordrect, 1999.Google Scholar
[6]Demir, A.; Mehrotra, A.; Roychowdhury, J.: Phase noise in oscillators: a unifying theory and numerical methods for characterization. IEEE Trans. Circ. Syst. I: Fund. Theory and Appl., 47 (2000), 655–674.CrossRefGoogle Scholar
[7]Traversa, F.L.; Bonani, F.: Oscillator noise: a nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation. IEEE Trans. Circ. Syst. I: Regular Papers (2011), submitted.Google Scholar
[8]Kaertner, F.X.: Determination of the correlation spectrum of oscillators with low noise. IEEE Trans. Microw. Theory Tech., 37 (1989), 90–101.CrossRefGoogle Scholar
[9]Traversa, F.L.; Bonani, F.; Donati Guerrieri, S.: A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations. Int. J. Circuit Theory Appl., 36 (2008), 421–439.CrossRefGoogle Scholar
[10]Traversa, F.L.; Bonani, F.: Oscillator noise: a rigorous analysis including orbital fluctuations. Workshop on Integrated Nonlinear Microwave and Millimetre-wave Circuits (INMMIC), Göteborg, Sweden, 2010.Google Scholar
[11]Traversa, F.L.; Bonani, F.: Frequency domain evaluation of the adjoint Floquet eigenvectors for oscillator noise characterization. IET Circuits, Devices Syst. (DOI: 10.1049/iet-cds.2010.0138), (2011), to appearCrossRefGoogle Scholar
[12]Dec, A.; Toth, L.; Suyama, K.: Noise analysis of a class of oscillators. IEEE Trans. Circuits Syst., 45 (1998), 757–760.Google Scholar
[13]Brambilla, A.; Gruosso, G.; and Storti Gajani, G.: Determination of Floquet exponents for small-signal analysis of nonlinear periodic circuits. IEEE Trans. Computer-Aided Design Integr. Circuits Syst., 28 (2009), 447–451.CrossRefGoogle Scholar
[14] MATLAB, The Mathworks, Natick, MA, USA. www.matlab.comGoogle Scholar
[15]Sweet, A.A.: Designing Bipolar Transistor Radio Frequency Integrated Circuits, Artech House, Norwood, 2008.Google Scholar
[16]Demir, A.: Floquet theory and non-linear perturbation analysis for oscillators with differential-algebraic equations. Int. J. Circ. Theory Appl., 28 (2000), 163–185.Google Scholar
[17]Brambilla, A.; Gruosso, G.; Redaelli, M.A.; Storti Gajani, G.; Caviglia, D.D.: Improved small signal analysis for circuits working in periodic steady state. IEEE Trans. Circ. Syst. I: Regular Papers, 57 (2010), 427–437.Google Scholar